An efficient heuristic approach for parallel machine scheduling with job splitting and sequence-dependent setup times |
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Authors: | Farouk Yalaoui Chengbin Chu |
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Affiliation: |
a Laboratory of Industrial Systems Optimization (LOSI), Department of Industrial Systems Engineering, Troyes University of Technology (UTT), 12, rue Marie Curie, BP 2060, 10010 Troyes, France E-mail: Farouk.Yalaoui@utt.fr or Chengbin.Chu@utt.fr. |
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Abstract: | In this paper, we consider a simplified real-life identical parallel machine scheduling problem with sequence-dependent setup times and job splitting to minimize makespan. We propose a heuristic to solve this problem. Our method is composed of two parts. The problem is first reduced into a single machine scheduling problem with sequence-dependent setup times. This reduced problem can be transformed into a Traveling Salesman Problem (TSP), which can be efficiently solved using Little's method. In the second part, a feasible initial solution to the original problem is obtained by exploiting the results of the first part. This initial solution is then improved in a step by step manner, taking into account the setup times and job splitting. We develop a lower bound and evaluate the performances of our heuristic on a large number of randomly generated instances. The solution given by our heuristic is less than 4.88% from the lower bound. |
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