The just-in-time job-shop scheduling problem with distinct due-dates for operations

Mohammad Mahdi Ahmadian () and Amir Salehipour ()
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Mohammad Mahdi Ahmadian: University of Technology Sydney
Amir Salehipour: University of Technology Sydney

Journal of Heuristics, 2021, vol. 27, issue 1, No 8, 175-204

Abstract: Abstract In the just-in-time job-shop scheduling (JIT–JSS) problem every operation has a distinct due-date, and earliness and tardiness penalties. Any deviation from the due-date incurs penalties. The objective of JIT–JSS is to obtain a schedule, i.e., the completion time for performing the operations, with the smallest total (weighted) earliness and tardiness penalties. This paper presents a matheuristic algorithm for the JIT–JSS problem, which operates by decomposing the problem into smaller sub-problems, optimizing the sub-problems and delivering the optimal schedule for the problem. By solving a set of 72 benchmark instances ranging from 10 to 20 jobs and 20 to 200 operations we show that the proposed algorithm outperforms the state-of-the-art methods and the solver CPLEX, and obtains new best solutions for nearly 56% of the instances, including for 79% of the large instances with 20 jobs.

Keywords: Just-in-time scheduling; Earliness and tardiness; Matheuristic; Heuristic; Variable neighborhood search; Relax-and-solve (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10732-020-09458-6

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