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An FPTAS for a supply scheduling problem with non‐monotone cost functions

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  • Chi To Ng
  • Mikhail Yakovlevich Kovalyov
  • Tai Chiu Edwin Cheng

Abstract

Chauhan et al. Oper Res Lett 33 (2005), 249–254 presented a fully polynomial time approximation scheme (FPTAS) for a supply scheduling problem, which is to minimize a total cost associated with the sizes of deliveries from several providers to one manufacturer. The cost functions are assumed non‐decreasing and their arguments are assumed continuously divisible. In this note, we give a motivation for considering the case of non‐monotone cost functions with continuously divisible or discrete arguments. For this more general case, we suggest a modification of the FPTAS in [Chauhan et al., Oper Res Lett 33 (2005), 249–254]. We also suggest a different FPTAS to handle concave cost functions. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • Chi To Ng & Mikhail Yakovlevich Kovalyov & Tai Chiu Edwin Cheng, 2008. "An FPTAS for a supply scheduling problem with non‐monotone cost functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(3), pages 194-199, April.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:3:p:194-199
    DOI: 10.1002/nav.20276
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    References listed on IDEAS

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    1. Kurt M. Bretthauer & Bala Shetty, 1995. "The Nonlinear Resource Allocation Problem," Operations Research, INFORMS, vol. 43(4), pages 670-683, August.
    2. Chauhan, Satyaveer Singh & Proth, Jean-Marie, 2003. "The concave cost supply problem," European Journal of Operational Research, Elsevier, vol. 148(2), pages 374-383, July.
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    Cited by:

    1. Zhou Xu, 2013. "The knapsack problem with a minimum filling constraint," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(1), pages 56-63, February.

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