Mathematics (Sep 2023)

Study on Scheduling Problems with Learning Effects and Past Sequence Delivery Times

  • Hongyu He,
  • Yanzhi Zhao,
  • Xiaojun Ma,
  • Yuan-Yuan Lu,
  • Na Ren,
  • Ji-Bo Wang

DOI
https://doi.org/10.3390/math11194135
Journal volume & issue
Vol. 11, no. 19
p. 4135

Abstract

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In this paper, we study a single-machine green scheduling problem with learning effects and past-sequence-dependent delivery times. The problem can be properly applied to tackle green manufacturing where production and delivery time are variable and highly subject to process-reengineering. Our goal is to determine the optimal sequence such that total weighted completion time and maximum tardiness are minimized. For the general case, we provide the analysis procedure of lower bound, and also propose the heuristic and branch-and-bound algorithms. Furthermore, computational experiments are conducted to demonstrate the effectiveness of our algorithms.

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