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Determining Cost vs. Time Pareto-Optimal Frontiers in Multi-Modal Transportation Problems

Author

Listed:
  • V. Srinivasan

    (Stanford University, Stanford, California)

  • G. L. Thompson

    (Carnegie-Mellon University, Pittsburgh, Pennsylvania)

Abstract

This paper provides a framework for choosing modes of transportation (rail, highway, air, etc.) by taking into account the conflicting objectives of minimizing total transportation costs and average shipment times. An efficient algorithm using the operator theory of parametric programming is presented for determining the Pareto-optimal or efficient curve denoting the minimum attainable value for the second objective for differing values of the first objective. The algorithm also provides the optimal routes, modes of transportation, and the corresponding shipping amounts for every efficient point.

Suggested Citation

  • V. Srinivasan & G. L. Thompson, 1977. "Determining Cost vs. Time Pareto-Optimal Frontiers in Multi-Modal Transportation Problems," Transportation Science, INFORMS, vol. 11(1), pages 1-19, February.
  • Handle: RePEc:inm:ortrsc:v:11:y:1977:i:1:p:1-19
    DOI: 10.1287/trsc.11.1.1
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    Cited by:

    1. Sanchita Sharma & Rita Malhotra & Shalini Arora, 2019. "Efficient triads related to transportation problem with common pivotal time," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 1353-1360, October.

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