Decentralization and Mechanism Design for Online Machine Scheduling
AbstractWe study the online version of the classical parallel machine scheduling problem to minimize the total weighted completion time from a new perspective: We assume a strategic setting, where the data of each job j, namely its release date r(j) , its processing time p(j) and its weight w(j) is only known to the job itself, but not to the system. Furthermore, we assume a decentralized setting, where jobs choose the machine on which they want to be processed themselves. We study this setting from the perspective of algorithmic mechanism design and present a polynomial time decentralized online scheduling mechanism that induces rational jobs to select their machine in such a way that the resulting schedule is 3.281-competitive. The mechanism deploys an online payment scheme that induces rational jobs to truthfully report about their private data: with respect to release dates and processing times, truthfully reporting is a dominant strategy equilibrium, whereas truthfully reporting the weights is a myopic best response equilibrium. We also show that the local scheduling policy used in the mechanism cannot be extended to a mechanism where truthful reports with respect to weights constitute a dominant strategy equilibrium.
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Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 007.
Date of creation: 2006
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operations research and management science;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-02-26 (All new papers)
- NEP-BEC-2006-02-26 (Business Economics)
- NEP-EXP-2006-02-26 (Experimental Economics)
- NEP-SOC-2006-02-26 (Social Norms & Social Capital)
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- Herbert Hamers & Flip Klijn & Marco Slikker, 2013. "Price of Anarchy in Sequencing Situations and the Impossibility to Coordinate," Working Papers 709, Barcelona Graduate School of Economics.
- Peters, Hans & Vermeulen, Dries, 2006. "WPO, COV and IIA bargaining solutions," Research Memoranda 021, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
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