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Generalized Periodic Vehicle Routing and Maritime Surveillance

Author

Listed:
  • Maria Fleischer Fauske

    (Norwegian Defence Research Establishment, NO-2027 Kjeller, Norway;)

  • Carlo Mannino

    (SINTEF ICT Applied Mathematics, NO-0314 Oslo, Norway; University of Oslo, NO-0316 Oslo, Norway;)

  • Paolo Ventura

    (Istituto di Analisi dei Sistemi ed Informatica “A. Ruberti” (IASI) del CNR, 00185 Rome, Italy)

Abstract

Planning maritime surveillance activities in military operations and long-term defense planning is a huge task that is done manually today. Because maritime surveillance resources are extremely expensive, the potential cost savings of using optimization models to do such planning are large. In this paper, we developed a methodology for making maritime surveillance planning more efficient. The purpose of our tool is to find routes for the force elements involved in maritime surveillance operations, where the goal is to keep a maritime picture sufficiently updated. Our problem may be viewed as a variant of the classical periodic vehicle routing problem, but it differs from this problem in some major aspects. To cope with the specific issues of our problem, we introduce a novel time-indexed formulation, where each variable is associated with a set of contiguous time periods. We defined and implemented a branch-and-price procedure to solve this formulation to exact optimality. Moreover, to tackle instances of practical size, we defined and applied efficient and effective heuristic techniques for solving the pricing problem. We show how our approach can plan up to 72-hour realistic missions with routing ships.

Suggested Citation

  • Maria Fleischer Fauske & Carlo Mannino & Paolo Ventura, 2020. "Generalized Periodic Vehicle Routing and Maritime Surveillance," Transportation Science, INFORMS, vol. 54(1), pages 164-183, January.
  • Handle: RePEc:inm:ortrsc:v:54:y:2020:i:1:p:164-183
    DOI: 10.1287/trsc.2019.0899
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    References listed on IDEAS

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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti, 2011. "New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1269-1283, October.
    3. DYER, Martin E. & WOLSEY, Laurence A., 1990. "Formulating the single machine sequencing problem with release dates as a mixed integer program," LIDAM Reprints CORE 878, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Steven Harrod, 2011. "Modeling Network Transition Constraints with Hypergraphs," Transportation Science, INFORMS, vol. 45(1), pages 81-97, February.
    5. E. DYER, Martin & WOLSEY, Laurence A., 1990. "Formulating the single machine sequencing problem with release dates as a mixed integer program," LIDAM Reprints CORE 917, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Martinelli, Rafael & Pecin, Diego & Poggi, Marcus, 2014. "Efficient elementary and restricted non-elementary route pricing," European Journal of Operational Research, Elsevier, vol. 239(1), pages 102-111.
    7. Alberto Caprara & Matteo Fischetti & Paolo Toth, 2002. "Modeling and Solving the Train Timetabling Problem," Operations Research, INFORMS, vol. 50(5), pages 851-861, October.
    8. Pasquale Avella & Maurizio Boccia & Carlo Mannino & Igor Vasilyev, 2017. "Time-Indexed Formulations for the Runway Scheduling Problem," Transportation Science, INFORMS, vol. 51(4), pages 1196-1209, November.
    9. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    10. Grob, Marcel J.H.B., 2006. "Routing of platforms in a maritime surface surveillance operation," European Journal of Operational Research, Elsevier, vol. 170(2), pages 613-628, April.
    11. Sanjeeb Dash & Oktay Günlük & Andrea Lodi & Andrea Tramontani, 2012. "A Time Bucket Formulation for the Traveling Salesman Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 24(1), pages 132-147, February.
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