Scheduling games with machine-dependent priority lists

نویسندگان

چکیده

We consider a scheduling game on parallel related machines, in which jobs try to minimize their completion time by choosing machine be processed on. Each uses an individual priority list decide the order according are processed. prove that it is NP-hard if pure Nash equilibrium exists and characterize four classes of instances guaranteed exist. For each these classes, we give algorithm computes equilibrium, best-response dynamics converge bound inefficiency equilibria with respect makespan schedule sum times. In addition, show although exist identical approximate best both objectives.

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2021

ISSN: ['1879-2294', '0304-3975']

DOI: https://doi.org/10.1016/j.tcs.2020.11.042