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The berth allocation problem: a formulation reflecting time Window service deadlines

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  • Golias, Mihalis
  • Boile, Maria
  • Theofanis, Sotirios

Abstract

The berth-allocation problem (BAP) aims to optimally schedule and assign vessels to berthing areas along a quay. The vessels arrive at the port over a period of time and normally request service and departure within a time window. These time windows are usually determined through contractual agreements between the port operator and the carrier, in terms of time of departure after the vessel’s arrival at the port. Formulations presented in the current literature, reduce the time window to a point in time. In this paper the discrete dynamic BAP (DDBAP) is formulated as a linear MIP problem with the objective to simultaneously minimize the cost from vessels’ late departures (departure past the time window) and maximize the benefits from vessels’ early departures and timely departures (departure before and within the requested time window). Two different models along with numerical examples and a comparison to other BAP models are presented to demonstrate the benefits of the proposed berth scheduling formulation.

Suggested Citation

  • Golias, Mihalis & Boile, Maria & Theofanis, Sotirios, 2007. "The berth allocation problem: a formulation reflecting time Window service deadlines," 48th Annual Transportation Research Forum, Boston, Massachusetts, March 15-17, 2007 207826, Transportation Research Forum.
    • Handle: RePEc:ags:ndtr07:207826
    DOI: 10.22004/ag.econ.207826
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    1. Nishimura, Etsuko & Imai, Akio & Papadimitriou, Stratos, 2001. "Berth allocation planning in the public berth system by genetic algorithms," European Journal of Operational Research, Elsevier, vol. 131(2), pages 282-292, June.
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    3. Imai, Akio & Sun, Xin & Nishimura, Etsuko & Papadimitriou, Stratos, 2005. "Berth allocation in a container port: using a continuous location space approach," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 199-221, March.
    4. Gerald G. Brown & Kelly J. Cormican & Siriphong Lawphongpanich & Daniel B. Widdis, 1997. "Optimizing submarine berthing with a persistence incentive," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(4), pages 301-318, June.
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