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A Survey of Linear Cost Multicommodity Network Flows

Author

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  • Jeff L. Kennington

    (Southern Methodist University, Dallas, Texas)

Abstract

This exposition presents a state-of-the-art survey of results and algorithms for linear multicommodity network flow problems.

Suggested Citation

  • Jeff L. Kennington, 1978. "A Survey of Linear Cost Multicommodity Network Flows," Operations Research, INFORMS, vol. 26(2), pages 209-236, April.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:2:p:209-236
    DOI: 10.1287/opre.26.2.209
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    Cited by:

    1. Pengfei Zhang & Neng Fan, 2017. "Analysis of budget for interdiction on multicommodity network flows," Journal of Global Optimization, Springer, vol. 67(3), pages 495-525, March.
    2. Kaj Holmberg & Di Yuan, 2003. "A Multicommodity Network-Flow Problem with Side Constraints on Paths Solved by Column Generation," INFORMS Journal on Computing, INFORMS, vol. 15(1), pages 42-57, February.
    3. Kraft, Edwin R., 2002. "Scheduling railway freight delivery appointments using a bid price approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(2), pages 145-165, February.
    4. 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.
    5. Leo Liberti, 2015. "Optimization and sustainable development," Computational Management Science, Springer, vol. 12(3), pages 371-395, July.
    6. Chen, Y. L., 1995. "The minimal average cost flow problem," European Journal of Operational Research, Elsevier, vol. 81(3), pages 561-570, March.
    7. 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.
    8. Amy Cohn & Sarah Root & Alex Wang & Douglas Mohr, 2007. "Integration of the Load-Matching and Routing Problem with Equipment Balancing for Small Package Carriers," Transportation Science, INFORMS, vol. 41(2), pages 238-252, May.
    9. Jeffery L. Kennington & Mark W. Lewis, 2001. "The Path Restoration Version of the Spare Capacity Allocation Problem with Modularity Restrictions: Models, Algorithms, and an Empirical Analysis," INFORMS Journal on Computing, INFORMS, vol. 13(3), pages 181-190, August.
    10. Naga V. C. Gudapati & Enrico Malaguti & Michele Monaci, 2022. "Network Design with Service Requirements: Scaling-up the Size of Solvable Problems," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2571-2582, September.
    11. Richard D. McBride, 1998. "Advances in Solving the Multicommodity-Flow Problem," Interfaces, INFORMS, vol. 28(2), pages 32-41, April.
    12. Bennett, Derek P. & Yano, Candace A., 2004. "A decomposition approach for an equipment selection and multiple product routing problem incorporating environmental factors," European Journal of Operational Research, Elsevier, vol. 156(3), pages 643-664, August.
    13. Daeki Kim & Cynthia Barnhart & Keith Ware & Gregory Reinhardt, 1999. "Multimodal Express Package Delivery: A Service Network Design Application," Transportation Science, INFORMS, vol. 33(4), pages 391-407, November.
    14. Shiva Prakash Gupta & Urmila Pyakurel & Tanka Nath Dhamala, 2023. "Multi-commodity flow problem on lossy network with partial lane reversals," Annals of Operations Research, Springer, vol. 323(1), pages 45-63, April.
    15. Antonio Frangioni & Giorgio Gallo, 1999. "A Bundle Type Dual-Ascent Approach to Linear Multicommodity Min-Cost Flow Problems," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 370-393, November.
    16. Rina R. Schneur & James B. Orlin, 1998. "A Scaling Algorithm for Multicommodity Flow Problems," Operations Research, INFORMS, vol. 46(2), pages 231-246, April.
    17. Khodakaram Salimifard & Sara Bigharaz, 2022. "The multicommodity network flow problem: state of the art classification, applications, and solution methods," Operational Research, Springer, vol. 22(1), pages 1-47, March.
    18. Teodor Gabriel Crainic & Michel Gendreau & Judith M. Farvolden, 2000. "A Simplex-Based Tabu Search Method for Capacitated Network Design," INFORMS Journal on Computing, INFORMS, vol. 12(3), pages 223-236, August.
    19. Masri, H. & Krichen, S. & Guitouni, A., 2015. "A multi-start variable neighborhood search for solving the single path multicommodity flow problem," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 132-142.
    20. Barnett, Doug & Binkley, James K. & McCarl, Bruce A., 1984. "Port Elevator Capacity And National And World Grain Shipments," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 9(1), pages 1-13, July.
    21. Garg, Manish & Smith, J. Cole, 2008. "Models and algorithms for the design of survivable multicommodity flow networks with general failure scenarios," Omega, Elsevier, vol. 36(6), pages 1057-1071, December.
    22. Huseyin Topaloglu & Warren B. Powell, 2006. "Dynamic-Programming Approximations for Stochastic Time-Staged Integer Multicommodity-Flow Problems," INFORMS Journal on Computing, INFORMS, vol. 18(1), pages 31-42, February.
    23. Bita Tadayon & J. Cole Smith, 2014. "Algorithms for an Integer Multicommodity Network Flow Problem with Node Reliability Considerations," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 506-532, May.

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