Presentation 2008-09-11
An analysis of a generalized multi-organization scheduling on unrelated parallel machines
Fukuhito OOSHITA, Tomoko IZUMI, Taisuke IZUMI,
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Abstract(in English) We consider the grid where each organization provides a machine and several jobs to be executed. While cooperation of organizations is required to minimize the global makespan, each organization also expects the faster completion of its own jobs primarily and thus it is not necessarily cooperative. To handle the above situations, we newly introduce the α-cooperative multi-organization scheduling problem (α-MOSP), where α≧1 is a parameter representing the degree of cooperation. The α-MOSP minimizes the makespan under the cooperation constraint that each organization does not allow the completion time of its own jobs to be delayed α times of that in the case where those jobs are executed by itself. In this paper, we first investigate the relation between α and the quality of the global makespan. For α=1 (i.e., the completely uncooperative case), we show an instance where the cooperation constraint degrades the optimal makespan by m times, where m is the number of organizations. In contrast, for α>1, we can construct an algorithm transforming any unconstrained schedule to one satisfying the cooperation constraint. This algorithm bounds the degradation ratio by α/(α-1), which implies that weak cooperation improves the makespan dramatically. Second, we give some complexity results of α-MOSP.
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Keyword(in English) grid computing / heterogeneous parallel computing environment / scheduling algorithm / approximation algorithm
Paper # COMP2008-32
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Conference Information
Committee COMP
Conference Date 2008/9/4(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An analysis of a generalized multi-organization scheduling on unrelated parallel machines
Sub Title (in English)
Keyword(1) grid computing
Keyword(2) heterogeneous parallel computing environment
Keyword(3) scheduling algorithm
Keyword(4) approximation algorithm
1st Author's Name Fukuhito OOSHITA
1st Author's Affiliation Graduate School of Information Science and Technology, Osaka University()
2nd Author's Name Tomoko IZUMI
2nd Author's Affiliation Center of Social Contribution and Collaboration, Nagoya Institute of Technology
3rd Author's Name Taisuke IZUMI
3rd Author's Affiliation Graduate School of Engineering, Nagoya Institute of Technology
Date 2008-09-11
Paper # COMP2008-32
Volume (vol) vol.108
Number (no) 206
Page pp.pp.-
#Pages 8
Date of Issue