--- /dev/null
+@Article{OW85,
+ author = {D. P. O'Leary and R. E. White},
+ title = {Multi-splittings of matrices and parallel solution of linear systems},
+ journal = {Journal on Algebraic and Discrete Mathematic},
+ year = {1985},
+ volume = {6},
+ pages = {630-640},
+}
+
+@ARTICLE{Frommer1989,
+ author = {A. Frommer},
+ year = 1989,
+ title = {Parallel Nonlinear Multisplitting Methods},
+ journal = {Numerische Mathematik},
+ volume = 56,
+ pages = {269-282}
+}
+
+
+
+
+
+@Article{VBH96,
+ author = {J.G. Verwer, J.G. Blom and W. Hundsdorfer},
+ title = {An implicit-explicit approach for atmospheric transport-chemistry problems},
+ journal = {Applied Numerical Mathematics: Transactions of IMACS},
+ pages = {191-209},
+ year = {1996},
+ editor = {},
+ volume = {20},
+ number = {1-2},
+}
+
+@book{Bertsekas89,
+ author = {D. P. Bertsekas and J. N. Tsitsiklis},
+ title = {Parallel and Distributed Computation: Numerical
+ Methods},
+ year = {1989},
+ publisher = {Prentice Hall},
+ address = {Englewood Cliffs NJ},
+ pages = {715},
+
+}
+
+
+@Article{dfv83,
+ author = {E. W. Dijkstra and W. H. J. Feijen and A. J. M. VanGasteren},
+ title = {Derivation of a termination detection algorithm for distributed computations},
+ journal = {Information Processing Letters},
+ year = {1983},
+ OPTkey = {},
+ volume = {16},
+ number = {5},
+ pages = {217-219},
+ OPTmonth = {},
+ OPTnote = {},
+ OPTannote = {}
+}
+
+@Article{SuperCo05,
+ author = {Bahi, J.M. and Contassot-Vivier, S. and Couturier, R.},
+ title = {Performance comparison of parallel programming environments for implementing {AIAC} algorithms},
+ journal = {Journal of Supercomputing. Special Issue on Performance Modelling and Evaluation of Parallel and Distributed Systems},
+ year = {2006},
+ volume = {35},
+ number = {3},
+ pages = {227-244},
+}
+
+
+@PhdThesis{pv2006,
+ author = {Philippe Vuillemin},
+ title = {Calcul itératif asynchrone sur infrastructure pair-à-pair : la plate-forme JaceP2P},
+ school = {Université de Franche-Comté},
+ year = {2006},
+ OPTkey = {},
+ OPTtype = {},
+ OPTaddress = {},
+ OPTmonth = {},
+ OPTnote = {},
+ OPTannote = {}
+}
+
+@Book{bookbcc,
+ author = {J. M. Bahi and S. Contassot-Vivier and R. Couturier},
+ title = {Parallel Iterative Algorithms; From Sequential to Grid Computing},
+ publisher = {Chapman and Hall/CRC},
+ year = {2007},
+}
+
+
+
+@Article{cfhl:00,
+ author = {B. Carpenter and G. Fox and S. H. Ko and S. Lim},
+ title = {Object serialization for marshaling data in a Java interface to MPI},
+ journal = {Concurrency: Practice and Experience},
+ year = {2000},
+ OPTkey = {},
+ volume = {12},
+ number = {18},
+ pages = {539-553},
+ OPTmonth = {},
+ OPTnote = {},
+ OPTannote = {}
+}
+
+@InProceedings{bdm06:ip,
+ AUTHOR = {J. M. Bahi and S. Domas and K. Mazouzi},
+ TITLE = {More on JACE: New functionalities, New experiments},
+ YEAR = {2006},
+ MONTH = {April},
+ BOOKTITLE = {IPDPS 2006},
+ PAGES = {231--239},
+ PUBLISHER = {IEEE Computer Society Press}
+}
+
+@InProceedings{bclm07,
+ AUTHOR = {J. M. Bahi and R. Couturier and D. Laiymani and K. Mazouzi},
+ TITLE ={Java and asynchronous iterative applications: large scale experiments},
+ YEAR = {2007},
+ MONTH = {March},
+ BOOKTITLE = {IPDPS 2007},
+ PAGES = {195--203},
+ PUBLISHER = {IEEE Computer Society Press}
+}
+
+@InProceedings{bcl08,
+ AUTHOR = {J. M. Bahi and R. Couturier and D. Laiymani},
+ TITLE ={Comparison of Conjugate Gradient and Multisplitting algorithms of NAS benchmark with the Jace environment},
+ YEAR = {2008},
+ MONTH = {April},
+ BOOKTITLE = {IPDPS 2008},
+ PUBLISHER = {IEEE Computer Society Press}
+}
+
+@ARTICLE{FM92,
+ author = {A. Frommer and G. Mayer},
+ year = 1992,
+ title = {On the Theory and Practice of Multisplitting Mehods in Parallel
+ Computation},
+ journal = {Computing},
+ volume = 49,
+ pages = {63-74}
+}
+
+@ARTICLE{FM89,
+ author = {A. Frommer and G. Mayer},
+ year = 1989,
+ title = {Convergence of Relaxed Parallel Multisplitting Methods},
+ journal = {Linear Algebra Appl.},
+ volume = 119,
+ pages = {141-152}
+}
+@Manual{nio,
+ title = {New I/O API},
+ note = {http://java.sun.com/j2se/1.4.2/
+ docs/guide/nio}
+}
+
+@article{ptree,
+ author = {A. V. Gerbessiotis},
+ title = {Architecture independent parallel binomial tree option price
+ valuations.},
+ journal = {Parallel Computing},
+ volume = {30},
+ number = {2},
+ year = {2004},
+ pages = {301-316},
+ ee = {http://dx.doi.org/10.1016/j.parco.2003.09.003},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+
+}
+
+@InProceedings{zhang05,
+ author = {Zhang, Y.and Tipparaju, V. and Nieplocha, J. and Hariri, S.},
+ title = {Parallelization of the NAS Conjugate Gradient benchmark using the global arrays shared memory programming model},
+ booktitle = {Proc. of 19th International Parallel and Distributed Processing Symposium},
+ year = {2005},
+ month = {April},
+ publisher = {IEEE Computer Society Press},
+}
+
+@TechReport{NPB2002,
+ author = {R.F. Van der Wijngaart},
+ title = {NAS Parallel Benchmarks Version 2.4},
+ institution = {NASA Advanced Supercomputing Division},
+ year = {2002},
+}
+
+@manual{MTJ,
+ title = {{MTJ : Matrix Toolkit for Java.}},
+ note = {http://mtj.dev.java.net/}
+}
+
+
+@ARTICLE{NieuwpoortSCPE05,
+ author = {R. V. van Nieuwpoort and J. Maassen and T. Kielmann and H. E. Bal},
+ title = {Satin: Simple and Efficient {J}ava-based Grid Programming},
+ journal = {Scalable Computing: Practice and Experience},
+ volume = 6,
+ number = 3,
+ pages = {19-32},
+ month = {September},
+ year = {2005},
+}
+
+
+
+@Manual{npb,
+ title = {NAS Parallel Benchmarks},
+ note = {Available on-line from: http://science.nas.nasa.gov/Software/NPB}
+}
+
+@Manual{grid5000,
+ title = {Grid'5000},
+ note = {http://www.grid5000.fr}
+}
+
+@Manual{vd2006,
+ author = {A. Van Der Stee and J. Dongara},
+ title = {Overview of recent supercomputers},
+ note = {http://www.top500.org/orsc/2006},
+}
+
+
+
+@Book{par99,
+ author = {B. Parhami},
+ title = {Introduction to parallel processing: algorithms and architectures},
+ publisher = {Springer},
+ year = {1999},
+ series = {Plenum Series in Computer Science},
+}
+
+@InProceedings{pugh03mpjava,
+Author = {B. Pugh and J. Spaccol},
+title = {{MPJava: High Performance Message Passing in Java using Java.nio}},
+booktitle = {Proceedings of the Workshop on Languages and Compilers for Parallel Computing},
+month = oct,
+year = 2003,
+address = {College Station, Texas, USA}
+}
+
+@ARTICLE{JS96,
+ author = {M. Jones and D. B. Szyld},
+ year = 1996,
+ title = {Two-Stage Multisplitting Methods with Overlapping Blocks},
+ journal = {Numer. Linear Algebra Appl.},
+ volume = 3,
+ pages = {113-124}
+}
+
+ @InProceedings{huet04high,
+author = {F. Huet and D. Caromel and H. E. Bal},
+title = {{A High Performance Java Middleware with a Real Application}},
+booktitle = {Proceedings of the Supercomputing Conference},
+month = nov,
+year = 2004,
+address = {Pittsburgh, Pensylvania, USA}
+}
+
+@article{bcvc06:ij,
+author = {Bahi, J. M. and Contassot-Vivier, S. and Couturier, R.},
+title = {Performance comparison of parallel programming environments for implementing {AIAC} algorithms},
+journal = {Journal of Supercomputing},
+pages = {227--244},
+volume = 35,
+number = 3,
+year = 2006,
+
+}
+
+
+@ARTICLE{BMR97,
+ author = {J. Bahi and J.-C. Miellou and K. Rhofir},
+ year = 1997,
+ title = {Asynchronous Multisplitting Methods for Nonlinear Fixed Point
+ Problems},
+ journal = {Numerical Algorithms},
+ volume = 15,
+ pages = {315-345}
+}
+
+
+@ARTICLE{FS97,
