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arXiv · 1512.03484

Tighter Bounds on the Inefficiency Ratio of Stable Equilibria in Load Balancing Games

Akaki Mamageishvili·Paolo Penna
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Abstract

In this paper we study the inefficiency ratio of stable equilibria in load balancing games introduced by Asadpour and Saberi [3]. We prove tighter lower and upper bounds of 7/6 and 4/3, respectively. This improves over the best known bounds in problem (19/18 and 3/2, respectively). Equivalently, the results apply to the question of how well the optimum for the $L_2$ -norm can approximate the $L_{\infty}$-norm (makespan) in identical machines scheduling.

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Akaki Mamageishvili, Paolo Penna. 2015-12-10. Tighter Bounds on the Inefficiency Ratio of Stable Equilibria in Load Balancing Games. https://arxiv.org/abs/1512.03484

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