Abstract
We introduce a genetic algorithm based MANET topology control mechanism to be used in decision making process of adaptive and autonomic systems at run time. A mobile node adapts its speed and direction using limited information collected from local neighbors operating in an unknown geographical terrain. We represent the genetic operators (i.e., selection, crossover and mutation) as a dynamical system model to describe the behavior of a single node’s decision mechanism. In this dynamical system model each mobile node is viewed as a stochastic variable. We build a homogeneous Markov chain to study the convergent nature of multiple mobile nodes running our algorithm, called FGA. Each state in our chain represents a configuration of the nodes in a MANET for a given instant. The homogeneous Markov chain model of our FGA is shown to be ergodic; its convergence is demonstrated using Dobrushin’s contraction coefficients. We also observe that the nodes with longer communication ranges utilize more information about their neighborhood to make better decisions, require less movement and converge faster, whereas smaller communication ranges utilize limited information, take more time to escape local optima, and, hence, consume more energy.
This research was initiated with support from collaborative participation in the Communications Networks Consortium sponsored by the U.S. Army Research Lab under the Collaborative Technology Alliance Program, Cooperative Agreement DAAD19-01-2-0011, the National Science Foundation grants ECS-0421159 and CNS-0619577 and US Army, Fort Monmouth, New Jersey, Army Communications-Electronics RD&E Center Grant W15P7T-09-CS021.
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Gundry, S., Zou, J., Urrea, E., Sahin, C.S., Kusyk, J., Uyar, M.U. (2012). Analysis of Emergent Behavior for GA-based Topology Control Mechanism for Self-Spreading Nodes in MANETs. In: Kołodziej, J., Khan, S., Burczy´nski, T. (eds) Advances in Intelligent Modelling and Simulation. Studies in Computational Intelligence, vol 422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30154-4_8
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