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Planning Models with Stationary Fixed Lead Times

In: Production Planning with Capacitated Resources and Congestion

Author

Listed:
  • Hubert Missbauer

    (University of Innsbruck)

  • Reha Uzsoy

    (North Carolina State University)

Abstract

In this chapter, we present optimization models for order release using exogenous planned lead times that remain constant (stationary) over the planning horizon. We describe the material flow dynamics implied by these models, beginning by assuming lead times that are integer multiples of the underlying planning period. We construct a series of linear programming models for this problem and examine their dual, noting several implications that are inconsistent with insights from the queueing models discussed in Chap. 2 . We then extend this approach to consider fractional lead times and a more general formulation where a production order may consume capacity in multiple, not necessarily consecutive, periods.

Suggested Citation

  • Hubert Missbauer & Reha Uzsoy, 2020. "Planning Models with Stationary Fixed Lead Times," Springer Books, in: Production Planning with Capacitated Resources and Congestion, chapter 0, pages 77-112, Springer.
    • Handle: RePEc:spr:sprchp:978-1-0716-0354-3_5
    DOI: 10.1007/978-1-0716-0354-3_5
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