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A branch and price algorithm for the combined vehicle routing and scheduling problem with 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

    In this paper we present a branch and price algorithm for the combined vehicle routing and scheduling problem with synchronization constraints. The synchronization constraints are used to model situations when two or more customers need simultaneous service. The synchronization constraints impose a temporal dependency between vehicles, and it follows that a classical decomposition of the vehicle routing and scheduling problem is not directly applicable. With our algorithm, we have solved 44 problems to optimality from the 60 problems used for numerical experiments. The algorithm performs time window branching, and the number of subproblem calls is kept low by adjustment of the columns service times.

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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 2007/7.

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    Length: 21 pages
    Date of creation: 13 Feb 2007
    Date of revision:
    Handle: RePEc:hhs:nhhfms:2007_007

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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; Synchronization; Branch and Price;

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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 University Rotterdam.
    2. Bredström, David & Rönnqvist, Mikael, 2006. "Combined vehicle routing and scheduling with temporal precedence and synchronization constraints," Discussion Papers 2006/18, Department of Business and Management Science, Norwegian School of Economics.
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