+ author = {A. Frommer and H. Schwandt},
+ year = 1997,
+ title = {A Unified Representation and Theory of Algebraic Additive {S}chwarz
+ and Multisplitting Methods},
+ journal = {SIAM Journal on Matrix Analysis and Applications},
+ volume = 18
+}
+
+@ARTICLE{AMP1999,
+ author = {J. Arnal and V. Migallon and J. Penad{\`e}s},
+ year = 1999,
+ title = {Non-Stationary Parallel {N}ewton Iterative Methods for Nonlinear
+ Problems},
+ journal = {Lecture Notes in Comput. Sci.},
+ volume = 1573,
+ pages = {142-155}
+}
+
+@Book{Gro94,
+ author = "W. Gropp and E. Lusk and A. Skjellum",
+ title = "Using MPI : portable parallel programming with the
+ message passing interface",
+ publisher = "MIT Press",
+ year = "1994",
+}
+
+@manual{MTJ,
+ title = {{MTJ : Matrix Toolkit for Java.}},
+ note = {http://ressim.berlios.de/}
+}
+
+
+
+
+
+@article{Neurad,
+ author = {Bahi,J. M. and Contassot-Vivier,S. and Makovicka,L. and Martin,E. and Sauget,M.},
+ title = {{N}eurad},
+ journal = {Agence pour la Protection des Programmes. No:~IDDN.FR.001.130035.000.S.P.2006.000.10000},
+ year = 2006
+}
+
+@article{AES2009,
+ author = {Bahi,J. M. and Contassot-Vivier,S. and Sauget,M.},
+ title = {An Incremental Learning Algorithm for Functional Approximation},
+ journal = {Advances in Engineering Software},
+ year = {2009},
+ optkey = {},
+ volume = {40},
+ number = {8},
+ pages = {725-730},
+ optmonth = {},
+ note = {doi:10.1016/j.advengsoft.2008.12.018},
+ optannote = {}
+}
+
+@article{ RADIO09,
+ author = "Makovicka, L. and Vasseur, A. and Sauget, M. and Martin, E. and Gschwind, R. and Henriet, J. and Salomon, M.",
+ title = "Avenir des nouveaux concepts des calculs dosim\'etriques bas\'es sur les m\'ethodes
+de {M}onte {C}arlo",
+ DOI= "10.1051/radiopro/2008055",
+ url= "http://dx.doi.org/10.1051/radiopro/2008055",
+ journal = "Radioprotection",
+ year = 2009,
+ volume = 44,
+ number = 1,
+ pages = "77-88",
+ month = "jan",
+}
+
+@article{NIMB2008,
+ author = {Vasseur,A. and Makovicka,L. and Martin,E. and Sauget,M. and Contassot-Vivier,S. and Bahi,J. M.},
+ title = {Dose calculations using artificial neural networks: a feasibility study for photon beams},
+ journal = {Nucl. Instr. and Meth. in Phys. Res. B},
+ year = {2008},
+ volume = {266},
+ number = {7},
+ pages = {1085-1093}
+}
+
+
+@inproceedings{ICANN10,
+ editor = {Konstantinos Diamantaras and Wlodek Duch and Lazaros
+S. Iliadis},
+ booktitle = {Artificial Neural Networks -- ICANN 2010},
+ publisher = {Springer},
+ location = {Heidelberg},
+ series = {Lecture Notes in Computer Science},
+ volume = 6352,
+ year = 2010,
+ isbn = {978-3-642-15818-6},
+ author = {M. Sauget and R. Laurent and J. Henriet
+and M. Salomon and R. Gschwind and S. Contassot-Vivier and L. Makovicka and C. Soussen},
+ title = {Efficient Domain Decomposition for a Neural Network
+Learning Algorithm, Used for the Dose Evaluation in External
+Radiotherapy},
+ pages = {261--266}
+}
+
+
+@Misc{BEAM,
+ author = {BEAM-nrc},
+ title = {{NRC} of {C}anada},
+ howpublished = { \\ {\tt http://www.irs.inms.nrc.ca/BEAM/beamhome.html}}
+}
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+% here ends figure;
+pagefooter
+showpage
+%%Trailer
+%EOF
--- /dev/null
+#FIG 3.2 Produced by xfig version 3.2.5b
+Landscape
+Center
+Metric
+A4
+100.00
+Single
+-2
+1200 2
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+ 1170 3420 1800 3420 1800 4005 1170 4005 1170 3420
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+-6
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+4 0 0 50 -1 0 20 0.0000 4 225 315 2497 3825 W\001
+-6
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+ 4500 3420 5130 3420 5130 4005 4500 4005 4500 3420
+4 0 0 50 -1 0 20 0.0000 4 225 315 4657 3825 W\001
+-6
+-6
+# Array of disks
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+6 3786 1595 4481 2377
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+ 3873 1769 4395 1769 4395 2203 3873 2203 3873 1769
+-6
+6 3959 1421 4655 2203
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+1 2 0 1 7 7 63 -1 20 0.000 1 0.0000 4307 2029 261 86 4047 2029 4569 2029
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+ 4047 1595 4569 1595 4569 2029 4047 2029 4047 1595
+-6
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+1 2 0 1 0 7 70 -1 20 0.000 1 0.0000 4481 1421 261 86 4221 1421 4742 1421
+1 2 0 1 7 7 73 -1 20 0.000 1 0.0000 4481 1855 261 86 4221 1855 4742 1855
+2 1 0 1 0 7 70 -1 -1 0.000 0 0 -1 0 0 2
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+ 4221 1421 4742 1421 4742 1855 4221 1855 4221 1421
+-6
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+1 2 0 1 0 7 80 -1 20 0.000 1 0.0000 4655 1247 261 86 4395 1247 4916 1247
+1 2 0 1 7 7 83 -1 20 0.000 1 0.0000 4655 1681 261 86 4395 1681 4916 1681
+2 1 0 1 0 7 80 -1 -1 0.000 0 0 -1 0 0 2
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+2 2 0 1 7 7 85 -1 20 0.000 0 0 -1 0 0 5
+ 4395 1247 4916 1247 4916 1681 4395 1681 4395 1247
+-6
+-6
+# Primergy server
+# Drawn by Ernst Pisch
+6 1260 855 2654 2430
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1449.800 1744.000 1401 1724 1401 1764 1441 1796
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1551.900 1761.500 1504 1741 1504 1782 1544 1813
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1654.512 1779.000 1607 1759 1607 1799 1647 1830
+5 1 0 0 -1 7 100 0 -1 0.000 0 1 0 0 1757.512 1790.000 1710 1770 1710 1810 1750 1841
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1448.900 1858.500 1401 1838 1401 1879 1441 1910
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1449.800 1979.000 1401 1959 1401 1999 1441 2031
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1448.900 2099.500 1401 2079 1401 2120 1441 2151
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1551.512 1876.000 1504 1856 1504 1896 1544 1927
+5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 1655.800 1893.000 1607 1873 1607 1913 1647 1945
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+ 8 8 L 8 0 L 0 0 L fill}
+>> matrix makepattern
+/Pat3 exch def
+<< Tile8x8
+ /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
+ 0 12 M 12 0 L stroke}
+>> matrix makepattern
+/Pat4 exch def
+<< Tile8x8
+ /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
+ 0 -4 M 12 8 L stroke}
+>> matrix makepattern
+/Pat5 exch def
+<< Tile8x8
+ /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
+ 0 12 M 8 -4 L 4 12 M 10 0 L stroke}
+>> matrix makepattern
+/Pat6 exch def
+<< Tile8x8
+ /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
+ 0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
+>> matrix makepattern
+/Pat7 exch def
+<< Tile8x8
+ /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
+ 12 0 M -4 8 L 12 4 M 0 10 L stroke}
+>> matrix makepattern
+/Pat8 exch def
+<< Tile8x8
+ /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
+ -4 0 M 12 8 L -4 4 M 8 10 L stroke}
+>> matrix makepattern
+/Pat9 exch def
+/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
+/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
+/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
+/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
+/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
+/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
+/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
+} def
+%
+%
+%End of PostScript Level 2 code
+%
+/PatternBgnd {
+ TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
+} def
+%
+% Substitute for Level 2 pattern fill codes with
+% grayscale if Level 2 support is not selected.
