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Railroad Blocking: A Network Design Application

Author

Listed:
  • Cynthia Barnhart

    (Center for Transportation Studies, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Hong Jin

    (Center for Transportation Studies, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Pamela H. Vance

    (Goizueta Business School, Emory University, Atlanta, Georgia 30322)

Abstract

In this study, we formulate the railroad blocking problems as a network design problem with maximum degree and flow constraints on the nodes and propose a heuristic Lagrangian relaxation approach to solve the problem. The newapproach decomposes the complicated mixed integer programming problem into two simple subproblems so that the storage requirement and computational effort are greatly reduced. A set of inequalities are added to one subproblem to tighten the lower bounds and facilitate generating feasible solutions. Subgradient optimization is used to solve the Lagrangian dual. An advanced dual feasible solution is generated to speed up the convergence of the subgradient method. The model is tested on blocking problems from a major railroad, and the results show that the blocking plans generated have the potential to reduce the railroad's operating costs by millions of dollars annually.

Suggested Citation

  • Cynthia Barnhart & Hong Jin & Pamela H. Vance, 2000. "Railroad Blocking: A Network Design Application," Operations Research, INFORMS, vol. 48(4), pages 603-614, August.
    • Handle: RePEc:inm:oropre:v:48:y:2000:i:4:p:603-614
    DOI: 10.1287/opre.48.4.603.12416
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    References listed on IDEAS

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    1. VAN ROY, Tony J. & WOLSEY, Laurence A., 1987. "Solving mixed integer programming problems using automatic reformulation," LIDAM Reprints CORE 782, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Tony J. Van Roy & Laurence A. Wolsey, 1987. "Solving Mixed Integer Programming Problems Using Automatic Reformulation," Operations Research, INFORMS, vol. 35(1), pages 45-57, February.
    3. 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.
    4. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    5. A. Balakrishnan & T. L. Magnanti & R. T. Wong, 1989. "A Dual-Ascent Procedure for Large-Scale Uncapacitated Network Design," Operations Research, INFORMS, vol. 37(5), pages 716-740, October.
    6. 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.
    7. Keaton, Mark H., 1989. "Designing optimal railroad operating plans: Lagrangian relaxation and heuristic approaches," Transportation Research Part B: Methodological, Elsevier, vol. 23(6), pages 415-431, December.
    8. Mark H. Keaton, 1992. "Designing Railroad Operating Plans: A Dual Adjustment Method for Implementing Lagrangian Relaxation," Transportation Science, INFORMS, vol. 26(4), pages 263-279, November.
    9. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    10. Bodin, Lawrence D. & Golden, Bruce L. & Schuster, Allan D. & Romig, William, 1980. "A model for the blocking of trains," Transportation Research Part B: Methodological, Elsevier, vol. 14(1-2), pages 115-120.
    11. Bruce W. Lamar & Yosef Sheffi & Warren B. Powell, 1990. "A Capacity Improvement Lower Bound for Fixed Charge Network Design Problems," Operations Research, INFORMS, vol. 38(4), pages 704-710, August.
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