Journal of the Operations Research Society of China ›› 2024, Vol. 12 ›› Issue (3): 681-693.doi: 10.1007/s40305-023-00511-2

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Minmax Common Due-Window Assignment Scheduling with Deteriorating Jobs

Dan-Yang Lv, Jing Xue, Ji-Bo Wang   

  1. School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang 110136, Liaoning, China
  • Received:2022-01-17 Revised:2023-08-17 Online:2024-09-30 Published:2024-08-15
  • Contact: Ji-Bo Wang, Dan-Yang Lv, Jing Xue E-mail:wangjibo75@163.com;2536959388@qq.com;jxueaa11@163.com
  • Supported by:
    This work was supported by LiaoNing Revitalization Talents Program (No. XLYC2002017).

Abstract: This paper investigates the common due-window assignment scheduling problem with deteriorating jobs on a single machine in which the processing time of a job is a proportional function of its starting time. The goal is to minimize the maximum value of earliness and tardiness penalties, as well as due-window location cost, and size cost. Depending on whether the location and size of due-window are known, this paper studies three relevant cases, all of which are solvable in polynomial time.

Key words: Scheduling, Single machine, Deteriorating jobs, Common due-window, Earliness, Tardiness

CLC Number: