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An exact algorithm for the petrol station replenishment problem

Author

Listed:
  • F Cornillier

    (Université Laval)

  • F F Boctor

    (Université Laval)

  • G Laporte

    (HEC Montréal)

  • J Renaud

    (Université Laval)

Abstract

In the petrol station replenishment problem (PSRP), the aim is to deliver petroleum products to petrol stations by means of an unlimited heterogeneous fleet of compartmented tank trucks. The problem consists of jointly determining quantities to deliver within a given interval, of allocating products to tank truck compartments and of designing delivery routes to stations. This article describes an exact algorithm which decomposes the PSRP into a truck loading problem and a routing problem. An algorithm which makes use of assignment, optimality tests and possibly standard ILP algorithm is proposed to solve the loading problem. The routing problem is handled using two different strategies, based either on a matching approach or on a column generation scheme. This algorithm was extensively tested on randomly generated data and on a real-life case arising in Eastern Quebec.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:5:d:10.1057_palgrave.jors.2602374
    DOI: 10.1057/palgrave.jors.2602374
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    References listed on IDEAS

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    1. van der Bruggen, Lambert & Gruson, Ruud & Salomon, Marc, 1995. "Reconsidering the distribution structure of gasoline products for a large oil company," European Journal of Operational Research, Elsevier, vol. 81(3), pages 460-473, March.
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    3. Gerald G. Brown & Carol J. Ellis & Glenn W. Graves & David Ronen, 1987. "Real-Time, Wide Area Dispatch of Mobil Tank Trucks," Interfaces, INFORMS, vol. 17(1), pages 107-120, February.
    4. Bukchin, Yossi & Sarin, Subhash C., 2006. "Discrete and dynamic versus continuous and static loading policy for a multi-compartment vehicle," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1329-1337, October.
    5. Gerald G. Brown & Glenn W. Graves, 1981. "Real-Time Dispatch of Petroleum Tank Trucks," Management Science, INFORMS, vol. 27(1), pages 19-32, January.
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