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Joint Production Planning and Product Delivery Commitments with Random Yield

Author

Listed:
  • Mordechai I. Henig

    (Tel Aviv University, Tel Aviv, Israel)

  • Nissan Levin

    (Tel Aviv University, Tel Aviv, Israel)

Abstract

We consider a producer who turns a raw material into a product. Before embarking upon production, the producer has to consider the quantity of raw material to order and the finished product delivery commitments; the actual amount produced is a random multiple of the amount of raw material ordered. A concave expected profit function is introduced which gives rise to simple formulas for determining the optimal quantities to order and to commit for delivery. We also analyze the relations between the optimal quantities to order and to commit, the expected amount received and production capacity. We show that among several vendors of the raw material, there exists a preferred one, no matter what the producer's cost parameters, if and only if the random multiple associated with that vendor is dominant in the sense of the second-degree stochastic order.

Suggested Citation

  • Mordechai I. Henig & Nissan Levin, 1992. "Joint Production Planning and Product Delivery Commitments with Random Yield," Operations Research, INFORMS, vol. 40(2), pages 404-409, April.
  • Handle: RePEc:inm:oropre:v:40:y:1992:i:2:p:404-409
    DOI: 10.1287/opre.40.2.404
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    Citations

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    Cited by:

    1. Qi Feng & J. George Shanthikumar, 2018. "Supply and Demand Functions in Inventory Models," Operations Research, INFORMS, vol. 66(1), pages 77-91, 1-2.
    2. Ferrer, Geraldo, 2003. "Yield information and supplier responsiveness in remanufacturing operations," European Journal of Operational Research, Elsevier, vol. 149(3), pages 540-556, September.
    3. Srinivas Bollapragada & Thomas E. Morton, 1999. "Myopic Heuristics for the Random Yield Problem," Operations Research, INFORMS, vol. 47(5), pages 713-722, October.
    4. Woonghee Tim Huh & Mahesh Nagarajan, 2010. "Technical note ---Linear Inflation Rules for the Random Yield Problem: Analysis and Computations," Operations Research, INFORMS, vol. 58(1), pages 244-251, February.
    5. Zikopoulos, Christos & Tagaras, George, 2007. "Impact of uncertainty in the quality of returns on the profitability of a single-period refurbishing operation," European Journal of Operational Research, Elsevier, vol. 182(1), pages 205-225, October.
    6. Burak Kazaz, 2004. "Production Planning Under Yield and Demand Uncertainty with Yield-Dependent Cost and Price," Manufacturing & Service Operations Management, INFORMS, vol. 6(3), pages 209-224, October.

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