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Interactive optimization methodology for fleet scheduling

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  • William G. Nulty
  • H. Donald Ratliff

Abstract

This article addresses the problem of scheduling the United States Navy's Atlantic Fleet to satisfy overseas strategic requirements. An integer programming formulation is developed but results in a model with prohibitive size. This fact and the qualitative nature of additional secondary objectives and constraints suggest an interactive optimization approach. A system that solves a natural relaxation of the integer program within an interactive environment is discussed.

Suggested Citation

  • William G. Nulty & H. Donald Ratliff, 1991. "Interactive optimization methodology for fleet scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 669-677, October.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:5:p:669-677
    DOI: 10.1002/1520-6750(199110)38:53.0.CO;2-Y
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    References listed on IDEAS

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    1. Gerald G. Brown & Clark E. Goodman & R. Kevin Wood, 1990. "Annual Scheduling of Atlantic Fleet Naval Combatants," Operations Research, INFORMS, vol. 38(2), pages 249-259, April.
    2. Marshall L. Fisher, 1985. "An Applications Oriented Guide to Lagrangian Relaxation," Interfaces, INFORMS, vol. 15(2), pages 10-21, April.
    3. G. B. Dantzig & D. R. Fulkerson, 1954. "Minimizing the number of tankers to meet a fixed schedule," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(3), pages 217-222, September.
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    Cited by:

    1. Javier Salmerón & Jeffrey Kline & Greta Spitz Densham, 2011. "Optimizing Schedules for Maritime Humanitarian Cooperative Engagements from a United States Navy Sea Base," Interfaces, INFORMS, vol. 41(3), pages 238-253, June.
    2. Paul A. Chircop & Timothy J. Surendonk & Menkes H. L. van den Briel & Toby Walsh, 2022. "On routing and scheduling a fleet of resource-constrained vessels to provide ongoing continuous patrol coverage," Annals of Operations Research, Springer, vol. 312(2), pages 723-760, May.
    3. Stephen E. Bechtold & Larry W. Jacobs, 1996. "The equivalence of general set‐covering and implicit integer programming formulations for shift scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 233-249, March.
    4. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    5. Ricardo Gatica & Pablo Miranda, 2011. "Special Issue on Latin-American Research: A Time Based Discretization Approach for Ship Routing and Scheduling with Variable Speed," Networks and Spatial Economics, Springer, vol. 11(3), pages 465-485, September.

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