+%
+/Level1PatternFill {
+/Pattern1 {0.250 Density} bind def
+/Pattern2 {0.500 Density} bind def
+/Pattern3 {0.750 Density} bind def
+/Pattern4 {0.125 Density} bind def
+/Pattern5 {0.375 Density} bind def
+/Pattern6 {0.625 Density} bind def
+/Pattern7 {0.875 Density} bind def
+} def
+%
+% Now test for support of Level 2 code
+%
+Level1 {Level1PatternFill} {Level2PatternFill} ifelse
+%
+/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
+dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
+currentdict end definefont pop
+/MFshow {
+ { dup 5 get 3 ge
+ { 5 get 3 eq {gsave} {grestore} ifelse }
+ {dup dup 0 get findfont exch 1 get scalefont setfont
+ [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6
+ get exch 4 get {Gshow} {stringwidth pop 0 R} ifelse }if dup 5 get 0 eq
+ {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5
+ get 1 eq {dup 2 get exch dup 3 get exch 6 get stringwidth pop -2 div
+ dup 0 R} {dup 6 get stringwidth pop -2 div 0 R 6 get
+ show 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop
+ pop aload pop M} ifelse }ifelse }ifelse }
+ ifelse }
+ forall} def
+/Gswidth {dup type /stringtype eq {stringwidth} {pop (n) stringwidth} ifelse} def
+/MFwidth {0 exch { dup 5 get 3 ge { 5 get 3 eq { 0 } { pop } ifelse }
+ {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont
+ 6 get Gswidth pop add} {pop} ifelse} ifelse} forall} def
+/MLshow { currentpoint stroke M
+ 0 exch R
+ Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def
+/MRshow { currentpoint stroke M
+ exch dup MFwidth neg 3 -1 roll R
+ Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def
+/MCshow { currentpoint stroke M
+ exch dup MFwidth -2 div 3 -1 roll R
+ Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def
+/XYsave { [( ) 1 2 true false 3 ()] } bind def
+/XYrestore { [( ) 1 2 true false 4 ()] } bind def
+end
+%%EndProlog
+gnudict begin
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+doclip
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+0 setgray
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+\begin{document}
+
+\title{Gridification of a Radiotherapy Dose Computation Application with the XtremWeb-CH Environment}
+
+\author{Nabil Abdennhader\inst{1} \and Raphaël Couturier\inst{1} \and
+ Julien Henriet\inst{2} \and David Laiymani\inst{1} \and Sébastien Miquée\inst{1}
+ \and Marc Sauget\inst{2}}
+
+\institute{Laboratoire d'Informatique de l'universit\'{e}
+ de Franche-Comt\'{e} \\
+ IUT Belfort-Montbéliard, Rue Engel Gros, 90016 Belfort - France \\
+\email{raphael.couturier, david.laiymani, sebastien.miquee@univ-fcomte.fr}
+\and
+ FEMTO-ST, ENISYS/IRMA, F-25210 Montb\'{e}liard , FRANCE\\
+}
+%\email{\texttt{[delfabbro,laiymani,nicod,philippe]@lifc.univ-fcomte.fr}}}
+
+
+\maketitle
+
+\begin{abstract}
+
+\end{abstract}
+
+%-------------INTRODUCTION--------------------
+\section{Introduction}
+
+The use of distributed architectures for solving large scientific problems seems
+to become mandatory in a lot of cases. For example, in the domain of
+radiotherapy dose computation the problem is crucial. The main goal of external
+beam radiotherapy is the treatment of tumours while minimizing exposure to
+healthy tissue. Dosimetric planning has to be carried out in order to optimize
+the dose distribution within the patient is necessary. Thus, for determining the
+most accurate dose distribution during treatment planning, a compromise must be
+found between the precision and the speed of calculation. Current techniques,
+using analytic methods, models and databases, are rapid but lack
+precision. Enhanced precision can be achieved by using calculation codes based,
+for example, on Monte Carlo methods. In [] the authors proposed a novel approach
+based on the use of neural networks. The approach is based on the collaboration
+of computation codes and multi-layer neural networks used as universal
+approximators. It provides a fast and accurate evaluation of radiation doses in
+any given environment for given irradiation parameters. As the learning step is
+often very time consumming, in \cite{bcvsv08:ip} the authors proposed a parallel
+algorithm that enable to decompose the learning domain into subdomains. The
+decomposition has the advantage to significantly reduce the complexity of the
+target functions to approximate.
+
+Now, as there exist several classes of distributed/parallel architectures
+(supercomputers, clusters, global computing...) we have to choose the best
+suited one for the parallel Neurad application. The Global or Volunteer
+computing model seems to be an interesting approach. Here, the computing power
+is obtained by agregating unused (or volunteer) public resources connected to
+the Internet. For our case, we can imagine for example, that a part of the
+architecture will be composed of some of the different computers of the
+hospital. This approach present the advantage to be clearly cheaper than a more
+dedicated approach like the use of supercomputer or clusters.
+
+The aim of this paper is to propose and evaluate a gridification of the Neurad
+application (more precisely, of the most time consuming part, the learning step)
+using a Global computing approach. For this, we focus on the XtremWeb-CH
+environnement []. We choose this environnent because it tackles the centralized
+aspect of other global computing environments such as XTremWeb [] or Seti []. It
+tends to a peer-to-peer approach by distributing some components of the
+architecture. For instance, the computing nodes are allowed to directly
+communicate. Experimentations were conducted on a real Global Computing
+testbed. The results are very encouraging. They exhibit an interesting speed-up
+and show that the overhead induced by the use of XTremWeb-CH is very acceptable.
+
+The paper is organized as follows. In section 2 we present the Neurad
+application and particularly it most time consuming part i.e. the learning
+step. Section 3 details the XtremWeb-CH environnement while in section 4 we
+expose the gridification of the Neurad application. Experimental results are
+presented in section 5 and we end in section 6 by some concluding remarks and
+perspectives.
