Mohamed Skander Daas1
and Salim Chikhi2
1MISC Lab, Department of Fundamental Computer Science and its Applications,
Abdelhamid Mehri Constantine
2 University, Constantine, Algeria
2MISC Lab, University of Abdelhamid Mehri - Constantine 2, Constantine, Algeria
ABSTRACT
Numerous studies have analyzed the performances of routing protocols in mobile Ad-hoc networks
(MANETs); most of these studies vary at most one or two parameters in experiments and do not study the
interactions among these parameters. Furthermore, efficient mathematical modeling of the performances
has not been investigated; such models can be useful for performance analysis, optimization, and
prediction. This study aims to show the effectiveness of the response surface methodology (RSM) on the
performance analysis of routing protocols in MANETs and establish a relationship between the influential
parameters and these performances through mathematical modeling. Given that routing performances
usually do not follow a linear pattern according to the parameters; mathematical models of factorial
designs are not suitable for establishing a valid and reliable relationship between performances and
parameters. Therefore, a Box–Behnken design, which is an RSM technique and provides quadratic
mathematical models, is used in this study to establish a relationship. The obtained models are statistically
analyzed; the models show that the studied performances accurately follow a quadratic evolution. These
models provide invaluable information and can be useful in analyzing, optimizing, and predicting
performances for mobile Ad-hoc routing protocols.
KEYWORDS
Response surface methodology, performance analysis, and modeling, routing protocols, mobile ad-hoc networks, design of experiments
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