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A continuous approximation model for time definite many-to-many transportation

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  • Campbell, James F.

Abstract

Time definite freight transportation carriers provide very reliable scheduled services between origin and destination terminals. They seek to reduce transportation costs through consolidation of shipments at hubs, but are restricted by the high levels of service to provide less circuitous routings. This paper develops a continuous approximation model for time definite transportation from many origins to many destinations. We consider a transportation carrier serving a fixed geographic region in which demand is modeled as a continuous distribution and time definite service levels are imposed by limiting the maximum travel distance via the hub network. Analytical expressions are developed for the optimal number of hubs, hub locations, and transportation costs. Computational results for an analogous discrete demand model are presented to illustrate the behavior observed with the continuous approximation models.

Suggested Citation

  • Campbell, James F., 2013. "A continuous approximation model for time definite many-to-many transportation," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 100-112.
    • Handle: RePEc:eee:transb:v:54:y:2013:i:c:p:100-112
    DOI: 10.1016/j.trb.2013.04.002
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    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.
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    9. Ghaffarinasab, Nader & Kara, Bahar Y. & Campbell, James F., 2022. "The stratified p-hub center and p-hub maximal covering problems," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 120-148.
    10. Yu-Chung Tsao & Qinhong Zhang & Tsung-Hui Chen, 2016. "Multi-item distribution network design problems under volume discount on transportation cost," International Journal of Production Research, Taylor & Francis Journals, vol. 54(2), pages 426-443, January.

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