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Replenishment and Stocking Policies for Inventory Systems with Random Deal Offerings

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  • Kamran Moinzadeh

    (School of Business Administration, University of Washington, Seattle, Washington 98195)

Abstract

This paper considers the replenishment and stocking decision for inventory systems in which price discounts, referred to as deals, are offered by the supplier (or the market place) at random points in time. Assuming that the demand is constant over time, the times between deal offerings are exponentially distributed and that the order leadtimes are negligible, we derive expressions for evaluating the operating characteristics of the model. Moreover, we derive expressions for determining the optimal policy parameters for such systems and present results on the behavior of the optimal policy parameters. Our results are easy to implement, intuitive and provide managerial insights and a better understanding on the effect of random deal offerings on replenishment and stocking decisions. In addition, we suggest a back of envelope heuristic solution for deriving the policy parameters.

Suggested Citation

  • Kamran Moinzadeh, 1997. "Replenishment and Stocking Policies for Inventory Systems with Random Deal Offerings," Management Science, INFORMS, vol. 43(3), pages 334-342, March.
  • Handle: RePEc:inm:ormnsc:v:43:y:1997:i:3:p:334-342
    DOI: 10.1287/mnsc.43.3.334
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    Citations

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    Cited by:

    1. George Hall and John Rust, Yale University, 2001. "Econometric Methods for Endogenously Sampled Time Series: The Case of Commodity Price Speculation in the Steel Market," Computing in Economics and Finance 2001 274, Society for Computational Economics.
    2. X. Guo & P. Kaminsky & P. Tomecek & M. Yuen, 2011. "Optimal spot market inventory strategies in the presence of cost and price risk," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 73(1), pages 109-137, February.
    3. Antonio Arreola‐Risa & Gregory A. DeCroix, 1998. "Inventory management under random supply disruptions and partial backorders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(7), pages 687-703, October.
    4. Sarker, Bhaba R. & Al Kindi, Mahmood, 2006. "Optimal ordering policies in response to a discount offer," International Journal of Production Economics, Elsevier, vol. 100(2), pages 195-211, April.
    5. Wang, Yunzeng, 2001. "The optimality of myopic stocking policies for systems with decreasing purchasing prices," European Journal of Operational Research, Elsevier, vol. 133(1), pages 153-159, August.
    6. Berling, Peter, 2008. "The capital cost of holding inventory with stochastically mean-reverting purchase price," European Journal of Operational Research, Elsevier, vol. 186(2), pages 620-636, April.
    7. Omar Besbes & Sergei Savin, 2009. "Going Bunkers: The Joint Route Selection and Refueling Problem," Manufacturing & Service Operations Management, INFORMS, vol. 11(4), pages 694-711, February.
    8. Shaposhnik, Yaron & Herer, Yale T. & Naseraldin, Hussein, 2015. "Optimal ordering for a probabilistic one-time discount," European Journal of Operational Research, Elsevier, vol. 244(3), pages 803-814.
    9. Ben A. Chaouch, 2007. "Inventory control and periodic price discounting campaigns," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 94-108, February.
    10. Xiuli Chao & Frank Y. Chen, 2005. "An Optimal Production and Shutdown Strategy when a Supplier Offers an Incentive Program," Manufacturing & Service Operations Management, INFORMS, vol. 7(2), pages 130-143, March.
    11. Hall, George & Rust, John, 2021. "Estimation of endogenously sampled time series: The case of commodity price speculation in the steel market," Journal of Econometrics, Elsevier, vol. 222(1), pages 219-243.
    12. Moritz Fleischmann & Jo A. E. E. van Nunen & Ben Gräve, 2003. "Integrating Closed-Loop Supply Chains and Spare-Parts Management at IBM," Interfaces, INFORMS, vol. 33(6), pages 44-56, December.
    13. Peter Berling & Victor Martínez-de-Albéniz, 2011. "Optimal Inventory Policies when Purchase Price and Demand Are Stochastic," Operations Research, INFORMS, vol. 59(1), pages 109-124, February.
    14. Y. Feng & J. Sun, 2001. "Computing the Optimal Replenishment Policy for Inventory Systems with Random Discount Opportunities," Operations Research, INFORMS, vol. 49(5), pages 790-795, October.
    15. Arnoud den Boer & Ohad Perry & Bert Zwart, 2018. "Dynamic pricing policies for an inventory model with random windows of opportunities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(8), pages 660-675, December.
    16. Mahdi Tajbakhsh, M. & Lee, Chi-Guhn & Zolfaghari, Saeed, 2011. "An inventory model with random discount offerings," Omega, Elsevier, vol. 39(6), pages 710-718, December.
    17. Srinivas R. Chakravarthy & B. Madhu Rao, 2021. "Queuing-Inventory Models with MAP Demands and Random Replenishment Opportunities," Mathematics, MDPI, vol. 9(10), pages 1-26, May.
    18. Pinçe, Çerağ, 2021. "Forward Buying and Strategic Stockouts," European Journal of Operational Research, Elsevier, vol. 289(1), pages 118-131.
    19. Peter Berling & Kaj Rosling, 2005. "The Effects of Financial Risks on Inventory Policy," Management Science, INFORMS, vol. 51(12), pages 1804-1815, December.
    20. Larsen, Kim S. & Wøhlk, Sanne, 2010. "Competitive analysis of the online inventory problem," European Journal of Operational Research, Elsevier, vol. 207(2), pages 685-696, December.

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