+
+\section{The Neurad application}
+
+\begin{figure}[h]
+ \centering
+ \includegraphics[width=0.5\columnwidth]{figures/overlap.pdf}
+ \caption{Overlapping for a sub-network in a two-dimensional domain with ratio
+ $\alpha$.}
+ \label{fig:overlap}
+\end{figure}
+
+The \emph{Neurad}~\cite{Neurad} project presented in this paper takes place in a
+multi-disciplinary project , involving medical physicists and computer
+scientists whose goal is to enhance the treatment planning of cancerous tumors
+by external radiotherapy. In our previous
+works~\cite{RADIO09,ICANN10,NIMB2008}, we have proposed an original approach to
+solve scientific problems whose accurate modeling and/or analytical description
+are difficult. That method is based on the collaboration of computational codes
+and neural networks used as universal interpolator. Thanks to that method, the
+\emph{Neurad} software provides a fast and accurate evaluation of radiation
+doses in any given environment (possibly inhomogeneous) for given irradiation
+parameters. We have shown in a previous work (\cite{AES2009}) the interest to
+use a distributed algorithm for the neural network learning.
+
+%We use a classical
+%RPROP algorithm with a HPU topology to do the training of our neural network.
+
+In addition to the possibility to design a simple and efficient parallel
+algorithm, the domain decomposition presents another important advantage in the
+context of neural learning. It significantly reduces the complexity of the
+target functions to approximate. Indeed, it is much easier to approximate a
+function on a small interval than on a large one, especially if it contains
+sharp variations. Thus, a better accuracy can even be expected on each
+sub-domain.
+
+However, performing the learnings on sub-domains constituting a partition of the
+initial domain is not satisfying according to the quality of the results. This
+comes from the fact that the accuracy of the approximation performed by a neural
+network is not constant over the learned domain. Thus, it is necessary to use
+an overlapping of the sub-domains. The overall principle is depicted in
+Figure~\ref{fig:overlap}. In this way, each sub-network has an exploitation
+domain smaller than its training domain and the differences observed at the
+borders are no longer relevant. Nonetheless, in order to preserve the
+performances of the parallel algorithm, it is important to carefully set the
+overlapping ratio $\alpha$. It must be large enough to avoid the border's
+errors, and as small as possible to limit the size increase of the data subsets.
+
+
+
+%% Je ne pense que cette partie soit nécessaire. Il faudrait essayer de %détailler la partie apprentissage d'un point de vue données en entrée et %données en sorties. Puis décomposition de ces données pour la parallélisation.
+\subsection{Data description}
+
+
+In the context of external radiotherapy, an essential parameter is the width of
+the beam. The radiation result is directly dependant of this parameter. Indeed,
+if the beam has a small width, it cannot reach the electronic balance and does
+not present a tray as large as could be seen in Figure~\ref{f_tray} representing
+the classical behavior for a deposit curve.
+
+\begin{figure}[http]
+ \centering
+ \includegraphics[width=0.7\columnwidth]{figures/testC.pdf}
+ \caption{Dose deposit by a photon beam of 24 mm of width in water (Normalised value). }
+ \label{f_tray}
+\end{figure}
+
+The evolution of the behaviour of the energy deposit during an irradiation is
+shown in Figure~\ref{f_beam} which represents the energy deposit at different
+depths for different widths of beam. The main characteristics of a dose deposit
+curve are the regularity of the central part followed by the sharpness of the
+beam sides. The main constraint in the scope of our work is the limited
+tolerance about the final learning error.
+
+\begin{figure}[http]
+ \centering
+ \includegraphics[width=0.45\columnwidth]{figures/eau_02_to_24.pdf}
+ \includegraphics[width=0.45\columnwidth]{figures/ta6v4_02_to_24.pdf}
+ \caption{Dose deposits at the depth of 60 mm in water phantom and in ta6v4
+ (titanium) (Normalised value)}
+ \label{f_beam}
+\end{figure}
+
+Indeed, the neural network described here represents one tool in a very complex
+chain of treatment for the global evaluation of the dose deposit in complex
+environments. The use of the neural network is central in our overall project
+and a too large error at this stage could imply that our final solution may be
+out of the medical error tolerance.
+
+
+
+\section{The XtremWeb-CH environment}
+
+
+
+\section{Neurad gridification with XTremWeb-CH}
+
+%The Neurad application can be divided into three parts. The first one
+%aims at dividing data representing dose distribution on an area. This
+%area contains various parameters, like the density of the medium and
+%its nature. Multiple ``views'' can be superposed in order to obtain a
+%more accurate learning.
+
+As exposed before, we only focus in these works on the most time consuming part of Neurad i.e. the neural learning part.
+These computations fit well with the model of the middleware -- all learning tasks execute in
+parallel independently with their own local data part, with no
+communication, following the fork-join model.
+
+As described on Figure
+\ref{fig:neurad_grid}, we first send the learning application and data
+to the middleware (more precisely on warehouses (DW)) and create the
+computation module. When a worker (W) is ready to compute, it requests
+a task to execute to the coordinator (Coord.). This latter assigns it
+a task. The worker retrieves the application and its assigned data,
+and can start the computation. At the end of the learning process, it
+sends the result, a weighted neural network which will be used in a
+dose distribution process, to a warehouse. The last step of the
+application is to retrieve these results and exploit them.
+
+
+\begin{figure}[ht]
+ \centering
+ \includegraphics[width=7cm]{figures/neurad_gridif}
+ \caption{Neurad gridification}
+ \label{fig:neurad_grid}
+\end{figure}
+
+
+\section{Experimental results}
+
+
+
+\section{Conclusion and future works}
+
+
+
+\bibliographystyle{plain}
+\bibliography{biblio}
+
+
+
+\end{document}
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+\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}\r
+\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}\r
+\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}\r
+\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}\r
+\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}\r
+\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}\r
+\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}\r
+\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}\r
+\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}\r
+\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}\r
+\r
+\let\footnotesize\small\r
+\r
+\if@custvec\r
+\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}}\r
+{\mbox{\boldmath$\textstyle#1$}}\r
+{\mbox{\boldmath$\scriptstyle#1$}}\r
+{\mbox{\boldmath$\scriptscriptstyle#1$}}}\r
+\fi\r
+\r
+\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}}\r
+\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil\r
