A hybrid genetic algorithm for an identical parallel-machine problem with maintenance activity

Wen-Chiung Lee, Jen-Ya Wang and Lin-Yo Lee
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Wen-Chiung Lee: Feng Chia University, Taichung, Taiwan (R.O.C.)
Jen-Ya Wang: Hungkuang University, Taichung, Taiwan (R.O.C.)
Lin-Yo Lee: Feng Chia University, Taichung, Taiwan (R.O.C.)

Journal of the Operational Research Society, 2015, vol. 66, issue 11, 1906-1918

Abstract: The scheduling of maintenance activities has been extensively studied, with most studies focusing on single-machine problems. In real-world applications, however, multiple machines or assembly lines process numerous jobs simultaneously. In this paper, we study a parallel-machine scheduling problem in which the objective is to minimize the total tardiness given that there is a maintenance activity on each machine. We develop a branch-and-bound algorithm to solve the problem with a small problem size. In addition, we propose a hybrid genetic algorithm to obtain the approximate solutions when the number of jobs is large. The performance of the proposed algorithms is evaluated based mainly on computational results.

Date: 2015
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