Quick dispatching-rules-based solution for the two parallel machines problem under mold constraints

Mahdi Jemmali () and Abir Ben Hmida
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Mahdi Jemmali: Majmaah University
Abir Ben Hmida: University of Monastir

Flexible Services and Manufacturing Journal, 2024, vol. 36, issue 1, No 8, 224-249

Abstract: Abstract The main focus of this study is on the makespan minimization scheduling problem on two identical parallel machines with mold constraints. The mold constraint in this problem is described as a resource-constrained problem. In industries such as wafer fabrication, two tasks that use the same mold cannot be processed simultaneously on two parallel machines. Because the problem is NP-hard, ten heuristics have been developed and discussed to describe and solve the problem. These heuristics are based on the dispatching rules, the critical mold approach, the clustering method, and the probabilistic method using the randomization procedure. In addition, a new lower bound is proposed. Four classes with a total of 2160 instances are generated to assess the performance of the proposed algorithms. The computational results showed that the proposed lower bound and heuristics outperform those developed in the literature. In addition, the obtained results showed that the optimal solution is reached in 97.6% of the generated instances.

Keywords: Mold constraint; Parallel machines; Heuristic; Makespan; Big data; Algorithms (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10696-023-09483-0

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