By Topic

A Generalized Multi-Organization Scheduling on Unrelated Parallel Machines

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Fukuhito Ooshita ; Grad. Sch. of Inf. Sci. & Technol., Osaka Univ., Suita, Japan ; Tomoko Izumi ; Taisuke Izumi

We consider the parallel computing environment where m organizations provide machines 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 situations, we formulate the ¿-cooperative multi-organization scheduling problem (¿-MOSP), where ¿ ¿ 1 is a parameter representing the degree of cooperativeness. ¿-MOSP minimizes the makespan under the cooperation constraint that each organization does not allow the completion time of its own jobs to be delayed ¿ times of that in the case where those jobs are executed by itself. In this paper, we aim to reveal the relation between the makespan and the degree of cooperativeness. First, we investigate the relation between ¿ and the quality of the global makespan. For ¿ = 1 (i.e., each organization never sacrifices its completion time), we show an instance where the cooperation constraint degrades the optimal makespan by m times. In contrast, for ¿ > 1, we can construct an algorithm transforming any unconstrained schedule to one satisfying the cooperation constraint. This algorithm bounds the degradation ratio by ¿/(¿ - 1), which implies that weak cooperation improves the makespan dramatically. Second, we study the complexity of ¿-MOSP. We show its strongly NPhardness and inapproximability for the approximation factor less than max{(¿ + l)/¿, 3/2}. We also show the hardness of transformation: Even if an optimal schedule under no cooperation constraint is given, no polynomial-time algorithm finds an optimal schedule for ¿-MOSP. This result is a witness for inexistence of general polynomial-time transformation algorithms that preserve the approximation ratio.

Published in:

2009 International Conference on Parallel and Distributed Computing, Applications and Technologies

Date of Conference:

8-11 Dec. 2009