+\penalty50\hskip1em\null\nobreak\hfil\squareforqed\r
+\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}\r
+\r
+\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip\r
+\halign{\hfil\r
+$\displaystyle##$\hfil\cr\gets\cr\to\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets\r
+\cr\to\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets\r
+\cr\to\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+\gets\cr\to\cr}}}}}\r
+\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil\r
+$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr\r
+\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr\r
+\noalign{\vskip1pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+<\cr\r
+\noalign{\vskip0.9pt}=\cr}}}}}\r
+\def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil\r
+$\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr\r
+\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr\r
+\noalign{\vskip1pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+>\cr\r
+\noalign{\vskip0.9pt}=\cr}}}}}\r
+\def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip\r
+\halign{\hfil\r
+$\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\r
+>\cr\noalign{\vskip-1pt}<\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\r
+>\cr\noalign{\vskip-0.8pt}<\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+>\cr\noalign{\vskip-0.3pt}<\cr}}}}}\r
+\def\bbbr{{\rm I\!R}} %reelle Zahlen\r
+\def\bbbm{{\rm I\!M}}\r
+\def\bbbn{{\rm I\!N}} %natuerliche Zahlen\r
+\def\bbbf{{\rm I\!F}}\r
+\def\bbbh{{\rm I\!H}}\r
+\def\bbbk{{\rm I\!K}}\r
+\def\bbbp{{\rm I\!P}}\r
+\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}\r
+{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}\r
+\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}\r
+\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm\r
+Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}\r
+\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm\r
+T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox\r
+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox\r
+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox\r
+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}\r
+\def\bbbs{{\mathchoice\r
+{\setbox0=\hbox{$\displaystyle \rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox\r
+to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle \rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox\r
+to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle \rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox\r
+to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox\r
+to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}\r
+\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}\r
+{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}\r
+{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}}\r
+{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}}\r
+\r
+\let\ts\,\r
+\r
+\setlength\leftmargini {17\p@}\r
+\setlength\leftmargin {\leftmargini}\r
+\setlength\leftmarginii {\leftmargini}\r
+\setlength\leftmarginiii {\leftmargini}\r
+\setlength\leftmarginiv {\leftmargini}\r
+\setlength \labelsep {.5em}\r
+\setlength \labelwidth{\leftmargini}\r
+\addtolength\labelwidth{-\labelsep}\r
+\r
+\def\@listI{\leftmargin\leftmargini\r
+ \parsep 0\p@ \@plus1\p@ \@minus\p@\r
+ \topsep 8\p@ \@plus2\p@ \@minus4\p@\r
+ \itemsep0\p@}\r
+\let\@listi\@listI\r
+\@listi\r
+\def\@listii {\leftmargin\leftmarginii\r
+ \labelwidth\leftmarginii\r
+ \advance\labelwidth-\labelsep\r
+ \topsep 0\p@ \@plus2\p@ \@minus\p@}\r
+\def\@listiii{\leftmargin\leftmarginiii\r
+ \labelwidth\leftmarginiii\r
+ \advance\labelwidth-\labelsep\r
+ \topsep 0\p@ \@plus\p@\@minus\p@\r
+ \parsep \z@\r
+ \partopsep \p@ \@plus\z@ \@minus\p@}\r
+\r
+\renewcommand\labelitemi{\normalfont\bfseries --}\r
+\renewcommand\labelitemii{$\m@th\bullet$}\r
+\r
+\setlength\arraycolsep{1.4\p@}\r
+\setlength\tabcolsep{1.4\p@}\r
+\r
+\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}%\r
+ {{\contentsname}}}\r
+ \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}}\r
+ \def\lastand{\ifnum\value{auco}=2\relax\r
+ \unskip{} \andname\\r
+ \else\r
+ \unskip \lastandname\\r
+ \fi}%\r
+ \def\and{\stepcounter{@auth}\relax\r
+ \ifnum\value{@auth}=\value{auco}%\r
+ \lastand\r
+ \else\r
+ \unskip,\r
+ \fi}%\r
+ \@starttoc{toc}\if@restonecol\twocolumn\fi}\r
+\r
+\def\l@part#1#2{\addpenalty{\@secpenalty}%\r
+ \addvspace{2em plus\p@}% % space above part line\r
+ \begingroup\r
+ \parindent \z@\r
+ \rightskip \z@ plus 5em\r
+ \hrule\vskip5pt\r
+ \large % same size as for a contribution heading\r
+ \bfseries\boldmath % set line in boldface\r
+ \leavevmode % TeX command to enter horizontal mode.\r
+ #1\par\r
+ \vskip5pt\r
+ \hrule\r
+ \vskip1pt\r
+ \nobreak % Never break after part entry\r
+ \endgroup}\r
+\r
+\def\@dotsep{2}\r
+\r
+\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else\r
+{chapter.\thechapter}\fi}\r
+\r
+\def\addnumcontentsmark#1#2#3{%\r
+\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline\r
+ {\thechapter}#3}{\thepage}\hyperhrefextend}}\r
+\def\addcontentsmark#1#2#3{%\r
+\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}}\r
+\def\addcontentsmarkwop#1#2#3{%\r
+\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}}\r
+\r
+\def\@adcmk[#1]{\ifcase #1 \or\r
+\def\@gtempa{\addnumcontentsmark}%\r
+ \or \def\@gtempa{\addcontentsmark}%\r
+ \or \def\@gtempa{\addcontentsmarkwop}%\r
+ \fi\@gtempa{toc}{chapter}}\r
+\def\addtocmark{\@ifnextchar[{\@adcmk}{\@adcmk[3]}}\r
+\r
+\def\l@chapter#1#2{\addpenalty{-\@highpenalty}\r
+ \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup\r
+ \parindent \z@ \rightskip \@tocrmarg\r
+ \advance\rightskip by 0pt plus 2cm\r
+ \parfillskip -\rightskip \pretolerance=10000\r
+ \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip\r
+ {\large\bfseries\boldmath#1}\ifx0#2\hfil\null\r
+ \else\r
+ \nobreak\r
+ \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern\r
+ \@dotsep mu$}\hfill\r
+ \nobreak\hbox to\@pnumwidth{\hss #2}%\r
+ \fi\par\r
+ \penalty\@highpenalty \endgroup}\r
+\r
+\def\l@title#1#2{\addpenalty{-\@highpenalty}\r
+ \addvspace{8pt plus 1pt}\r
+ \@tempdima \z@\r
+ \begingroup\r
+ \parindent \z@ \rightskip \@tocrmarg\r
+ \advance\rightskip by 0pt plus 2cm\r
+ \parfillskip -\rightskip \pretolerance=10000\r
+ \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip\r
+ #1\nobreak\r
+ \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern\r
+ \@dotsep mu$}\hfill\r
+ \nobreak\hbox to\@pnumwidth{\hss #2}\par\r
+ \penalty\@highpenalty \endgroup}\r
+\r
+\def\l@author#1#2{\addpenalty{\@highpenalty}\r
+ \@tempdima=15\p@ %\z@\r
+ \begingroup\r
+ \parindent \z@ \rightskip \@tocrmarg\r
+ \advance\rightskip by 0pt plus 2cm\r
+ \pretolerance=10000\r
+ \leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip\r
+ \textit{#1}\par\r
+ \penalty\@highpenalty \endgroup}\r
+\r
+\setcounter{tocdepth}{0}\r
+\newdimen\tocchpnum\r
+\newdimen\tocsecnum\r
+\newdimen\tocsectotal\r
+\newdimen\tocsubsecnum\r
+\newdimen\tocsubsectotal\r
+\newdimen\tocsubsubsecnum\r
+\newdimen\tocsubsubsectotal\r
+\newdimen\tocparanum\r
+\newdimen\tocparatotal\r
+\newdimen\tocsubparanum\r
+\tocchpnum=\z@ % no chapter numbers\r
+\tocsecnum=15\p@ % section 88. plus 2.222pt\r
+\tocsubsecnum=23\p@ % subsection 88.8 plus 2.222pt\r
