sem1305/interation1.tex

   1 \begin{itemize}
   2 \item
   3 $ u_{hi}^{(k+1)} = u_{hi}^{(k)} - \theta^{(k)}. \left(
   4  \eta_{hi}^{(k)} - \sum_{l \in L }a_{il}x_{hl}^{(k)} \right) $
   5 \item
   6 $v_{h}^{(k+1)}= \max\left\{0,v_{h}^{(k)} -  \theta^{(k)}.\left( R_h^{(k)} - \dfrac{\ln(\sigma^2/D_h)}{\gamma.(P_{sh}^{(k)})^{2/3}}   \right)\right\}$
   7 \item
   8   $\begin{array}{rcl}
   9    \lambda_{i}^{(k+1)} = \lambda_{i}^{(k)} - \theta^{(k)}&.&\left(
  10     q^{(k)}.B_i -
  11     \sum_{l \in L}a_{il}^{+}.c^s_l.\left( \sum_{h \in V}x_{hl}^{(k)} \right) \right.  \\
  12    && - \left. \sum_{l \in L} a_{il}^{-}.c^r.\left( \sum_{h \in V}x_{hl}^{(k)} \right) - P_{si}^{(k)}  \right)
  13 \end{array}
  14 $
  15
  16 \item
  17 $w_l^{(k+1)} = w_l^{(k+1)} +  \theta^{(k)}. \left( \sum_{i \in N} a_{il}.q_i^{(k)} \right)$
  18
  19
  20 \item
  21 $\theta^{(k)} = \omega / t^{1/2}$
  22 \end{itemize}
  23