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Minimum Vehicle Fleet Size Under Time-Window Constraints at a Container Terminal

Author

Listed:
  • Iris F. A. Vis

    (School of Economics and Business Administration, Vrije Universiteit Amsterdam, De Boelelaan 1105, Room 3A-31, 1081 HV Amsterdam, The Netherlands)

  • René (M.) B. M. de Koster

    (Rotterdam School of Management/Faculteit Bedrijfskunde, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands)

  • Martin W. P. Savelsbergh

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

Abstract

Products can be transported in containers from one port to another. At a container terminal these containers are transshipped from one mode of transportation to another. Cranes remove containers from a ship and put them at a certain time (i.e., release time) into a buffer area with limited capacity. A vehicle lifts a container from the buffer area before the buffer area is full (i.e., in due time) and transports the container from the buffer area to the storage area. At the storage area the container is placed in another buffer area. The advantage of using these buffer areas is the resultant decoupling of the unloading and transportation processes. We study the case in which each container has a time window [release time, due time] in which the transportation should start.The objective is to minimize the vehicle fleet size such that the transportation of each container starts within its time window. No literature has been found studying this relevant problem. We have developed an integer linear programming model to solve the problem of determining vehicle requirements under time-window constraints. We use simulation to validate the estimates of the vehicle fleet size by the analytical model. We test the ability of the model under various conditions. From these numerical experiments we conclude that the results of the analytical model are close to the results of the simulation model. Furthermore, we conclude that the analytical model performs well in the context of a container terminal.

Suggested Citation

  • Iris F. A. Vis & René (M.) B. M. de Koster & Martin W. P. Savelsbergh, 2005. "Minimum Vehicle Fleet Size Under Time-Window Constraints at a Container Terminal," Transportation Science, INFORMS, vol. 39(2), pages 249-260, May.
    • Handle: RePEc:inm:ortrsc:v:39:y:2005:i:2:p:249-260
    DOI: 10.1287/trsc.1030.0063
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    References listed on IDEAS

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    1. Mauro Dell'Amico & Matteo Fischetti & Paolo Toth, 1993. "Heuristic Algorithms for the Multiple Depot Vehicle Scheduling Problem," Management Science, INFORMS, vol. 39(1), pages 115-125, January.
    2. I F A Vis & R de Koster & K J Roodbergen & L W P Peeters, 2001. "Determination of the number of automated guided vehicles required at a semi-automated container terminal," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(4), pages 409-417, April.
    3. Vis, Iris F. A. & de Koster, Rene, 2003. "Transshipment of containers at a container terminal: An overview," European Journal of Operational Research, Elsevier, vol. 147(1), pages 1-16, May.
    Full references (including those not matched with items on IDEAS)

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