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Design of multiple-vehicle delivery tours satisfying time constraints

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  • Langevin, André
  • Soumis, François

Abstract

We studied the following organization for the letter and parcel pick-up and delivery problem in an urban environment: the working day is divided in time periods during which each vehicle starts from a sorting center, travels to a precise area of the region, picks up and delivers letters and parcels, and then returns to the depot to have the collected material sorted out for delivery during the following period. The intent of this approach is to have each zone serviced by one vehicle only to facilitate the work of the dispatcher and the routing of each vehicle. We have developed a method of partitioning an urban region into zones so as to minimize the total number of vehicles used or the total distance traveled by all the vehicles. The first part of the method determines the zones and the average number of points to visit. Then, a first refinement of the method takes into account the daily variability of the demand in each zone, and a second refinement examines the advantage of allowing some overlapping of zones for the purpose of having an overloaded vehicle relieved by one from an adjacent zone.

Suggested Citation

  • Langevin, André & Soumis, François, 1989. "Design of multiple-vehicle delivery tours satisfying time constraints," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 123-138, April.
    • Handle: RePEc:eee:transb:v:23:y:1989:i:2:p:123-138
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    Cited by:

    1. Jabali, Ola & Gendreau, Michel & Laporte, Gilbert, 2012. "A continuous approximation model for the fleet composition problem," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1591-1606.
    2. Bonkhoff, K. & Hirtz, A. & Findenegg, G.H., 1991. "Interfacial tensions in the three-phase region of nonionic surfactant + water + alkane systems: Critical point effects and aggregation behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 172(1), pages 174-199.
    3. Mehdi Nourinejad & Matthew J. Roorda, 2017. "A continuous approximation model for the fleet composition problem on the rectangular grid," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 373-401, March.
    4. Baller, Annelieke C. & Dabia, Said & Dullaert, Wout E.H. & Vigo, Daniele, 2019. "The Dynamic-Demand Joint Replenishment Problem with Approximated Transportation Costs," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1013-1033.
    5. Liu, Bingbing & Guo, Xiaolong & Yu, Yugang & Zhou, Qiang, 2019. "Minimizing the total completion time of an urban delivery problem with uncertain assembly time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 163-182.
    6. Bard, Jonathan F. & Jarrah, Ahmad I., 2013. "Integrating commercial and residential pickup and delivery networks: A case study," Omega, Elsevier, vol. 41(4), pages 706-720.
    7. Anna Franceschetti & Ola Jabali & Gilbert Laporte, 2017. "Continuous approximation models in freight distribution management," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 413-433, October.
    8. A I Jarrah & J F Bard, 2011. "Pickup and delivery network segmentation using contiguous geographic clustering," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1827-1843, October.
    9. Diana, Marco & Dessouky, Maged M. & Xia, Nan, 2006. "A model for the fleet sizing of demand responsive transportation services with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 651-666, September.
    10. del Castillo, Jose M., 1998. "A heuristic for the traveling salesman problem based on a continuous approximation," Transportation Research Part B: Methodological, Elsevier, vol. 33(2), pages 123-152, April.
    11. Novaes, Antonio G. N. & Graciolli, Odacir D., 1999. "Designing multi-vehicle delivery tours in a grid-cell format," European Journal of Operational Research, Elsevier, vol. 119(3), pages 613-634, December.
    12. Bedeaux, D. & Koper, G.J.M. & Smeets, J., 1993. "Clustering and relaxation in oil-continuous microemulsions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 105-113.
    13. Lee, L.T. & Langevin, D. & Strey, R., 1990. "Relationship between microemulsion structure and surfactant layer bending elasticity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 210-219.
    14. Campbell, James F., 1995. "Using small trucks to circumvent large truck restrictions: Impacts on truck emissions and performance measures," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(6), pages 445-458, November.
    15. Franceschetti, Anna & Honhon, Dorothée & Laporte, Gilbert & Woensel, Tom Van & Fransoo, Jan C., 2017. "Strategic fleet planning for city logistics," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 19-40.
    16. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.

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