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Sequence and due date assignment with uncertain processing times and mixed penalty functions

Author

Listed:
  • Yu Xia
  • Jinfeng Yue
  • Gesha Hu

Abstract

This research considers a single machine production system with stochastic processing times. Since complete distribution information of the processing time of each job is difficult or impossible to achieve, we introduce a heuristic procedure using only mean and variance information. An objective function combining three penalties: quadratic penalty on job earliness, quadratic penalty on job tardiness and linear penalty associated with long due date assignment is studied. Numerical tests indicate that our procedure performs better than the method only considering mean information. Furthermore, the performance of the proposed procedure is robust to job processing time distributions.

Suggested Citation

  • Yu Xia & Jinfeng Yue & Gesha Hu, 2008. "Sequence and due date assignment with uncertain processing times and mixed penalty functions," International Journal of Business and Systems Research, Inderscience Enterprises Ltd, vol. 2(3), pages 258-271.
    • Handle: RePEc:ids:ijbsre:v:2:y:2008:i:3:p:258-271
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