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

Author

Listed:
  • Bredström, David

    (Dept. of Mathematics, Linköpings universitet)

  • Rönnqvist, Mikael

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

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.

Suggested Citation

  • 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, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2007_007
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    File URL: http://hdl.handle.net/11250/164114
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    References listed on IDEAS

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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. Eveborn, Patrik & Flisberg, Patrik & Ronnqvist, Mikael, 2006. "Laps Care--an operational system for staff planning of home care," European Journal of Operational Research, Elsevier, vol. 171(3), pages 962-976, June.
    3. Bredström, David & Rönnqvist, Mikael, 2006. "Combined vehicle routing and scheduling with temporal precedence and synchronization constraints," Discussion Papers 2006/18, Norwegian School of Economics, Department of Business and Management Science.
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    Cited by:

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    2. Lorenzo Ros-McDonnell & Norina Szander & María Victoria de-la-Fuente-Aragón & Robert Vodopivec, 2019. "Scheduling Sustainable Homecare with Urban Transport and Different Skilled Nurses Using an Approximate Algorithm," Sustainability, MDPI, vol. 11(22), pages 1-14, November.
    3. Wagenvoort, M. & Bouman, P.C. & van Ee, M. & Lamballais Tessensohn, T. & Postek, K., 2025. "Exact and heuristic approaches for the ship-to-shore problem," European Journal of Operational Research, Elsevier, vol. 320(1), pages 115-131.
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    5. Norina Szander & Lorenzo Ros-McDonnell & María Victoria De-la-Fuente-Aragón & Robert Vodopivec, 2018. "Sustainable Urban Homecare Delivery with Different Means of Transport," Sustainability, MDPI, vol. 10(2), pages 1-12, February.

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    More about this item

    Keywords

    Routing; Scheduling; Synchronization; Branch and Price;
    All these keywords.

    JEL classification:

    • L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General

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