A note on a selfish bin packing problem

Ruixin Ma, György Dósa, Xin Han, Hing Fung Ting, Deshi Ye, Yong Zhang

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

In this paper, we consider a selfish bin packing problem, where each item is a selfish player and wants to minimize its cost. In our new model, if there are k items packed in the same bin, then each item pays a cost 1/k, where k ≥ 1. First we find a Nash Equilibrium (NE) in time O(n log n) within a social cost at most 1.69103OPT + 3, where OPT is the social cost of an optimal packing; where n is the number of items or players; then we give tight bounds for the worst NE on the social cost; finally we show that any feasible packing can be converged to a Nash Equilibrium in O(n 2) steps without increasing the social cost.

Original languageEnglish
Pages (from-to)1457-1462
Number of pages6
JournalJournal of Global Optimization
Volume56
Issue number4
DOIs
Publication statusPublished - Aug 1 2013

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Keywords

  • Approximation ratio
  • Bin packing
  • Nash Equilibrium

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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