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All-or-Nothing Ordering Under a Capacity Constraint

Author

Listed:
  • Guillermo Gallego

    (Department of Industrial Engineering and Operations Research, Columbia University, 500 West 120th Street, New York, New York 10027)

  • L. Beril Toktay

    (INSEAD, 77305 Fontainebleau Cedex, France)

Abstract

We consider a special case of the single-item, periodic-review inventory control problem with fixed plus linear ordering costs and an upper bound on production capacity. We assume that the fixed cost is large relative to the variable cost and restrict our analysis to full-capacity orders. We show that the optimal policy is a threshold policy, with respect to the inventory position, for a class of cost-to-go functions that include the class of convex functions.

Suggested Citation

  • Guillermo Gallego & L. Beril Toktay, 2004. "All-or-Nothing Ordering Under a Capacity Constraint," Operations Research, INFORMS, vol. 52(6), pages 1001-1002, December.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:6:p:1001-1002
    DOI: 10.1287/opre.1040.0153
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    References listed on IDEAS

    as
    1. L. Beril Toktay & Lawrence M. Wein, 2001. "Analysis of a Forecasting-Production-Inventory System with Stationary Demand," Management Science, INFORMS, vol. 47(9), pages 1268-1281, September.
    2. Gallego, Guillermo & Scheller-Wolf, Alan, 2000. "Capacitated inventory problems with fixed order costs: Some optimal policy structure," European Journal of Operational Research, Elsevier, vol. 126(3), pages 603-613, November.
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    Citations

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    Cited by:

    1. Youhua (Frank) Chen & Weili Xue & Jian Yang, 2013. "Technical Note---Optimal Inventory Policy in the Presence of a Long-Term Supplier and a Spot Market," Operations Research, INFORMS, vol. 61(1), pages 88-97, February.
    2. Osman Alp & Woonghee Tim Huh & Tarkan Tan, 2014. "Inventory Control with Multiple Setup Costs," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 89-103, February.
    3. Rossi, Roberto & Chen, Zhen & Tarim, S. Armagan, 2024. "On the stochastic inventory problem under order capacity constraints," European Journal of Operational Research, Elsevier, vol. 312(2), pages 541-555.
    4. Ma, Xiyuan & Rossi, Roberto & Archibald, Thomas Welsh, 2022. "Approximations for non-stationary stochastic lot-sizing under (s,Q)-type policy," European Journal of Operational Research, Elsevier, vol. 298(2), pages 573-584.
    5. repec:dgr:rugsom:10005 is not listed on IDEAS
    6. Yi Yang & Youhua (Frank) Chen & Yun Zhou, 2014. "Coordinating Inventory Control and Pricing Strategies Under Batch Ordering," Operations Research, INFORMS, vol. 62(1), pages 25-37, February.
    7. Nicky D. Van Foreest & Jacob Wijngaard, 2014. "On Optimal Policies for Production-Inventory Systems with Compound Poisson Demand and Setup Costs," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 517-532, May.
    8. Woonghee Tim Huh & Ganesh Janakiraman, 2012. "Technical Note---On Optimal Policies for Inventory Systems with Batch Ordering," Operations Research, INFORMS, vol. 60(4), pages 797-802, August.
    9. Foreest, N. D. van & Wijngaard, J., 2010. "On the Optimal Policy for the Single-product Inventory Problem with Set-up Cost and a Restricted Production Capacity," Research Report 10005, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    10. Stephen C. Graves & Tor Schoenmeyr, 2016. "Strategic Safety-Stock Placement in Supply Chains with Capacity Constraints," Manufacturing & Service Operations Management, INFORMS, vol. 18(3), pages 445-460, July.
    11. Yang, Yi & Yuan, Quan & Xue, Weili & Zhou, Yun, 2014. "Analysis of batch ordering inventory models with setup cost and capacity constraint," International Journal of Production Economics, Elsevier, vol. 155(C), pages 340-350.
    12. Chen, Zhen & Rossi, Roberto, 2021. "A dynamic ordering policy for a stochastic inventory problem with cash constraints," Omega, Elsevier, vol. 102(C).

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