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The freight routing problem of time-definite freight delivery common carriers

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  • Lin, Cheng-Chang

Abstract

The freight routing problem of time-definite common carriers is to minimize the sum of handling and transportation costs, while meeting service commitments and operational restrictions. There are two types of operational restrictions, capacity and directed in-tree rooted at each destination. Directed in-tree implicitly implies that there is a singular path for each origin-destination pair. The routing problem is an integrality constrained multi-commodity problem with side constraints. In this research, we study two approaches, the Lagrangian relaxation (LR) and implicit enumeration algorithm with [var epsilon]-optimality (IE-[var epsilon]). We use the third largest time-definite freight delivery common carrier in Taiwan for our numerical test. The result shows that the IE-[var epsilon] outperforms the LR, both quantitatively and qualitatively. In addition, two major shortcomings of the LR approach are shown: it may fail to find any feasible solutions even though they exist, and it cannot determine whether the feasible set is empty or not.

Suggested Citation

  • Lin, Cheng-Chang, 2001. "The freight routing problem of time-definite freight delivery common carriers," Transportation Research Part B: Methodological, Elsevier, vol. 35(6), pages 525-547, July.
    • Handle: RePEc:eee:transb:v:35:y:2001:i:6:p:525-547
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    Cited by:

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    4. Sheu Chen, 2010. "A Heuristic Algorithm for Hierarchical Hub-and-spoke Network of Time-definite Common Carrier Operation Planning Problem," Networks and Spatial Economics, Springer, vol. 10(4), pages 509-523, December.
    5. G. Guastaroba & M. G. Speranza & D. Vigo, 2016. "Intermediate Facilities in Freight Transportation Planning: A Survey," Transportation Science, INFORMS, vol. 50(3), pages 763-789, August.
    6. 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.
    7. Meuffels, W.J.M. & Fleuren, H.A. & Cruijssen, F. & van Dam, E.R., 2009. "Enriching the Tactical Network Design of Express Service Carriers with Fleet Scheduling Characteristics," Other publications TiSEM e146d914-9638-4ae0-9587-b, Tilburg University, School of Economics and Management.
    8. Estrada-Romeu, Miquel & Robusté, Francesc, 2015. "Stopover and hub-and-spoke shipment strategies in less-than-truckload carriers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 108-121.
    9. Lin, Cheng-Chang & Lin, Yu-Jen & Lin, Dung-Ying, 2003. "The economic effects of center-to-center directs on hub-and-spoke networks for air express common carriers," Journal of Air Transport Management, Elsevier, vol. 9(4), pages 255-265.
    10. 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.
    11. Meuffels, W.J.M., 2015. "The design of road and air networks for express service providers," Other publications TiSEM d3266cb8-bc55-41be-adc7-4, Tilburg University, School of Economics and Management.
    12. Greening, Lacy M. & Dahan, Mathieu & Erera, Alan L., 2023. "Lead-Time-Constrained Middle-Mile Consolidation Network Design with Fixed Origins and Destinations," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    13. 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.
    14. Ahmad Baubaid & Natashia Boland & Martin Savelsbergh, 2021. "The Value of Limited Flexibility in Service Network Designs," Transportation Science, INFORMS, vol. 55(1), pages 52-74, 1-2.
    15. Sarah Root & Amy Cohn, 2008. "A novel modeling approach for express package carrier planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(7), pages 670-683, October.
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