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Combined vehicle routing and scheduling with temporal precedence and synchronization constraints

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Author Info

  • Bredström, David

    ()
    (Dept. of Mathematics, Linköpings universitet)

  • Rönnqvist, Mikael

    ()
    (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

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    Abstract

    We present a mathematical programming model for the combined vehicle routing and scheduling problem with time windows and additional temporal constraints. The temporal constraints allow for imposing pairwise synchronization and pairwise temporal precedence between customer visits, independently of the vehicles. We describe some real world problems where the temporal constraints, in the literature, usually are remarkably simplified in the solution process, even though these constraints may significantly improve the solution quality and/or usability. We also propose an optimization based heuristic to solve real size instances. The results of numerical experiments substantiate the importance of the temporal constraints in the solution approach. We also make a computational study by comparing a direct usage of a commercial solver against the proposed heuristic where the latter approach can find high quality solutions within distinct time limits.

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    Bibliographic Info

    Paper provided by Department of Business and Management Science, Norwegian School of Economics in its series Discussion Papers with number 2006/18.

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    Length: 20 pages
    Date of creation: 01 Dec 2006
    Date of revision:
    Handle: RePEc:hhs:nhhfms:2006_018

    Contact details of provider:
    Postal: NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway
    Phone: +47 55 95 92 93
    Fax: +47 55 95 96 50
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    Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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    Related research

    Keywords: Routing; Scheduling; Temporal Constraints; Synchronization; Branch and Bound;

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    References

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    1. Freling, R. & Huisman, D. & Wagelmans, A.P.M., 2000. "Models and algorithms for Integration of Vehicle and Crew Scheduling," ERIM Report Series Research in Management ERS-2000-14-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
    2. Ioachim, Irina & Desrosiers, Jacques & Soumis, Francois & Belanger, Nicolas, 1999. "Fleet assignment and routing with schedule synchronization constraints," European Journal of Operational Research, Elsevier, vol. 119(1), pages 75-90, November.
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    Cited by:
    1. Bredström, David & Rönnqvist, Mikael, 2007. "A branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints," Discussion Papers 2007/7, Department of Business and Management Science, Norwegian School of Economics.

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