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A By-Product Production System with an Alternative

Author

Listed:
  • Bryan L. Deuermeyer

    (Texas A & M University)

  • William P. Pierskalla

    (University of Pennsylvania)

Abstract

This paper considers the optimal control of a production system which is composed of two distinct production processes, types A and B, that produce two different products, 1 and 2, having distinct random demands. Production type A produces both products in amounts determined by a fixed set of production coefficients. Type B can only be used to make product 2. Costs consist of linear production costs and convex holding and shortage costs. Each period, the optimal production level of each type must be determined. The criterion is the minimum expected discounted total cost. Results show that the decision space of each period is partitioned into four regions by three monotone functions and a point. Extensions include capacitated production, nonstationary costs, lost sales, fixed lead times aid the general m process-n product system.

Suggested Citation

  • Bryan L. Deuermeyer & William P. Pierskalla, 1978. "A By-Product Production System with an Alternative," Management Science, INFORMS, vol. 24(13), pages 1373-1383, September.
    • Handle: RePEc:inm:ormnsc:v:24:y:1978:i:13:p:1373-1383
    DOI: 10.1287/mnsc.24.13.1373
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    Citations

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    Cited by:

    1. Andres F. Osorio & Sally C. Brailsford & Honora K. Smith & Sonia P. Forero-Matiz & Bernardo A. Camacho-Rodríguez, 2017. "Simulation-optimization model for production planning in the blood supply chain," Health Care Management Science, Springer, vol. 20(4), pages 548-564, December.
    2. Bitran, Gabriel R. & Leong, Thin-Yin., 1989. "Deterministic approximations to co-production problems with service constraints," Working papers 3071-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    3. Oner, Selma & Bilgic, Taner, 2008. "Economic lot scheduling with uncontrolled co-production," European Journal of Operational Research, Elsevier, vol. 188(3), pages 793-810, August.
    4. Yuan Xu & Joseph Szmerekovsky, 2022. "A multi-product multi-period stochastic model for a blood supply chain considering blood substitution and demand uncertainty," Health Care Management Science, Springer, vol. 25(3), pages 441-459, September.
    5. Vidal-Carreras, Pilar I. & Garcia-Sabater, Jose P. & Coronado-Hernandez, Jairo R., 2012. "Economic lot scheduling with deliberated and controlled coproduction," European Journal of Operational Research, Elsevier, vol. 219(2), pages 396-404.

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