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A decomposition approach to a multi-period vehicle scheduling problem

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  • Kim, Jung-Ug
  • Kim, Yeong-Dae

Abstract

We consider a multi-period vehicle scheduling problem (MPVSP) in a transportation system where a fleet of homogeneous vehicles delivers products of a single type from a central depot to multiple (N) retailers. The objective of the MPVSP is to minimize transportation costs for product delivery and inventory holding costs at retailers over the planning horizon. To solve a MPVSP of large size in a reasonable computation time, a two-phase heuristic algorithm is suggested based on a kth shortest path algorithm. In the first phase of the algorithm, the MPVSP is decomposed into N single-retailer problems by ignoring the number of vehicles available. The single-retailer problem is formulated as the shortest path problem and several good delivery schedules are generated for each retailer using the kth shortest path algorithm assuming the exact requirement policy is used in the system. In the exact requirement policy, replenishments occur only when the inventory level is zero. In the second phase, a set of vehicle schedules is selected from those generated in the first phase. The vehicle schedule selection problem is a generalized assignment problem and it is solved by a heuristic based on the kth shortest path algorithm. Computational experiments on randomly generated test problems showed that the suggested algorithm gave near optimal solutions in a reasonable amount of computation time.

Suggested Citation

  • Kim, Jung-Ug & Kim, Yeong-Dae, 1999. "A decomposition approach to a multi-period vehicle scheduling problem," Omega, Elsevier, vol. 27(4), pages 421-430, August.
  • Handle: RePEc:eee:jomega:v:27:y:1999:i:4:p:421-430
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    1. Desrochers, M. & Lenstra, J. K. & Savelsbergh, M. W. P., 1990. "A classification scheme for vehicle routing and scheduling problems," European Journal of Operational Research, Elsevier, vol. 46(3), pages 322-332, June.
    2. Ronen, David, 1988. "Perspectives on practical aspects of truck routing and scheduling," European Journal of Operational Research, Elsevier, vol. 35(2), pages 137-145, May.
    3. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    4. T. William Chien & Anantaram Balakrishnan & Richard T. Wong, 1989. "An Integrated Inventory Allocation and Vehicle Routing Problem," Transportation Science, INFORMS, vol. 23(2), pages 67-76, May.
    5. Cattrysse, Dirk G. & Van Wassenhove, Luk N., 1992. "A survey of algorithms for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 60(3), pages 260-272, August.
    6. Pierre Trudeau & Moshe Dror, 1992. "Stochastic Inventory Routing: Route Design with Stockouts and Route Failures," Transportation Science, INFORMS, vol. 26(3), pages 171-184, August.
    7. Marshall L. Fisher & R. Jaikumar & Luk N. Van Wassenhove, 1986. "A Multiplier Adjustment Method for the Generalized Assignment Problem," Management Science, INFORMS, vol. 32(9), pages 1095-1103, September.
    8. Miller, David M., 1987. "An interactive, computer-aided ship scheduling system," European Journal of Operational Research, Elsevier, vol. 32(3), pages 363-379, December.
    9. Lawrence D. Burns & Randolph W. Hall & Dennis E. Blumenfeld & Carlos F. Daganzo, 1985. "Distribution Strategies that Minimize Transportation and Inventory Costs," Operations Research, INFORMS, vol. 33(3), pages 469-490, June.
    10. 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.
    11. S. Anily & A. Federgruen, 1993. "Two-Echelon Distribution Systems with Vehicle Routing Costs and Central Inventories," Operations Research, INFORMS, vol. 41(1), pages 37-47, February.
    12. 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.
    13. Awi Federgruen & Paul Zipkin, 1984. "A Combined Vehicle Routing and Inventory Allocation Problem," Operations Research, INFORMS, vol. 32(5), pages 1019-1037, October.
    14. Crainic, Teodor Gabriel & Roy, Jacques, 1988. "OR tools for tactical freight transportation planning," European Journal of Operational Research, Elsevier, vol. 33(3), pages 290-297, February.
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