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An algorithm for optimal shipments with given frequencies

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  • M. G. Speranza
  • W. Ukovich

Abstract

This article deals with the problem of minimizing the transportation and inventory cost associated with the shipment of several products from a source to a destination, when a finite set of shipping frequencies is available. A mixed‐integer programming model—shown to be NP‐hard—is formulated for that problem. The computational complexity of some similar models applied to different problems is also investigated. In particular, whereas the capacitated plant location problem with operational cost in product form is NP‐hard, the simple plant location problem with the same characteristics can be solved in polynomial time. A branch‐and‐bound algorithm is finally worked out, and some computational results are presented. © 1996 John Wiley & Sons, Inc.

Suggested Citation

  • M. G. Speranza & W. Ukovich, 1996. "An algorithm for optimal shipments with given frequencies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(5), pages 655-671, August.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:5:p:655-671
    DOI: 10.1002/(SICI)1520-6750(199608)43:53.0.CO;2-4
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    References listed on IDEAS

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    1. Margaret L. Brandeau & Samuel S. Chiu, 1989. "An Overview of Representative Problems in Location Research," Management Science, INFORMS, vol. 35(6), pages 645-674, June.
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    8. Maria Grazia Speranza & Walter Ukovich, 1994. "Minimizing Transportation and Inventory Costs for Several Products on a Single Link," Operations Research, INFORMS, vol. 42(5), pages 879-894, October.
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    Cited by:

    1. Luca Bertazzi & Maria Grazia Speranza, 1999. "Minimizing logistic costs in multistage supply chains," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(4), pages 399-417, June.
    2. Luca Bertazzi & Lap Mui Ann Chan & Maria Grazia Speranza, 2007. "Analysis of practical policies for a single link distribution system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 497-509, August.
    3. Bertazzi, Luca & Moezi, Sarem Deilami & Maggioni, Francesca, 2021. "The value of integration of full container load, less than container load and air freight shipments in vendor–managed inventory systems," International Journal of Production Economics, Elsevier, vol. 241(C).
    4. Katerina P. Papadaki & Warren B. Powell, 2003. "An adaptive dynamic programming algorithm for a stochastic multiproduct batch dispatch problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(7), pages 742-769, October.
    5. Leandro C. Coelho & Jean-François Cordeau & Gilbert Laporte, 2014. "Thirty Years of Inventory Routing," Transportation Science, INFORMS, vol. 48(1), pages 1-19, February.

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