Special Issue on Latin-American Research: A Time Based Discretization Approach for Ship Routing and Scheduling with Variable Speed View Full Text


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Article Info

DATE

2011-09

AUTHORS

Ricardo A. Gatica, Pablo A. Miranda

ABSTRACT

In this paper we develop a network based model for the routing and scheduling of a heterogeneous tramp fleet. The objective of the problem is to serve a known set of single trip cargo contracts, observing time window constraints at both origin and destination of cargoes, while minimizing total operating cost. A distinctive aspect of the methodology is that time windows for picking and delivering cargoes are discretized. This approach allows for a broad variety of features and practical constraints to be implicitly included in the model. In particular, we consider problems where navigation speed can be used to control fuel consumption, which is a main operating cost in ocean shipping. We performed a computational study on three set of fifteen problem instances each, involving 30, 40 and 50 cargoes per instance, respectively. Each problem instance was solved with two fleet sizes, three levels of discretization, and with constant and variable speed. The numerical results show that our model presents a much better trade-off between solution quality and computing time than a similar constant speed continuous model. For example, discretizing the time windows in as few as 3 points, we obtained solutions that in average were no more than 0,8% worse than the best solution found by the continuous model. Computing time, on the other side, decreased in at least two orders of magnitude. The results also confirm that significant benefits might be obtained by incorporating the navigation speed as a controllable variable in the model. More... »

PAGES

465-485

References to SciGraph publications

  • 1995-12. Routing problems: A bibliography in ANNALS OF OPERATIONS RESEARCH
  • 2007-09. Ship routing and scheduling with flexible cargo sizes in JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
  • 1982-11. The Effect of Oil Price on the Optimal Speed of Ships in JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
  • 2006-09. Travel Time Reliability in Vehicle Routing and Scheduling with Time Windows in NETWORKS AND SPATIAL ECONOMICS
  • 1998-06. A method for solving ship routing problemswith inventory constraints in ANNALS OF OPERATIONS RESEARCH
  • 2000-07. A combined ship scheduling and allocation problem in JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
  • 2006-09. Optimal Routing for Maximizing the Travel Time Reliability in NETWORKS AND SPATIAL ECONOMICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11067-010-9132-9

    DOI

    http://dx.doi.org/10.1007/s11067-010-9132-9

    DIMENSIONS

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