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A Single Machine Group Scheduling Problem with Due Date Assignment and Position-Dependent Costs

Author

Listed:
  • Ying Chen

    (School of Management, Xi’an Jiaotong University, Xi’an 710049, P. R. China)

  • Yi Xu

    (School of Economics and Management, Xi’an University of Technology, Xi’an 710054, P. R. China)

  • Guiqing Zhang

    (School of Economics and Finance, Xi’an Jiaotong University, Xi’an 710049, P. R. China)

  • Yongxi Cheng

    (School of Management, Xi’an Jiaotong University, Xi’an 710049, P. R. China4State Key Lab for Manufacturing Systems Engineering, Xi’an 710049, P. R. China)

Abstract

In this paper, we study a single machine scheduling problem with due date assignment under a group technology environment. The due dates of jobs are assignable according to the following three methods: the common (CON) due date assignment, the slack (SLK) due date assignment, and the different (DIF) due date assignment. Our objective is to determine a group sequence and job sequences within all groups, together with a due date assignment, to minimize a total cost function including earliness, tardiness, due date assignment and flow time costs, in which all unit costs are different and position-dependent. We present a unified O(nlog n) time algorithm to solve the problem for all the three due date assignment methods.

Suggested Citation

  • Ying Chen & Yi Xu & Guiqing Zhang & Yongxi Cheng, 2023. "A Single Machine Group Scheduling Problem with Due Date Assignment and Position-Dependent Costs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 40(04), pages 1-20, August.
    • Handle: RePEc:wsi:apjorx:v:40:y:2023:i:04:n:s0217595923400079
    DOI: 10.1142/S0217595923400079
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