Mixed integer programming model for scheduling in unrelated parallel processor system with priority consideration

Louis Caccetta; Syarifah  Z.  Nordin

doi:10.3934/naco.2014.4.115

Article Contents

2014, Volume 4, Issue 2: 115-132. Doi: 10.3934/naco.2014.4.115

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Mixed integer programming model for scheduling in unrelated parallel processor system with priority consideration

Louis Caccetta^1, and
Syarifah Z. Nordin^2,

1.
Western Australia Centre of Excellence in Industrial Optimization(WACEIO), Department of Mathematics and Statistics, Curtin University, GPO Box U1987 Perth, WA 6845
2.
Department of Mathematical Sciences, Faculty of Science, University Technology Malaysia, 81310 UTM Johor Bahru, Johor

Received: January 2013

Revised: January 2014

Published: May 2014

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we consider a non-preemptive task scheduling problem for unrelated parallel processors (UPP) with the objective of minimizing the makespan. We address priority consideration as an added feature to the basic task characteristics of UPP scheduling. A mixed integer linear programming model is developed to obtain an optimal solution for the problem. Computational testing is implemented using AIMMS 3.10 package and CPLEX 12.1 as the solver. Computational results show that the proposed MILP model is effective and produces optimal results with up to 100 tasks run on 5 processors with an average solution time of less than an hour.

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Mathematics Subject Classification: Primary: 90C11, 90C27; Secondary: 90B35.

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