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Approximate Equilibria and Ball Fusion
 Theory of Computing Systems
, 2002
"... We consider sel sh routing over a network consisting of m parallel links through which n sel sh users route their tra c trying to minimize their own expected latency. Westudy the class of mixed strategies in which the expected latency through each link is at most a constant multiple of the optimum m ..."
Abstract

Cited by 56 (23 self)
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We consider sel sh routing over a network consisting of m parallel links through which n sel sh users route their tra c trying to minimize their own expected latency. Westudy the class of mixed strategies in which the expected latency through each link is at most a constant multiple of the optimum maximum latency had global regulation been available. For the case of uniform links it is known that all Nash equilibria belong to this class of strategies. We areinterested in bounding the coordination ratio (or price of anarchy) of these strategies de ned as the worstcase ratio of the maximum (over all links) expected latency over the optimum maximum latency. The load balancing aspect of the problem immediately implies a lower bound; lnm ln lnm of the coordination ratio. We give a tight (uptoamultiplicative constant) upper bound. To show the upper bound, we analyze a variant ofthe classical balls and bins problem, in which balls with arbitrary weights are placed into bins according to arbitrary probability distributions. At the heart of our approach is a new probabilistic tool that we call
Decentralized utilitybased sensor network design
 Mobile Networks and Applications
"... Abstract. Wireless sensor networks consist of energy constrained nodes operating typically in an unattended mode and highly dynamic environments. In this paper, we advocate a systematic decentralized approach to designing these networks based on utility functions. We investigate the design of approp ..."
Abstract

Cited by 2 (0 self)
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Abstract. Wireless sensor networks consist of energy constrained nodes operating typically in an unattended mode and highly dynamic environments. In this paper, we advocate a systematic decentralized approach to designing these networks based on utility functions. We investigate the design of appropriate local utility functions for each sensor such that while each sensor “selfishly ” optimizes its own utility, the network as a “whole ” converges to a desired global objective. Specifically, we design a mechanism for the problem of constructing a load balanced data gathering tree in a sensor network using this approach. We show that the tree obtained using this mechanism is optimally load balanced by comparison with a centralized offline algorithm. This study suggests a significant departure from the existing view of sensor networks as consisting of cooperative nodes i.e “selfish ” sensors might be a useful paradigm for designing efficient distributed algorithms for optimizing the performance of these networks. 1
Decentralized Utilitybased Sensor Network Design
"... Wireless sensor networks consist of energy constrained nodes operating typically in an unattended mode and highly dynamic environments. In this paper, we advocate a systematic decentralized approach to designing these networks based on utility functions. We investigate the design of appropriate loca ..."
Abstract
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Wireless sensor networks consist of energy constrained nodes operating typically in an unattended mode and highly dynamic environments. In this paper, we advocate a systematic decentralized approach to designing these networks based on utility functions. We investigate the design of appropriate local utility functions for each sensor such that while each sensor "selfishly" optimizes its own utility, the network as a "whole" converges to a desired global objective. Specifically, we design a mechanism for the problem of constructing a load balanced data gathering tree in a sensor network using this approach. We show that the tree obtained using this mechanism is optimally load balanced by comparison with a centralized o#ine algorithm. This study suggests a significant departure from the existing view of sensor networks as consisting of cooperative nodes i.e "selfish" sensors might be a useful paradigm for designing e#cient distributed algorithms for optimizing the performance of these networks.