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Multi‐organization scheduling approximation algorithms
Author(s) -
Cohen Johanne,
Cordeiro Daniel,
Trystram Denis,
Wagner Frédéric
Publication year - 2011
Publication title -
concurrency and computation: practice and experience
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.309
H-Index - 67
eISSN - 1532-0634
pISSN - 1532-0626
DOI - 10.1002/cpe.1752
Subject(s) - selfishness , job shop scheduling , scheduling (production processes) , computer science , mathematical optimization , approximation algorithm , upper and lower bounds , algorithm , mathematics , computer network , mathematical analysis , routing (electronic design automation) , political science , law
SUMMARY In this paper we consider the problem of scheduling on computing platforms composed of several independent organizations, known as the Multi‐Organization Scheduling Problem (MOSP). Each organization provides both resources and jobs and follows its own objectives. We are interested in the best way to minimize the makespan on the entire platform when the organizations behave in a selfish way. We study the complexity of the MOSP problem with two different local objectives—makespan and average completion time—and show that MOSP is strongly NP‐Hard in both cases. We formally define a selfishness notion, by means of restrictions on the schedules. We prove that selfish behavior imposes a lower bound of 2 on the approximation ratio for the global makespan. We present various approximation algorithms of ratio 2 which validate selfishness restrictions. These algorithms are experimentally evaluated through simulation, exhibiting good average performances and presenting good fairness to organizations' local objectives. Copyright © 2011 John Wiley & Sons, Ltd.