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Decomposition of a Combined Inventory and Time Constrained Ship Routing Problem

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  • Marielle Christiansen

    (Section of Managerial Economics and Operations Research, Norwegian University of Science and Technology, N-7034 Trondheim, Norway)

Abstract

In contrast to vehicle routing problems, little work has been done in ship routing and scheduling, although large benefits may be expected from improving this scheduling process. We will present a real ship planning problem, which is a combined inventory management problem and a routing problem with time windows. A fleet of ships transports a single product (ammonia) between production and consumption harbors. The quantities loaded and discharged are determined by the production rates of the harbors, possible stock levels, and the actual ship visiting the harbor. We describe the real problem and the underlying mathematical model. To decompose this model, we discuss some model adjustments. Then, the problem can be solved by a Dantzig–Wolfe decomposition approach including both ship routing subproblems and inventory management subproblems. The overall problem is solved by branch-and-bound. Our computational results indicate that the proposed method works for the real planning problem.

Suggested Citation

  • Marielle Christiansen, 1999. "Decomposition of a Combined Inventory and Time Constrained Ship Routing Problem," Transportation Science, INFORMS, vol. 33(1), pages 3-16, February.
    • Handle: RePEc:inm:ortrsc:v:33:y:1999:i:1:p:3-16
    DOI: 10.1287/trsc.33.1.3
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    References listed on IDEAS

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    1. Nikiforos A. Papadakis & Anastassios N. Perakis, 1989. "A nonlinear approach to the multiorigin, multidestination fleet deployment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 515-528, August.
    2. Miller, David M., 1987. "An interactive, computer-aided ship scheduling system," European Journal of Operational Research, Elsevier, vol. 32(3), pages 363-379, December.
    3. Niklas Kohl & Oli B. G. Madsen, 1997. "An Optimization Algorithm for the Vehicle Routing Problem with Time Windows Based on Lagrangian Relaxation," Operations Research, INFORMS, vol. 45(3), pages 395-406, June.
    4. Marielle Christiansen & Bjorn Nygreen, 1998. "A method for solving ship routing problemswith inventory constraints," Annals of Operations Research, Springer, vol. 81(0), pages 357-378, June.
    5. Krishan Rana & R. G. Vickson, 1988. "A Model and Solution Algorithm for Optimal Routing of a Time-Chartered Containership," Transportation Science, INFORMS, vol. 22(2), pages 83-95, May.
    6. Krishan Rana & R. G. Vickson, 1991. "Routing Container Ships Using Lagrangean Relaxation and Decomposition," Transportation Science, INFORMS, vol. 25(3), pages 201-214, August.
    7. Richard C. Larson, 1988. "Transporting Sludge to the 106-Mile Site: An Inventory/Routing Model for Fleet Sizing and Logistics System Design," Transportation Science, INFORMS, vol. 22(3), pages 186-198, August.
    8. Marshall L. Fisher & Kurt O. Jörnsten & Oli B. G. Madsen, 1997. "Vehicle Routing with Time Windows: Two Optimization Algorithms," Operations Research, INFORMS, vol. 45(3), pages 488-492, June.
    9. Martin Desrochers & Jacques Desrosiers & Marius Solomon, 1992. "A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 40(2), pages 342-354, April.
    10. Gerald G. Brown & Glenn W. Graves & David Ronen, 1987. "Scheduling Ocean Transportation of Crude Oil," Management Science, INFORMS, vol. 33(3), pages 335-346, March.
    11. Glenn W. Graves & Richard D. McBride & Ira Gershkoff & Diane Anderson & Deepa Mahidhara, 1993. "Flight Crew Scheduling," Management Science, INFORMS, vol. 39(6), pages 736-745, June.
    12. Marshall L. Fisher & Moshe B. Rosenwein, 1989. "An interactive optimization system for bulk‐cargo ship scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 27-42, February.
    13. Marielle Christiansen & Bjørn Nygreen, 1998. "Modelling path flows for a combined ship routingand inventory management problem," Annals of Operations Research, Springer, vol. 82(0), pages 391-413, August.
    14. Leif H. Appelgren, 1969. "A Column Generation Algorithm for a Ship Scheduling Problem," Transportation Science, INFORMS, vol. 3(1), pages 53-68, February.
    15. Leif H. Appelgren, 1971. "Integer Programming Methods for a Vessel Scheduling Problem," Transportation Science, INFORMS, vol. 5(1), pages 64-78, February.
    16. David Ronen, 1986. "Short-Term Scheduling of Vessels for Shipping Bulk or Semi-Bulk Commodities Originating in a Single Area," Operations Research, INFORMS, vol. 34(1), pages 164-173, February.
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