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A Multivehicle Tanker Scheduling Problem

Author

Listed:
  • M. Bellmore

    (The Johns Hopkins University, Baltimore, Maryland)

  • G. Bennington

    (North Carolina State University, Raleigh, North Carolina)

  • S. Lubore

    (The MITRE Corporation, McLean, Virginia)

Abstract

The Dantzig and Fulkerson Tanker Scheduling Problem is concerned with the determination of the minimum size and optimal routing of a fleet of homogeneous tankers needed to meet a prescribed schedule of deliveries. This problem has been formulated as a network flow problem. Later formulations consider an existing nonhomogeneous tanker fleet and relax the fixed shipping schedule. These problems are treated as multicommodity minimal cost flow problems. This paper further extends the problem to consider differing carrying capabilities of the vehicles and formulates a mixed integer linear program that permits partially loaded tankers. A branch-and-bound enumerative scheme in conjunction with a decomposed linear program with network sub-problems is presented.

Suggested Citation

  • M. Bellmore & G. Bennington & S. Lubore, 1971. "A Multivehicle Tanker Scheduling Problem," Transportation Science, INFORMS, vol. 5(1), pages 36-47, February.
    • Handle: RePEc:inm:ortrsc:v:5:y:1971:i:1:p:36-47
    DOI: 10.1287/trsc.5.1.36
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    Cited by:

    1. Hennig, F. & Nygreen, B. & Christiansen, M. & Fagerholt, K. & Furman, K.C. & Song, J. & Kocis, G.R. & Warrick, P.H., 2012. "Maritime crude oil transportation – A split pickup and split delivery problem," European Journal of Operational Research, Elsevier, vol. 218(3), pages 764-774.
    2. Zhiyuan Lin & Raymond S. K. Kwan, 2016. "Local convex hulls for a special class of integer multicommodity flow problems," Computational Optimization and Applications, Springer, vol. 64(3), pages 881-919, July.

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