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Synchronization of inventory and transportation under flexible vehicle constraint: A heuristics approach using sliding windows and hierarchical tree structure

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  • Pan, Zhendong
  • Tang, Jiafu
  • Fung, Richard Y.K.
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    Abstract

    This paper investigates the integrated inventory and transportation planning under flexible vehicle constraint. To offer better services at lower prices, more and more companies turn to outsource transportation functions to other professional service providers, namely 3rd party logistics companies. Under these vehicle rental arrangements, the number of vehicles is a decision variable instead of a fixed number, and the transportation cost includes not only the delivery cost but also the cost of vehicle rental that is proportional to the number of vehicles rented in a given planning horizon. In this paper, the problem is formulated as a mixed integer programming problem. A heuristic algorithm is developed, in which sliding windows are applied to approximate the problem by repeatedly solving a series of overlapping short-term subproblems, and a hierarchical tree structure is used to evaluate the closeness of different groups of retailers. Numerical experiments show that a better tradeoff between the inventory cost and transportation cost can be achieved through the proposed heuristic algorithm.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 192 (2009)
    Issue (Month): 3 (February)
    Pages: 824-836

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    Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:824-836

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: 3rd Party logistics Flexible vehicle constraint Mixed integer program Sliding window Hierarchical tree;

    References

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    1. Bertazzi, Luca & Speranza, Maria Grazia & Ukovich, Walter, 1997. "Minimization of logistic costs with given frequencies," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 327-340, August.
    2. Bertazzi, Luca & Grazia Speranza, Maria, 1999. "Inventory control on sequences of links with given transportation frequencies," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 261-270, March.
    3. Hall, Randolph W., 1985. "Determining vehicle dispatch frequency when shipping frequency differs among suppliers," Transportation Research Part B: Methodological, Elsevier, vol. 19(5), pages 421-431, October.
    4. S. Viswanathan & Kamlesh Mathur, 1997. "Integrating Routing and Inventory Decisions in One-Warehouse Multiretailer Multiproduct Distribution Systems," Management Science, INFORMS, vol. 43(3), pages 294-312, March.
    5. Baita, Flavio & Ukovich, Walter & Pesenti, Raffaele & Favaretto, Daniela, 1998. "Dynamic routing-and-inventory problems: a review," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(8), pages 585-598, November.
    6. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
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    Cited by:
    1. Ali, Agha Iqbal & O'Connor, Debra J., 2013. "Using truck-inventory-cost to obtain solutions to multi-period logistics models," International Journal of Production Economics, Elsevier, vol. 143(1), pages 144-150.
    2. Díaz-Madroñero, Manuel & Peidro, David & Mula, Josefa & Ferriols, Francisco J., 2010. "Enfoques de programación matemática fuzzy multiobjetivo para la planificación operativa del transporte en una cadena de suministro del sector del automóvil = Fuzzy Multiobjective Mathematical Prog," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 9(1), pages 44-68, June.

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