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A MILP approach combined with clustering to solve a special petrol station replenishment problem

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  • Tamás Hajba

    (Széchenyi István University)

  • Zoltán Horváth

    (Széchenyi István University)

  • Dániel Heitz

    (Morgan Stanley Hungary)

  • Bálint Psenák

    (MediaCom GmbH)

Abstract

Vehicle routing problem is a well-known optimization problem in the logistics area. A special case of the vehicle routing problem is the station replenishment problem in which different types of fuel types have to be transported from the depots to the customers. In this paper we study the replenishment problem of a European petrol company. The problem contains several additional constraints such as time windows, different sized compartment vehicles, and restrictions on the vehicles that can serve a customer. We introduce a mixed integer linear programming model of the problem. To reduce the size complexity of the MILP model the customers are clustered and, based on the clusters, additional constraints are added to the MILP model. The resulting MILP model is tested on real problems of the company. The results show that combining the MILP model with clustering improves the effectiveness of the model.

Suggested Citation

  • Tamás Hajba & Zoltán Horváth & Dániel Heitz & Bálint Psenák, 2024. "A MILP approach combined with clustering to solve a special petrol station replenishment 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. 32(1), pages 95-107, March.
    • Handle: RePEc:spr:cejnor:v:32:y:2024:i:1:d:10.1007_s10100-023-00849-1
    DOI: 10.1007/s10100-023-00849-1
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    References listed on IDEAS

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    Cited by:

    1. Péter Biró & Sándor Bozóki & Tamás Király & Alexandru Kristály, 2024. "Optimization methods and algorithms," 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. 32(1), pages 1-9, March.

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