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The Design of a Hierarchical Transportation Network with Transshipment Facilities

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  • John R. Current

    (The Ohio State University, Columbus, Ohio 43210)

Abstract

In this paper an integer linear program is formulated to identify the least cost two-level hierarchical network. This network must include a primary path from a predetermined starting node to a predetermined terminus node. In addition, each node not on the primary path must be connected to some node on that path via a secondary path. Transshipment facilities are required at the intersections of the primary and secondary paths. Consequently, the formulation directly considers the number and locations of transshipment facilities in determining the minimal cost network. A heuristic is presented which employs a K Shortest Path algorithm and a Minimum Spanning Tree algorithm. Heuristic results of two sample problems are presented and compared to the results obtained by solving the integer LP formulation.

Suggested Citation

  • John R. Current, 1988. "The Design of a Hierarchical Transportation Network with Transshipment Facilities," Transportation Science, INFORMS, vol. 22(4), pages 270-277, November.
    • Handle: RePEc:inm:ortrsc:v:22:y:1988:i:4:p:270-277
    DOI: 10.1287/trsc.22.4.270
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    Cited by:

    1. Eduardo Álvarez-Miranda & Ivana Ljubić & S. Raghavan & Paolo Toth, 2015. "The Recoverable Robust Two-Level Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 1-19, February.
    2. Martina Jakara & Nikolina Brnjac, 2023. "Foliated Transport Networks in Intermodal Freight Transport," Sustainability, MDPI, vol. 15(9), pages 1-13, April.
    3. Lin, Cheng-Chang & Chen, Sheu-Hua, 2004. "The hierarchical network design problem for time-definite express common carriers," Transportation Research Part B: Methodological, Elsevier, vol. 38(3), pages 271-283, March.
    4. J. Beasley & E. Nascimento, 1996. "The Vehicle Routing-Allocation Problem: A unifying framework," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 4(1), pages 65-86, June.
    5. Mesa, Juan A. & Brian Boffey, T., 1996. "A review of extensive facility location in networks," European Journal of Operational Research, Elsevier, vol. 95(3), pages 592-603, December.
    6. Cocking, Cara & Flessa, Steffen & Reinelt, Gerhard, 2012. "Improving access to health facilities in Nouna district, Burkina Faso," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 164-172.
    7. Masashi Miyagawa, 2014. "Optimal allocation of area in hierarchical road networks," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(2), pages 617-630, September.
    8. Masashi Miyagawa, 2009. "Optimal hierarchical system of a grid road network," Annals of Operations Research, Springer, vol. 172(1), pages 349-361, November.
    9. Gollowitzer, Stefan & Gouveia, Luis & Ljubić, Ivana, 2013. "Enhanced formulations and branch-and-cut for the two level network design problem with transition facilities," European Journal of Operational Research, Elsevier, vol. 225(2), pages 211-222.
    10. Obreque, Carlos & Donoso, Macarena & Gutiérrez, Gabriel & Marianov, Vladimir, 2010. "A branch and cut algorithm for the hierarchical network design problem," European Journal of Operational Research, Elsevier, vol. 200(1), pages 28-35, January.
    11. M-G Yoon & J Current, 2008. "The hub location and network design problem with fixed and variable arc costs: formulation and dual-based solution heuristic," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 80-89, January.
    12. Lin, Cheng-Chang, 2010. "The integrated secondary route network design model in the hierarchical hub-and-spoke network for dual express services," International Journal of Production Economics, Elsevier, vol. 123(1), pages 20-30, January.

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