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A note: An improved upper bound for the online inventory problem with bounded storage and order costs

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  • Dai, Wenqiang
  • Jiang, Qingzhu
  • Feng, Yi

Abstract

This work gives an improved competitive analysis for an online inventory problem with bounded storage and order costs proposed by Larsen and Wøhlk (2010). We improve the upper bound of the competitive ratio from (2+1k)Mmto less than 45(2+1k)Mm,where k, M and m are parameters of the given problem. The key idea is to use linear-fractional programming and primal-dual analysis methods to find the upper bound of a central inequality.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:249:y:2016:i:2:p:628-630
    DOI: 10.1016/j.ejor.2015.09.045
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    References listed on IDEAS

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    1. 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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    Cited by:

    1. 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).
    2. 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.
    3. Mohr, Esther, 2017. "Optimal replenishment under price uncertainty," European Journal of Operational Research, Elsevier, vol. 258(1), pages 136-143.

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