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Optimal Capacity Scheduling---II

Author

Listed:
  • Arthur F. Veinott

    (Stanford University, California)

  • Harvey M. Wagner

    (Stanford University, California)

Abstract

This paper is a continuation of the preceding article. When no special assumption is made about the cost coefficient c ij in the capacity scheduling model, it is necessary, as has been shown, to solve the problem by means of a transshipment linear programming model. But for a large class of real situations, the c ij can be described in terms of a specific mathematical function that leads to considerable simplifications in the solution algorithm. Here the algorithmic simplifications are explored in detail. The analysis of the capacity scheduling model is also extended to situations in which initial capacities exist, and an application of the model to the multicommodity warehousing problem is given.

Suggested Citation

  • Arthur F. Veinott & Harvey M. Wagner, 1962. "Optimal Capacity Scheduling---II," Operations Research, INFORMS, vol. 10(4), pages 533-546, August.
  • Handle: RePEc:inm:oropre:v:10:y:1962:i:4:p:533-546
    DOI: 10.1287/opre.10.4.533
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    Cited by:

    1. Thomas A. Weber, 2017. "Optimal switching between cash-flow streams," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(3), pages 567-600, December.
    2. Luca Di Gaspero & Johannes Gärtner & Guy Kortsarz & Nysret Musliu & Andrea Schaerf & Wolfgang Slany, 2007. "The minimum shift design problem," Annals of Operations Research, Springer, vol. 155(1), pages 79-105, November.
    3. Arjan Akkermans & Gerhard Post & Marc Uetz, 2021. "Solving the shift and break design problem using integer linear programming," Annals of Operations Research, Springer, vol. 302(2), pages 341-362, July.

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