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2014, 4(2): 115-132. doi: 10.3934/naco.2014.4.115

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

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

Received  January 2013 Revised  January 2014 Published  May 2014

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.
Citation: Louis Caccetta, Syarifah Z. Nordin. Mixed integer programming model for scheduling in unrelated parallel processor system with priority consideration. Numerical Algebra, Control & Optimization, 2014, 4 (2) : 115-132. doi: 10.3934/naco.2014.4.115
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