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Discrete Optimal Control of Production Plans

Author

Listed:
  • P. R. Kleindorfer

    (University of Pennsylvania)

  • C. H. Kriebel

    (Carnegie-Mellon University)

  • G. L. Thompson

    (Carnegie-Mellon University)

  • G. B. Kleindorfer

    (Pennsylvania State University)

Abstract

This discussion demonstrates the application of discrete optimal control theory to production planning problems. In particular we show that most of the previous models which have appeared in the literature on production planning (scheduling, smoothing and work force balancing) can be characterized as special cases of the control theory problem formulation. This more general model relaxes a number of the assumptions required by other formulations in capturing a wide spectrum of production planning policies. Computational aspects of the control theory approach are discussed and solution results included for numerical examples.

Suggested Citation

  • P. R. Kleindorfer & C. H. Kriebel & G. L. Thompson & G. B. Kleindorfer, 1975. "Discrete Optimal Control of Production Plans," Management Science, INFORMS, vol. 22(3), pages 261-273, November.
    • Handle: RePEc:inm:ormnsc:v:22:y:1975:i:3:p:261-273
    DOI: 10.1287/mnsc.22.3.261
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    Cited by:

    1. Stefanou, Spiro E., 2009. "A Dynamic Characterization of Efficiency," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 10(1), pages 1-16.
    2. Jaya Singhal & Kalyan Singhal, 2008. "A Noniterative Algorithm for the Linear-Quadratic Profit-Maximization Model for Smoothing Multiproduct Production," INFORMS Journal on Computing, INFORMS, vol. 20(2), pages 169-178, May.
    3. Roberto Andreani & John Frank Matos Ascona & Valeriano Antunes Oliveira, 2024. "A Weak Maximum Principle for Discrete Optimal Control Problems with Mixed Constraints," Journal of Optimization Theory and Applications, Springer, vol. 203(1), pages 562-599, October.

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