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Phys. Rev. Lett. 90, 158701 (2003) [4 pages]

Phase Transition in Multiprocessor Scheduling

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Heiko Bauke1,*, Stephan Mertens1,2,†, and Andreas Engel1,‡
1Institut für Theoretische Physik, Otto-von-Guericke Universität, PF4120, 39016 Magdeburg, Germany
2The Abdus Salam International Centre of Theoretical Physics, St. Costiera 11, 34100 Trieste, Italy

Received 5 August 2002; published 17 April 2003

An “easy-hard” phase transition is shown to characterize the multiprocessor scheduling problem in which one has to distribute the workload on a parallel computer such as to minimize the overall run time. The transition can be analyzed in detail by mapping it on a mean-field antiferromagnetic Potts model. The static phase transition, characterized by a vanishing ground state entropy, corresponds to a transition in the performance of practical scheduling algorithms.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.158701
DOI:
10.1103/PhysRevLett.90.158701
PACS:
89.20.Ff, 02.60.Pn, 64.60.Cn, 89.70.+c

*Email address: heiko.bauke@physik.uni-magdeburg.de

Email address: stephan.mertens@physik.uni-magdeburg.de

Email address: andreas.engel@physik.uni-magdeburg.de