Convergence Time Analysis of Self-stabilizing Algorithms in Wireless Sensor Networks with Unreliable Links
Wireless sensor network is a set of many tiny sensor nodes each of which consists of a microprocessor with sensors and wireless communication device. Because centralized control is hard to achieve in a large scale sensor network, self-∗ is a key concept to design such a network. In this paper, as one of self-∗ properties, we investigate self-stabilization algorithms which is a promising theoretical background for wireless sensor network protocols. T. Herman [Procs. International Workshop of Distributed Computing, 2003] proposed a transformation scheme of self-stabilizing algorithm in abstract computational model to sensor network model. However, it is not known that whether expected convergence time of transformed algorithms is finite or not. We show upper bound of expected convergence time of some self-stabilizing algorithms in explicit formulas.
KeywordsWireless sensor network self-stabilization self-organization probabilistic self-stabilization convergence time
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