+\tocsubsubsecnum=27\p@ % subsubsection 88.8.8 plus 1.444pt\r
+\tocparanum=35\p@ % paragraph 88.8.8.8 plus 1.666pt\r
+\tocsubparanum=43\p@ % subparagraph 88.8.8.8.8 plus 1.888pt\r
+\def\calctocindent{%\r
+\tocsectotal=\tocchpnum\r
+\advance\tocsectotal by\tocsecnum\r
+\tocsubsectotal=\tocsectotal\r
+\advance\tocsubsectotal by\tocsubsecnum\r
+\tocsubsubsectotal=\tocsubsectotal\r
+\advance\tocsubsubsectotal by\tocsubsubsecnum\r
+\tocparatotal=\tocsubsubsectotal\r
+\advance\tocparatotal by\tocparanum}\r
+\calctocindent\r
+\r
+\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}}\r
+\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}}\r
+\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}}\r
+\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}}\r
+\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}}\r
+\r
+\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn\r
+ \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}}\r
+ \@starttoc{lof}\if@restonecol\twocolumn\fi}\r
+\def\l@figure{\@dottedtocline{1}{0em}{1.5em}}\r
+\r
+\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn\r
+ \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}}\r
+ \@starttoc{lot}\if@restonecol\twocolumn\fi}\r
+\let\l@table\l@figure\r
+\r
+\renewcommand\listoffigures{%\r
+ \section*{\listfigurename\r
+ \@mkboth{\listfigurename}{\listfigurename}}%\r
+ \@starttoc{lof}%\r
+ }\r
+\r
+\renewcommand\listoftables{%\r
+ \section*{\listtablename\r
+ \@mkboth{\listtablename}{\listtablename}}%\r
+ \@starttoc{lot}%\r
+ }\r
+\r
+\ifx\oribibl\undefined\r
+\ifx\citeauthoryear\undefined\r
+\renewenvironment{thebibliography}[1]\r
+ {\section*{\refname}\r
+ \def\@biblabel##1{##1.}\r
+ \small\r
+ \list{\@biblabel{\@arabic\c@enumiv}}%\r
+ {\settowidth\labelwidth{\@biblabel{#1}}%\r
+ \leftmargin\labelwidth\r
+ \advance\leftmargin\labelsep\r
+ \if@openbib\r
+ \advance\leftmargin\bibindent\r
+ \itemindent -\bibindent\r
+ \listparindent \itemindent\r
+ \parsep \z@\r
+ \fi\r
+ \usecounter{enumiv}%\r
+ \let\p@enumiv\@empty\r
+ \renewcommand\theenumiv{\@arabic\c@enumiv}}%\r
+ \if@openbib\r
+ \renewcommand\newblock{\par}%\r
+ \else\r
+ \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%\r
+ \fi\r
+ \sloppy\clubpenalty4000\widowpenalty4000%\r
+ \sfcode`\.=\@m}\r
+ {\def\@noitemerr\r
+ {\@latex@warning{Empty `thebibliography' environment}}%\r
+ \endlist}\r
+\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw\r
+ {\let\protect\noexpand\immediate\r
+ \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}\r
+\newcount\@tempcntc\r
+\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi\r
+ \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do\r
+ {\@ifundefined\r
+ {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries\r
+ ?}\@warning\r
+ {Citation `\@citeb' on page \thepage \space undefined}}%\r
+ {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%\r
+ \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne\r
+ \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}%\r
+ \else\r
+ \advance\@tempcntb\@ne\r
+ \ifnum\@tempcntb=\@tempcntc\r
+ \else\advance\@tempcntb\m@ne\@citeo\r
+ \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}\r
+\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else\r
+ \@citea\def\@citea{,\,\hskip\z@skip}%\r
+ \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else\r
+ {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else\r
+ \def\@citea{--}\fi\r
+ \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}\r
+\else\r
+\renewenvironment{thebibliography}[1]\r
+ {\section*{\refname}\r
+ \small\r
+ \list{}%\r
+ {\settowidth\labelwidth{}%\r
+ \leftmargin\parindent\r
+ \itemindent=-\parindent\r
+ \labelsep=\z@\r
+ \if@openbib\r
+ \advance\leftmargin\bibindent\r
+ \itemindent -\bibindent\r
+ \listparindent \itemindent\r
+ \parsep \z@\r
+ \fi\r
+ \usecounter{enumiv}%\r
+ \let\p@enumiv\@empty\r
+ \renewcommand\theenumiv{}}%\r
+ \if@openbib\r
+ \renewcommand\newblock{\par}%\r
+ \else\r
+ \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%\r
+ \fi\r
+ \sloppy\clubpenalty4000\widowpenalty4000%\r
+ \sfcode`\.=\@m}\r
+ {\def\@noitemerr\r
+ {\@latex@warning{Empty `thebibliography' environment}}%\r
+ \endlist}\r
+ \def\@cite#1{#1}%\r
+ \def\@lbibitem[#1]#2{\item[]\if@filesw\r
+ {\def\protect##1{\string ##1\space}\immediate\r
+ \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}\r
+ \fi\r
+\else\r
+\@cons\@openbib@code{\noexpand\small}\r
+\fi\r
+\r
+\def\idxquad{\hskip 10\p@}% space that divides entry from number\r
+\r
+\def\@idxitem{\par\hangindent 10\p@}\r
+\r
+\def\subitem{\par\setbox0=\hbox{--\enspace}% second order\r
+ \noindent\hangindent\wd0\box0}% index entry\r
+\r
+\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third\r
+ \noindent\hangindent\wd0\box0}% order index entry\r
+\r
+\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}\r
+\r
+\renewenvironment{theindex}\r
+ {\@mkboth{\indexname}{\indexname}%\r
+ \thispagestyle{empty}\parindent\z@\r
+ \parskip\z@ \@plus .3\p@\relax\r
+ \let\item\par\r
+ \def\,{\relax\ifmmode\mskip\thinmuskip\r
+ \else\hskip0.2em\ignorespaces\fi}%\r
+ \normalfont\small\r
+ \begin{multicols}{2}[\@makeschapterhead{\indexname}]%\r
+ }\r
+ {\end{multicols}}\r
+\r
+\renewcommand\footnoterule{%\r
+ \kern-3\p@\r
+ \hrule\@width 2truecm\r
+ \kern2.6\p@}\r
+ \newdimen\fnindent\r
+ \fnindent1em\r
+\long\def\@makefntext#1{%\r
+ \parindent \fnindent%\r
+ \leftskip \fnindent%\r
+ \noindent\r
+ \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1}\r
+\r
+\long\def\@makecaption#1#2{%\r
+ \vskip\abovecaptionskip\r
+ \sbox\@tempboxa{{\bfseries #1.} #2}%\r
+ \ifdim \wd\@tempboxa >\hsize\r
+ {\bfseries #1.} #2\par\r
+ \else\r
+ \global \@minipagefalse\r
+ \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%\r
+ \fi\r
+ \vskip\belowcaptionskip}\r
+\r
+\def\fps@figure{htbp}\r
+\def\fnum@figure{\figurename\thinspace\thefigure}\r
+\def \@floatboxreset {%\r
+ \reset@font\r
+ \small\r
+ \@setnobreak\r
+ \@setminipage\r
+}\r
+\def\fps@table{htbp}\r
+\def\fnum@table{\tablename~\thetable}\r
+\renewenvironment{table}\r
+ {\setlength\abovecaptionskip{0\p@}%\r
+ \setlength\belowcaptionskip{10\p@}%\r
+ \@float{table}}\r
+ {\end@float}\r
+\renewenvironment{table*}\r
+ {\setlength\abovecaptionskip{0\p@}%\r
+ \setlength\belowcaptionskip{10\p@}%\r
+ \@dblfloat{table}}\r
+ {\end@dblfloat}\r
+\r
+\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname\r
+ ext@#1\endcsname}{#1}{\protect\numberline{\csname\r
+ the#1\endcsname}{\ignorespaces #2}}\begingroup\r
+ \@parboxrestore\r
+ \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par\r
+ \endgroup}\r
+\r
+% LaTeX does not provide a command to enter the authors institute\r
+% addresses. The \institute command is defined here.\r
+\r
+\newcounter{@inst}\r
+\newcounter{@auth}\r
+\newcounter{auco}\r
+\newdimen\instindent\r
+\newbox\authrun\r
+\newtoks\authorrunning\r
+\newtoks\tocauthor\r
+\newbox\titrun\r
+\newtoks\titlerunning\r
+\newtoks\toctitle\r
+\r
+\def\clearheadinfo{\gdef\@author{No Author Given}%\r
+ \gdef\@title{No Title Given}%\r
+ \gdef\@subtitle{}%\r
+ \gdef\@institute{No Institute Given}%\r
+ \gdef\@thanks{}%\r
+ \global\titlerunning={}\global\authorrunning={}%\r
+ \global\toctitle={}\global\tocauthor={}}\r
+\r
+\def\institute#1{\gdef\@institute{#1}}\r
+\r
+\def\institutename{\par\r
