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The congested multicommodity network design problem

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  • Paraskevopoulos, Dimitris C.
  • Gürel, Sinan
  • Bektaş, Tolga

Abstract

This paper studies a version of the fixed-charge multicommodity network design problem where in addition to the traditional costs of flow and design, congestion at nodes is explicitly considered. The problem is initially modeled as a nonlinear integer programming formulation and two solution approaches are proposed: (i) a reformulation of the problem as a mixed integer second order cone program to optimally solve the problem for small to medium scale problem instances, and (ii) an evolutionary algorithm using elements of iterated local search and scatter search to provide upper bounds. Extensive computational results on new benchmark problem instances and on real case data are presented.

Suggested Citation

  • Paraskevopoulos, Dimitris C. & Gürel, Sinan & Bektaş, Tolga, 2016. "The congested multicommodity network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 166-187.
    • Handle: RePEc:eee:transe:v:85:y:2016:i:c:p:166-187
    DOI: 10.1016/j.tre.2015.10.007
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    1. J Bauer & T Bektaş & T G Crainic, 2010. "Minimizing greenhouse gas emissions in intermodal freight transport: an application to rail service design," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 530-542, March.
    2. Andersen, Jardar & Crainic, Teodor Gabriel & Christiansen, Marielle, 2009. "Service network design with management and coordination of multiple fleets," European Journal of Operational Research, Elsevier, vol. 193(2), pages 377-389, March.
    3. J Liu & R K Ahuja & G Şahin, 2008. "Optimal network configuration and capacity expansion of railroads," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 911-920, July.
    4. A. Ouorou & P. Mahey & J.-Ph. Vial, 2000. "A Survey of Algorithms for Convex Multicommodity Flow Problems," Management Science, INFORMS, vol. 46(1), pages 126-147, January.
    5. Fosgerau, Mogens, 2011. "How a fast lane may replace a congestion toll," Transportation Research Part B: Methodological, Elsevier, vol. 45(6), pages 845-851, July.
    6. Laval, Jorge A. & Cho, Hyun W. & Muñoz, Juan C. & Yin, Yafeng, 2015. "Real-time congestion pricing strategies for toll facilities," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 19-31.
    7. Crainic, Teodor G. & Rousseau, Jean-Marc, 1986. "Multicommodity, multimode freight transportation: A general modeling and algorithmic framework for the service network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 20(3), pages 225-242, June.
    8. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    9. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2014. "The fleet size and mix pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 239-254.
    10. Samir Elhedhli & Huyu Wu, 2010. "A Lagrangean Heuristic for Hub-and-Spoke System Design with Capacity Selection and Congestion," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 282-296, May.
    11. Tirachini, Alejandro & Hensher, David A. & Rose, John M., 2014. "Multimodal pricing and optimal design of urban public transport: The interplay between traffic congestion and bus crowding," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 33-54.
    12. Hassan Hijazi & Pierre Bonami & Gérard Cornuéjols & Adam Ouorou, 2012. "Mixed-integer nonlinear programs featuring “on/off” constraints," Computational Optimization and Applications, Springer, vol. 52(2), pages 537-558, June.
    13. Franceschetti, Anna & Honhon, Dorothée & Van Woensel, Tom & Bektaş, Tolga & Laporte, Gilbert, 2013. "The time-dependent pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 265-293.
    14. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2007. "Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs," Operations Research, INFORMS, vol. 55(1), pages 146-157, February.
    15. Kaj Holmberg & Di Yuan, 2000. "A Lagrangian Heuristic Based Branch-and-Bound Approach for the Capacitated Network Design Problem," Operations Research, INFORMS, vol. 48(3), pages 461-481, June.
    16. Khaled, Abdullah A. & Jin, Mingzhou & Clarke, David B. & Hoque, Mohammad A., 2015. "Train design and routing optimization for evaluating criticality of freight railroad infrastructures," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 71-84.
    17. J. Enrique Fernández L. & Joaquín De Cea Ch & Ricardo Giesen E, 2004. "A strategic model of freight operations for rail transportation systems," Transportation Planning and Technology, Taylor & Francis Journals, vol. 27(4), pages 231-260, August.
    18. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2014. "A review of recent research on green road freight transportation," European Journal of Operational Research, Elsevier, vol. 237(3), pages 775-793.
    19. Teodor Crainic & Jacques-A. Ferland & Jean-Marc Rousseau, 1984. "A Tactical Planning Model for Rail Freight Transportation," Transportation Science, INFORMS, vol. 18(2), pages 165-184, May.
    20. Fan, Lei & Wilson, William W. & Tolliver, Denver, 2010. "Optimal network flows for containerized imports to the United States," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 735-749, September.
    21. Antonio Frangioni & Laura Galli & Maria Grazia Scutellà, 2015. "Delay-Constrained Shortest Paths: Approximation Algorithms and Second-Order Cone Models," Journal of Optimization Theory and Applications, Springer, vol. 164(3), pages 1051-1077, March.
    22. Ada Alvarez & José González-Velarde & Karim De-Alba, 2005. "Scatter Search for Network Design Problem," Annals of Operations Research, Springer, vol. 138(1), pages 159-178, September.
    23. Fan, Lei & Wilson, William W. & Dahl, Bruce, 2012. "Congestion, port expansion and spatial competition for US container imports," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1121-1136.
    24. Yao, Tao & Friesz, Terry L. & Wei, Mike Mingcheng & Yin, Yafeng, 2010. "Congestion derivatives for a traffic bottleneck," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1149-1165, December.
    25. J Andersen & M Christiansen, 2009. "Designing new European rail freight services," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(3), pages 348-360, March.
    26. Ilfat Ghamlouche & Teodor Gabriel Crainic & Michel Gendreau, 2003. "Cycle-Based Neighbourhoods for Fixed-Charge Capacitated Multicommodity Network Design," Operations Research, INFORMS, vol. 51(4), pages 655-667, August.
    27. Chen, Linxi & Yang, Hai, 2012. "Managing congestion and emissions in road networks with tolls and rebates," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 933-948.
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