From: raphael couturier Date: Tue, 14 Oct 2014 12:11:32 +0000 (+0200) Subject: corrections X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/Sensornets15.git/commitdiff_plain/c85ec6ad6701f39ea2cf8f521d146f09d45f7cfe corrections --- diff --git a/Example.tex b/Example.tex index ac05f6c..a7e85c3 100644 --- a/Example.tex +++ b/Example.tex @@ -412,7 +412,7 @@ $X_{13}=( p_x + R_s * (0), p_y + R_s * (\frac{-\sqrt{2}}{2})) $. \fi -\subsection{The main idea} +\subsection{Main idea} \label{main_idea} \noindent We start by applying a divide-and-conquer algorithm to partition the @@ -428,7 +428,7 @@ executed simultaneously in each subregion. As shown in Figure~\ref{fig2}, the proposed DiLCO protocol is a periodic protocol where each period is decomposed into 4~phases: Information Exchange, -Leader Election , Decision, and Sensing. For each period there will be exactly +Leader Election, Decision, and Sensing. For each period there will be exactly one cover set in charge of the sensing task. A periodic scheduling is interesting because it enhances the robustness of the network against node failures. First, a node that has not enough energy to complete a period, or @@ -567,7 +567,7 @@ sensor in the subregion and then describe it in more detail. \fi \end{algorithm} \iffalse -The DiLCO protocol work in rounds and executed at each sensor node in the network , each sensor node can still sense data while being in +The DiLCO protocol work in rounds and executed at each sensor node in the network, each sensor node can still sense data while being in LISTENING mode. Thus, by entering the LISTENING mode at the beginning of each round, sensor nodes still executing sensing task while participating in the leader election and decision phases. More specifically, The DiLCO protocol algorithm works as follow: Initially, the sensor node check it's remaining energy in order to participate in the current round. Each sensor node determines it's position and it's subregion based Embedded GPS or Location Discovery Algorithm. After that, All the sensors collect position coordinates, current remaining energy, sensor node id, and the number of its one-hop live neighbors during the information exchange. It stores this information into a list L. @@ -583,7 +583,7 @@ objective is to find a maximum number of disjoint cover sets. To accomplish this goal, the authors proposed an integer program which forces undercoverage and overcoverage of targets to become minimal at the same time. They use binary variables $x_{jl}$ to indicate if sensor $j$ belongs to cover set $l$. In our -model, we consider binary variable $X_{j}$ which determine the activation of +model, we consider that the binary variable $X_{j}$ determines the activation of sensor $j$ in the sensing phase. We also consider primary points as targets. The set of primary points is denoted by $P$ and the set of sensors by $J$. @@ -640,7 +640,7 @@ U_{p} = \left \{ %\label{c1} %\sum_{t \in T} X_{j,t} \leq \frac{RE_j}{e_t} &\forall j \in J \\ %\label{c2} -\Theta_{p}\in \mathbb{N} , &\forall p \in P\\ +\Theta_{p}\in \mathbb{N}, &\forall p \in P\\ U_{p} \in \{0,1\}, &\forall p \in P \\ X_{j} \in \{0,1\}, &\forall j \in J \end{array} @@ -775,7 +775,7 @@ symmetric communication costs), and we set their respective size to 112 and is equal to 0.2575 mW. Each node has an initial energy level, in Joules, which is randomly drawn in the -interval $[500-700]$. If it's energy provision reaches a value below the +interval $[500-700]$. If its energy provision reaches a value below the threshold $E_{th}=36$~Joules, the minimum energy needed for a node to stay active during one period, it will no more participate in the coverage task. This value corresponds to the energy needed by the sensing phase, obtained by @@ -842,7 +842,7 @@ Where: $A_r^t$ is the number of active sensors in the subregion $r$ during round where $M$ corresponds to the number of periods. The total energy consumed by the sensors (EC) comes through taking into consideration four main energy -factors. The first one , denoted $E^{\scriptsize \mbox{com}}_m$, represent the +factors. The first one, denoted $E^{\scriptsize \mbox{com}}_m$, represent the energy consumption spent by all the nodes for wireless communications during period $m$. $E^{\scriptsize \mbox{list}}_m$, the next factor, corresponds to the energy consumed by the sensors in LISTENING status before receiving the @@ -1075,9 +1075,10 @@ difficult, but will reduce the communication overhead. \fi \section*{\uppercase{Acknowledgements}} -\noindent As a Ph.D. student, Ali Kadhum IDREES would like to gratefully +\noindent As a Ph.D. student, Ali Kadhum IDREES would like to gratefully acknowledge the University of Babylon - IRAQ for the financial support and -Campus France for the received support. +Campus France for the received support. This paper is also partially funded by +the Labex ACTION program (contract ANR-11-LABX-01-01). %\vfill \bibliographystyle{apalike}