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Optimal replenishment under price uncertainty

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  • Mohr, Esther
Abstract
We aim to find optimal replenishment decisions without having the entire price information available at the outset. Although it exists, the underlying price distribution is neither known nor given as part of the input. Under the competitive ratio optimality criterion, we design and analyze online algorithms for two related problems. Besides the reservation price based decision how much to buy we additionally consider the optimal scheduling of orders. We suggest an online algorithm that decides how much to buy at the optimal point in time and experimentally explore its decision making. Results show that the problem of finding a replenishment strategy with best possible worst-case performance guarantees can be considered as an extension of the online time series search problem.

Suggested Citation

  • Mohr, Esther, 2017. "Optimal replenishment under price uncertainty," European Journal of Operational Research, Elsevier, vol. 258(1), pages 136-143.
    • Handle: RePEc:eee:ejores:v:258:y:2017:i:1:p:136-143
    DOI: 10.1016/j.ejor.2016.08.011
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    References listed on IDEAS

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    1. Wang, Liying & Lan, Yingjie & Zhang, Jean X., 2016. "Competitive difference analysis of the one-way trading problem with limited informationAuthor-Name: Wang, Wei," European Journal of Operational Research, Elsevier, vol. 252(3), pages 879-887.
    2. Dai, Wenqiang & Jiang, Qingzhu & Feng, Yi, 2016. "A note: An improved upper bound for the online inventory problem with bounded storage and order costs," European Journal of Operational Research, Elsevier, vol. 249(2), pages 628-630.
    3. Michael R. Wagner, 2010. "Fully Distribution-Free Profit Maximization: The Inventory Management Case," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 728-741, November.
    4. Bulinskaya, E. V., 2003. "Inventory control and investment policy," International Journal of Production Economics, Elsevier, vol. 81(1), pages 309-316, January.
    5. 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.
    6. Hammoudeh, Shawkat & Yuan, Yuan, 2008. "Metal volatility in presence of oil and interest rate shocks," Energy Economics, Elsevier, vol. 30(2), pages 606-620, March.
    7. Wenming Zhang & Yinfeng Xu & Feifeng Zheng & Yucheng Dong, 2012. "Optimal algorithms for online time series search and one-way trading with interrelated prices," Journal of Combinatorial Optimization, Springer, vol. 23(2), pages 159-166, February.
    8. Michael O. Ball & Maurice Queyranne, 2009. "Toward Robust Revenue Management: Competitive Analysis of Online Booking," Operations Research, INFORMS, vol. 57(4), pages 950-963, August.
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    Cited by:

    1. Wenqiang Dai & Meng Zheng & Xu Chen & Zhuolin Yang, 0. "Online economic ordering problem for deteriorating items with limited price information," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-23.
    2. Wang, Wei & Lan, Yingjie, 2022. "Robust one-way trading with limited number of transactions and heuristics for fixed transaction costs," International Journal of Production Economics, Elsevier, vol. 247(C).
    3. Wenqiang Dai & Meng Zheng & Xu Chen & Zhuolin Yang, 2022. "Online economic ordering problem for deteriorating items with limited price information," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2246-2268, November.

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