+ \begingroup\r
+ \parskip=\z@\r
+ \parindent=\z@\r
+ \setcounter{@inst}{1}%\r
+ \def\and{\par\stepcounter{@inst}%\r
+ \noindent$^{\the@inst}$\enspace\ignorespaces}%\r
+ \setbox0=\vbox{\def\thanks##1{}\@institute}%\r
+ \ifnum\c@@inst=1\relax\r
+ \gdef\fnnstart{0}%\r
+ \else\r
+ \xdef\fnnstart{\c@@inst}%\r
+ \setcounter{@inst}{1}%\r
+ \noindent$^{\the@inst}$\enspace\r
+ \fi\r
+ \ignorespaces\r
+ \@institute\par\r
+ \endgroup}\r
+\r
+\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or\r
+ {\star\star\star}\or \dagger\or \ddagger\or\r
+ \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger\r
+ \or \ddagger\ddagger \else\@ctrerr\fi}}\r
+\r
+\def\inst#1{\unskip$^{#1}$}\r
+\def\fnmsep{\unskip$^,$}\r
+\def\email#1{{\tt#1}}\r
+\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}%\r
+\@ifpackageloaded{babel}{%\r
+\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}%\r
+\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}%\r
+\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}%\r
+}{\switcht@@therlang}%\r
+}\r
+\def\homedir{\~{ }}\r
+\r
+\def\subtitle#1{\gdef\@subtitle{#1}}\r
+\clearheadinfo\r
+%\r
+\renewcommand\maketitle{\newpage\r
+ \refstepcounter{chapter}%\r
+ \stepcounter{section}%\r
+ \setcounter{section}{0}%\r
+ \setcounter{subsection}{0}%\r
+ \setcounter{figure}{0}\r
+ \setcounter{table}{0}\r
+ \setcounter{equation}{0}\r
+ \setcounter{footnote}{0}%\r
+ \begingroup\r
+ \parindent=\z@\r
+ \renewcommand\thefootnote{\@fnsymbol\c@footnote}%\r
+ \if@twocolumn\r
+ \ifnum \col@number=\@ne\r
+ \@maketitle\r
+ \else\r
+ \twocolumn[\@maketitle]%\r
+ \fi\r
+ \else\r
+ \newpage\r
+ \global\@topnum\z@ % Prevents figures from going at top of page.\r
+ \@maketitle\r
+ \fi\r
+ \thispagestyle{empty}\@thanks\r
+%\r
+ \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}%\r
+ \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}%\r
+ \instindent=\hsize\r
+ \advance\instindent by-\headlineindent\r
+ \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else\r
+ \addcontentsline{toc}{title}{\the\toctitle}\fi\r
+ \if@runhead\r
+ \if!\the\titlerunning!\else\r
+ \edef\@title{\the\titlerunning}%\r
+ \fi\r
+ \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}%\r
+ \ifdim\wd\titrun>\instindent\r
+ \typeout{Title too long for running head. Please supply}%\r
+ \typeout{a shorter form with \string\titlerunning\space prior to\r
+ \string\maketitle}%\r
+ \global\setbox\titrun=\hbox{\small\rm\r
+ Title Suppressed Due to Excessive Length}%\r
+ \fi\r
+ \xdef\@title{\copy\titrun}%\r
+ \fi\r
+%\r
+ \if!\the\tocauthor!\relax\r
+ {\def\and{\noexpand\protect\noexpand\and}%\r
+ \protected@xdef\toc@uthor{\@author}}%\r
+ \else\r
+ \def\\{\noexpand\protect\noexpand\newline}%\r
+ \protected@xdef\scratch{\the\tocauthor}%\r
+ \protected@xdef\toc@uthor{\scratch}%\r
+ \fi\r
+ \addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}%\r
+ \addcontentsline{toc}{author}{\toc@uthor}%\r
+ \if@runhead\r
+ \if!\the\authorrunning!\r
+ \value{@inst}=\value{@auth}%\r
+ \setcounter{@auth}{1}%\r
+ \else\r
+ \edef\@author{\the\authorrunning}%\r
+ \fi\r
+ \global\setbox\authrun=\hbox{\small\unboldmath\@author\unskip}%\r
+ \ifdim\wd\authrun>\instindent\r
+ \typeout{Names of authors too long for running head. Please supply}%\r
+ \typeout{a shorter form with \string\authorrunning\space prior to\r
+ \string\maketitle}%\r
+ \global\setbox\authrun=\hbox{\small\rm\r
+ Authors Suppressed Due to Excessive Length}%\r
+ \fi\r
+ \xdef\@author{\copy\authrun}%\r
+ \markboth{\@author}{\@title}%\r
+ \fi\r
+ \endgroup\r
+ \setcounter{footnote}{\fnnstart}%\r
+ \clearheadinfo}\r
+%\r
+\def\@maketitle{\newpage\r
+ \markboth{}{}%\r
+ \def\lastand{\ifnum\value{@inst}=2\relax\r
+ \unskip{} \andname\\r
+ \else\r
+ \unskip \lastandname\\r
+ \fi}%\r
+ \def\and{\stepcounter{@auth}\relax\r
+ \ifnum\value{@auth}=\value{@inst}%\r
+ \lastand\r
+ \else\r
+ \unskip,\r
+ \fi}%\r
+ \begin{center}%\r
+ \let\newline\\\r
+ {\Large \bfseries\boldmath\r
+ \pretolerance=10000\r
+ \@title \par}\vskip .8cm\r
+\if!\@subtitle!\else {\large \bfseries\boldmath\r
+ \vskip -.65cm\r
+ \pretolerance=10000\r
+ \@subtitle \par}\vskip .8cm\fi\r
+ \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}%\r
+ \def\thanks##1{}\@author}%\r
+ \global\value{@inst}=\value{@auth}%\r
+ \global\value{auco}=\value{@auth}%\r
+ \setcounter{@auth}{1}%\r
+{\lineskip .5em\r
+\noindent\ignorespaces\r
+\@author\vskip.35cm}\r
+ {\small\institutename}\r
+ \end{center}%\r
+ }\r
+\r
+% definition of the "\spnewtheorem" command.\r
+%\r
+% Usage:\r
+%\r
+% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font}\r
+% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font}\r
+% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font}\r
+%\r
+% New is "cap_font" and "body_font". It stands for\r
+% fontdefinition of the caption and the text itself.\r
+%\r
+% "\spnewtheorem*" gives a theorem without number.\r
+%\r
+% A defined spnewthoerem environment is used as described\r
+% by Lamport.\r
+%\r
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\r
+\r
+\def\@thmcountersep{}\r
+\def\@thmcounterend{.}\r
+\r
+\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}}\r
+\r
+% definition of \spnewtheorem with number\r
+\r
+\def\@spnthm#1#2{%\r
+ \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}}\r
+\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}}\r
+\r
+\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname\r
+ {\@definecounter{#1}\@addtoreset{#1}{#3}%\r
+ \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand\r
+ \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}%\r
+ \expandafter\xdef\csname #1name\endcsname{#2}%\r
+ \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%\r
+ \global\@namedef{end#1}{\@endtheorem}}}\r
+\r
+\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname\r
+ {\@definecounter{#1}%\r
+ \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%\r
+ \expandafter\xdef\csname #1name\endcsname{#2}%\r
+ \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}%\r
+ \global\@namedef{end#1}{\@endtheorem}}}\r
+\r
+\def\@spothm#1[#2]#3#4#5{%\r
+ \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}%\r
+ {\expandafter\@ifdefinable\csname #1\endcsname\r
+ {\global\@namedef{the#1}{\@nameuse{the#2}}%\r
+ \expandafter\xdef\csname #1name\endcsname{#3}%\r
+ \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}%\r
+ \global\@namedef{end#1}{\@endtheorem}}}}\r
+\r
+\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@\r
+\refstepcounter{#1}%\r
+\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}}\r
+\r
+\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}%\r
+ \ignorespaces}\r
+\r
+\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname\r
+ the#1\endcsname}{#5}{#3}{#4}\ignorespaces}\r
+\r
+\def\@spbegintheorem#1#2#3#4{\trivlist\r
+ \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4}\r
+\r
+\def\@spopargbegintheorem#1#2#3#4#5{\trivlist\r
+ \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5}\r
+\r
+% definition of \spnewtheorem* without number\r
+\r
+\def\@sthm#1#2{\@Ynthm{#1}{#2}}\r
+\r
+\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname\r
+ {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}%\r
+ \expandafter\xdef\csname #1name\endcsname{#2}%\r
+ \global\@namedef{end#1}{\@endtheorem}}}\r
+\r
