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Investigating the use of metaheuristics for solving single vehicle routing problems with time-varying traversal costs

Author

Listed:
  • K Harwood

    (Cardiff University, Wales, UK)

  • C Mumford

    (Cardiff University, Wales, UK)

  • R Eglese

    (Lancaster University Management School, Lancaster, UK)

Abstract

Metaheuristic algorithms, such as simulated annealing and tabu search, are popular solution techniques for vehicle routing problems (VRPs). These approaches rely on iterative improvements to a starting solution, involving slight alterations to the routes (ie, neighbourhood moves), moving a node to a different part of a solution, swapping nodes or inverting sections of a tour, for example. When working with standard VRPs, where the costs of the arcs do not vary with advancing time, evaluating changes to the total cost following a neighbourhood move is a simple process: simply subtract the cost of the links removed from the solution and add the costs for the new links. When a time-varying aspect (eg, congestion) is included in the costs, these calculations become estimations rather than exact values. This paper focuses on a single vehicle routing problem, similar to the Travelling Salesman Problem, and investigates the potential for using estimation methods on simple models with time-variant costs, mimicking the effects of road congestion.

Suggested Citation

  • K Harwood & C Mumford & R Eglese, 2013. "Investigating the use of metaheuristics for solving single vehicle routing problems with time-varying traversal costs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(1), pages 34-47, January.
    • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:1:p:34-47
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    Citations

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    Cited by:

    1. Schmidt, Carise E. & Silva, Arinei C.L. & Darvish, Maryam & Coelho, Leandro C., 2023. "Time-dependent fleet size and mix multi-depot vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 255(C).
    2. Merve Kayacı Çodur & Mustafa Yılmaz, 2020. "A time-dependent hierarchical Chinese postman problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 337-366, March.
    3. Olubusoye Olusanya Elisa & Korter Grace Oluwatoyin & Salisu Afees Adebare, 2016. "Modelling Road Traffic Crashes Using Spatial Autoregressive Model With Additional Endogenous Variable," Statistics in Transition New Series, Statistics Poland, vol. 17(4), pages 659-670, December.
    4. Qian, Jiani & Eglese, Richard, 2016. "Fuel emissions optimization in vehicle routing problems with time-varying speeds," European Journal of Operational Research, Elsevier, vol. 248(3), pages 840-848.
    5. Rincon-Garcia, Nicolas & Waterson, Ben & Cherrett, Tom J. & Salazar-Arrieta, Fernando, 2020. "A metaheuristic for the time-dependent vehicle routing problem considering driving hours regulations – An application in city logistics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 429-446.
    6. Nicolas Rincon-Garcia & Ben J. Waterson & Tom J. Cherrett, 2018. "Requirements from vehicle routing software: perspectives from literature, developers and the freight industry," Transport Reviews, Taylor & Francis Journals, vol. 38(1), pages 117-138, January.

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