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A Matheuristic Approach for the Multi-Depot Periodic Petrol Station Replenishment Problem

Author

Listed:
  • Pasquale Carotenuto

    (Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, 00185 Rome, Italy)

  • Stefano Giordani

    (Dipartimento di Ingegneria dell’Impresa, University of Rome “Tor Vergata”, 00133 Rome, Italy)

  • Alessio Salvatore

    (Dipartimento di Ingegneria dell’Impresa, University of Rome “Tor Vergata”, 00133 Rome, Italy
    Istituto di Analisi dei Sistemi ed Informatica “A. Ruberti”, Consiglio Nazionale delle Ricerche, 00185 Rome, Italy)

Abstract

Planning petrol station replenishment is an important logistics activity for all the major oil companies. The studied Multi-Depot Periodic Petrol Station Replenishment problem derives from a real case in which the company must replenish a set of petrol stations from a set of depots, during a weekly planning horizon. The company must ensure refuelling according to available visiting patterns, which can be different from customer to customer. A visiting pattern predefines how many times (days) the replenishment occurs during a week and in which visiting days a certain amount of fuel must be delivered. To fulfill the weekly demand of each petrol station, one of the available replenishment plans must be selected among a given set of visiting patterns. The aim is to minimize the total distance travelled by the fleet of tank trucks during the entire planning horizon. A matheuristic approach is proposed, based on the cluster-first route-second paradigm, to solve it. The proposed approach is thoroughly tested on a set of realistic random instances. Finally, a weekly large real instance is considered with 194 petrol stations and two depots.

Suggested Citation

  • Pasquale Carotenuto & Stefano Giordani & Alessio Salvatore, 2024. "A Matheuristic Approach for the Multi-Depot Periodic Petrol Station Replenishment Problem," Mathematics, MDPI, vol. 12(3), pages 1-19, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:3:p:416-:d:1327716
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    References listed on IDEAS

    as
    1. Nasr Al-Hinai & Chefi Triki, 2020. "A two-level evolutionary algorithm for solving the petrol station replenishment problem with periodicity constraints and service choice," Annals of Operations Research, Springer, vol. 286(1), pages 325-350, March.
    2. Cornillier, Fabien & Boctor, Fayez F. & Laporte, Gilbert & Renaud, Jacques, 2008. "A heuristic for the multi-period petrol station replenishment problem," European Journal of Operational Research, Elsevier, vol. 191(2), pages 295-305, December.
    3. W L Ng & S C H Leung & J K P Lam & S W Pan, 2008. "Petrol delivery tanker assignment and routing: a case study in Hong Kong," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(9), pages 1191-1200, September.
    4. F Cornillier & F F Boctor & G Laporte & J Renaud, 2008. "An exact algorithm for the petrol station replenishment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 607-615, May.
    5. Cornillier, Fabien & Boctor, Fayez & Renaud, Jacques, 2012. "Heuristics for the multi-depot petrol station replenishment problem with time windows," European Journal of Operational Research, Elsevier, vol. 220(2), pages 361-369.
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