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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2012, Volume 4, Issue 4, Pages 93–113 (Mi mgta99)  
This article is cited in 3 scientific papers (total in 3 papers)

Price of anarchy for machine load balancing game

Julia V. Chirkova

IAMR KRC RAS
Full-text PDF (742 kB) Citations (3)
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Abstract: The Machine Load Balancing Game with $N$ machines is considered. A set of $n$ jobs is to be assigned to a set of $N$ machines with different speeds. Jobs choose machines to minimize their own delays. The social cost of a schedule is the maximum delay among all machines, i.e. makespan. For this model the upper bound estimation of the Price of Anarchy is obtained. Conditions, when this upper bound estimation is an exact estimation of the Price of Anarchy, are found. Conditions of Braess's Paradox appearing in the system are found. For the case of 3 machines the exact value of Price of Anarchy is obtained numerically with the algorithm that was developed.
Keywords: machine load balancing game, Nash equilibrium, price of anarchy.
English version:
Automation and Remote Control, 2015, Volume 76, Issue 10, Pages 1849–1864
DOI: https://doi.org/10.1134/S0005117915100124
Bibliographic databases:
Document Type: Article
UDC: 519.711.7
BBC: 22.1
Language: Russian
Citation: Julia V. Chirkova, “Price of anarchy for machine load balancing game”, Mat. Teor. Igr Pril., 4:4 (2012), 93–113; Autom. Remote Control, 76:10 (2015), 1849–1864
Citation in format AMSBIB
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\by Julia~V.~Chirkova
\paper Price of anarchy for machine load balancing game
\jour Mat. Teor. Igr Pril.
\yr 2012
\vol 4
\issue 4
\pages 93--113
\mathnet{http://mi.mathnet.ru/mgta99}
\transl
\jour Autom. Remote Control
\yr 2015
\vol 76
\issue 10
\pages 1849--1864
\crossref{https://doi.org/10.1134/S0005117915100124}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363270900012}
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  • https://www.mathnet.ru/eng/mgta/v4/i4/p93
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическая теория игр и её приложения
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    Abstract page:332
    Full-text PDF :139
    References:42
    First page:1
     
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