+\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@\r
+\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}}\r
+\r
+\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces}\r
+\r
+\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1}\r
+ {#4}{#2}{#3}\ignorespaces}\r
+\r
+\def\@Begintheorem#1#2#3{#3\trivlist\r
+ \item[\hskip\labelsep{#2#1\@thmcounterend}]}\r
+\r
+\def\@Opargbegintheorem#1#2#3#4{#4\trivlist\r
+ \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }}\r
+\r
+\if@envcntsect\r
+ \def\@thmcountersep{.}\r
+ \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}\r
+\else\r
+ \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape}\r
+ \if@envcntreset\r
+ \@addtoreset{theorem}{section}\r
+ \else\r
+ \@addtoreset{theorem}{chapter}\r
+ \fi\r
+\fi\r
+\r
+%definition of divers theorem environments\r
+\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily}\r
+\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily}\r
+\if@envcntsame % alle Umgebungen wie Theorem.\r
+ \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}}\r
+\else % alle Umgebungen mit eigenem Zaehler\r
+ \if@envcntsect % mit section numeriert\r
+ \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}}\r
+ \else % nicht mit section numeriert\r
+ \if@envcntreset\r
+ \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}\r
+ \@addtoreset{#1}{section}}\r
+ \else\r
+ \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}\r
+ \@addtoreset{#1}{chapter}}%\r
+ \fi\r
+ \fi\r
+\fi\r
+\spn@wtheorem{case}{Case}{\itshape}{\rmfamily}\r
+\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}\r
+\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}\r
+\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape}\r
+\spn@wtheorem{example}{Example}{\itshape}{\rmfamily}\r
+\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily}\r
+\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape}\r
+\spn@wtheorem{note}{Note}{\itshape}{\rmfamily}\r
+\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily}\r
+\spn@wtheorem{property}{Property}{\itshape}{\rmfamily}\r
+\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape}\r
+\spn@wtheorem{question}{Question}{\itshape}{\rmfamily}\r
+\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily}\r
+\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily}\r
+\r
+\def\@takefromreset#1#2{%\r
+ \def\@tempa{#1}%\r
+ \let\@tempd\@elt\r
+ \def\@elt##1{%\r
+ \def\@tempb{##1}%\r
+ \ifx\@tempa\@tempb\else\r
+ \@addtoreset{##1}{#2}%\r
+ \fi}%\r
+ \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname\r
+ \expandafter\def\csname cl@#2\endcsname{}%\r
+ \@tempc\r
+ \let\@elt\@tempd}\r
+\r
+\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist\r
+ \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5}\r
+ \def\@Opargbegintheorem##1##2##3##4{##4\trivlist\r
+ \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}\r
+ }\r
+\r
+\renewenvironment{abstract}{%\r
+ \list{}{\advance\topsep by0.35cm\relax\small\r
+ \leftmargin=1cm\r
+ \labelwidth=\z@\r
+ \listparindent=\z@\r
+ \itemindent\listparindent\r
+ \rightmargin\leftmargin}\item[\hskip\labelsep\r
+ \bfseries\abstractname]}\r
+ {\endlist}\r
+\r
+\newdimen\headlineindent % dimension for space between\r
+\headlineindent=1.166cm % number and text of headings.\r
+\r
+\def\ps@headings{\let\@mkboth\@gobbletwo\r
+ \let\@oddfoot\@empty\let\@evenfoot\@empty\r
+ \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%\r
+ \leftmark\hfil}\r
+ \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}%\r
+ \llap{\thepage}}\r
+ \def\chaptermark##1{}%\r
+ \def\sectionmark##1{}%\r
+ \def\subsectionmark##1{}}\r
+\r
+\def\ps@titlepage{\let\@mkboth\@gobbletwo\r
+ \let\@oddfoot\@empty\let\@evenfoot\@empty\r
+ \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%\r
+ \hfil}\r
+ \def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}%\r
+ \llap{\thepage}}\r
+ \def\chaptermark##1{}%\r
+ \def\sectionmark##1{}%\r
+ \def\subsectionmark##1{}}\r
+\r
+\if@runhead\ps@headings\else\r
+\ps@empty\fi\r
+\r
+\setlength\arraycolsep{1.4\p@}\r
+\setlength\tabcolsep{1.4\p@}\r
+\r
+\endinput\r
+%end of file llncs.cls\r
\author{Raphaël Couturier, David Laiymani and Sébastien Miquée}
\authorrunning{R. Couturier, D. Laiymani and S. Miquée}
\institute{\vspace{-0.2cm}
- University of Franche-Comté \qquad LIFC laboratory\\%[1mm]
+ University of Franche-Comté \qquad LIFC laboratory\\
IUT Belfort-Montb\'eliard, 2 Rue Engel Gros \\ BP 27 90016 Belfort,
France\\\{{\tt
raphael.couturier,david.laiymani,sebastien.miquee}\}{\tt
(for \textit{Farhat Edges-Cuts}) showed an important performances
improvement by significantly reducing the application execution
time. These experiments were performed by using the fully fault
-tolerant JaceP2P-V2 environment, described in next section.
-%This Java based platform is an executing and developing
-%environment dedicated to the AIAC model. By implementing a distributed
-%backup/restore mechanism it is also fully fault
-%tolerant\cite{jaceP2P-v2}.
-In our previous experiments we did not introduce computing nodes
-failures during the computation. As architecture heterogeneity
-continually evolves according to computing nodes volatility, we have
-to take care more precisely about the heterogeneity of the target
-platform. Thus in this paper our main contribution is to propose a new
-mapping algorithm called MAHEVE (\textit{Mapping Algorithm for
- HEterogeneous and Volatile Environments}). This algorithm
-explicitly tackles the heterogeneity issue and introduces a level of
-dynamism in order to adapt itself to the fault tolerance
-mechanisms. Our experiments show gains up to $65\%$ on application
-execution time, with faults during executions, which is about 10
-points better than AIAC-QM and about 25 points better than F-EC, and
-MAHEVE also outperforms them in experiments with no fault during executions.
+tolerant JaceP2P-V2 environment, described in next section. In our
+previous experiments we did not introduce computing nodes failures
+during the computation. As architecture heterogeneity continually
+evolves according to computing nodes volatility, we have to take care
+more precisely about the heterogeneity of the target platform. Thus in
+this paper our main contribution is to propose a new mapping algorithm
+called MAHEVE (\textit{Mapping Algorithm for HEterogeneous and
+ Volatile Environments}). This algorithm explicitly tackles the
+heterogeneity issue and introduces a level of dynamism in order to
+adapt itself to the fault tolerance mechanisms. Our experiments show
+gains up to $65\%$ on application execution time, with faults during
+executions, which is about 10 points better than AIAC-QM and about 25
+points better than F-EC, and MAHEVE also outperforms them in
+experiments with no fault during executions.
The rest of this paper is organized as
\label{sec:pbmodelapp}
-%With the AIAC model, all tasks compute in parallel at the same time,
-%without precedence nor synchronization. During an iteration, each task
-%computes its job and sends its results to its neighbors, and
-%immediately starts the next iteration.
The TIG\cite{tig1} (\textit{Task Interaction Graph}) model is the most
appropriate to our problem, as it only models relationships between
tasks. In this model, all the tasks are considered simultaneously
