Non-preemptive Coordination Mechanisms for Identical Machine Scheduling Games

  • Authors:
  • Konstantinos Kollias

  • Affiliations:
  • Department of Informatics and Telecommunications, University of Athens, Panepistimiopolis Ilisia, Athens, Greece 15784

  • Venue:
  • SIROCCO '08 Proceedings of the 15th international colloquium on Structural Information and Communication Complexity
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

We study coordination mechanisms for scheduling nselfish tasks on midentical parallel machines and we focus on the price of anarchy of non-preemptive coordination mechanisms, i.e., mechanisms whose local policies do not delay or preempt tasks. We prove that the price of anarchy of every non-preemptive coordination mechanism for m 2 is $\Omega(\frac{\log \log m}{\log \log \log m})$, while for m= 2, we prove a $\frac{7}{6}$ lower bound. Our lower bounds indicate that it is impossible to produce a non-preemptive coordination mechanism that improves on the currently best known price of anarchy for identical machine scheduling, which is $\frac{4}{3}-\frac{1}{3m}$.