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author:

Liu, M. (Liu, M..) [1] | Lin, T. (Lin, T..) [2] | Chu, F. (Chu, F..) [3] | Zheng, F. (Zheng, F..) [4] | Chu, C. (Chu, C..) [5]

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Scopus

Abstract:

Scheduling-Location (ScheLoc) problem considering machine location and job scheduling simultaneously is a relatively new and hot topic. The existing works assume that only one machine can be placed at a location, which may not be suitable for some practical applications. Besides, the customer credit risk which largely impacts the manufacturer-s profit has not been addressed in the ScheLoc problem. Therefore, in this work, we study a new and general stochastic parallel machine ScheLoc problem with limited location capacity and customer credit risk. The problem consists of determining the machine-to-location assignment, job acceptance, job-to-machine assignment, and scheduling of accepted jobs on each machine. The objective is to maximize the worst-case probability of manufacturer-s profit being greater than or equal to a given profit (referred to as the profit likelihood). For the problem, a distributionally robust chance-constrained (DRCC) programming model is proposed. Then, we develop two model-based approaches: (1) a sample average approximation (SAA) method; (2) a model-based constructive heuristic. Numerical results of 300 instances adapted from the literature show the average profit likelihood proposed by the constructive heuristic is 9.43% higher than that provided by the SAA, while the average computation time of the constructive heuristic is only 4.24% of that needed by the SAA.  © The authors. Published by EDP Sciences, ROADEF, SMAI 2023.

Keyword:

Customer credit risk Distributionally robust optimization Limited location capacity Parallel machine ScheLoc problem

Community:

  • [ 1 ] [Liu M.]School of Economics and Management, Tongji University, Shanghai, China
  • [ 2 ] [Lin T.]School of Economics and Management, Tongji University, Shanghai, China
  • [ 3 ] [Chu F.]School of Economics and Management, Fuzhou University, Fujian, China
  • [ 4 ] [Zheng F.]Glorious Sun School of Business and Management, Donghua University, Shanghai, China
  • [ 5 ] [Chu C.]Université Gustave-Eiffel, Esiee Paris, COSYS-GRETTIA, Marne-la-Vallée, F-77454, France

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Source :

RAIRO - Operations Research

ISSN: 2804-7303

Year: 2023

Issue: 3

Volume: 57

Page: 1179-1193

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 0

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