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Note--On the Deterministic Demand Multi-Product Single-Machine Lot Scheduling Problem

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  • Stephen C. Graves

    (Massachusetts Institute of Technology)

Abstract

This note considers two single-machine multi-product scheduling problems with deterministic demand that have appeared in the management science literature: the economic lot scheduling problem and the joint replenishment problem. These problems are shown to be closely related. In addition, they are shown to be nearly identical to a one-warehouse, several-retailer inventory problem. As a consequence, any algorithm which solves one of the problems also solves the other two problems.

Suggested Citation

  • Stephen C. Graves, 1979. "Note--On the Deterministic Demand Multi-Product Single-Machine Lot Scheduling Problem," Management Science, INFORMS, vol. 25(3), pages 276-280, March.
  • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:3:p:276-280
    DOI: 10.1287/mnsc.25.3.276
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    Cited by:

    1. Salvietti, Luciano & Smith, Neale R., 2008. "A profit-maximizing economic lot scheduling problem with price optimization," European Journal of Operational Research, Elsevier, vol. 184(3), pages 900-914, February.
    2. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Multi-item EOQ model while demand is sales price and price break sensitive," Economic Modelling, Elsevier, vol. 29(6), pages 2283-2288.
    3. J-M Chen & T-H Chen, 2005. "Effects of joint replenishment and channel coordination for managing multiple deteriorating products in a supply chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(10), pages 1224-1234, October.
    4. Monalisha Pattnaik & Padmabati Gahan, 2021. "Preservation effort effects on retailers and manufacturers in integrated multi-deteriorating item discrete supply chain model," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 276-329, June.
    5. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "A three layer multi-item production–inventory model for multiple suppliers and retailers," Economic Modelling, Elsevier, vol. 29(6), pages 2704-2710.
    6. Tsao, Yu-Chung & Sheen, Gwo-Ji, 2012. "A multi-item supply chain with credit periods and weight freight cost discounts," International Journal of Production Economics, Elsevier, vol. 135(1), pages 106-115.
    7. Robert R. Inman & Philip C. Jones & Guillermo M. Gallego, 1991. "Economic lot scheduling of fully loaded processes with external setups," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 699-713, October.
    8. Rappold, James A. & Yoho, Keenan D., 2014. "Setting safety stocks for stable rotation cycle schedules," International Journal of Production Economics, Elsevier, vol. 156(C), pages 146-158.

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