Volume 57, Number 2, March-April 2023
|Page(s)||715 - 730|
|Published online||28 April 2023|
Single machine SLK/DIF due window assignment problem with general job-dependent positional effect and outsourcing operations
Experimental Center of Data Science and Intelligent Decision, Hangzhou Dianzi University, Hangzhou 310018, P.R. China
2 Management School, Hangzhou Dianzi University, Hangzhou 310018, P.R. China
* Corresponding author: email@example.com
Accepted: 16 February 2023
This paper considers the SLK/DIF due window assignment problems on a single machine with a general job-dependent positional effect, where the actual processing time of a job is subject to a job-dependent and positional effect. Production schedulers may decide to outsource/reject some jobs by paying the corresponding costs. Based on whether to accept the tardiness jobs, we consider two different objectives under slack and different due window assignment, respectively. The first objective function is to minimize the weighted sum of earliness, tardiness, due window starting time, due window size, and outsourcing costs, while the second objective function is to minimize the cost function that includes earliness, due window starting time, due window size and outsourcing costs. We study the structural properties of two due window assignment methods and develop polynomial-time solution algorithms for the considered problems. A numerical example proves the advantage of the outsourcing decision and the distinction between two different objectives.
Mathematics Subject Classification: 90B35
Key words: Scheduling / Single machine / Due window assignment / Job-dependent positional effect / outsourcing
© The authors. Published by EDP Sciences, ROADEF, SMAI 2023
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