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A Linear Programming Approach to the Total Movement of a Homogeneous Product

Author

Listed:
  • J. H. Conley

    (Matson Research Corporation, San Francisco, California)

  • R. S. Farnsworth

    (Matson Research Corporation, San Francisco, California)

  • E. Koenigsberg

    (Matson Research Corporation, San Francisco, California)

  • U. Wiersema

    (Matson Research Corporation, San Francisco, California)

Abstract

A linear programming formulation models the movement of a homogeneous product from an overseas origin through United States ports to over 400 inland destinations. The formulation allocates a fleet of over 50 ships of six types to routes between a group of overseas ports and up to seven United States ports. It takes advantage of geographical conditions and the absence of port capacity constraints to reduce the size of the problem by an order of magnitude and to speed computations. The decomposition principle can be applied in either of two ways.

Suggested Citation

  • J. H. Conley & R. S. Farnsworth & E. Koenigsberg & U. Wiersema, 1968. "A Linear Programming Approach to the Total Movement of a Homogeneous Product," Transportation Science, INFORMS, vol. 2(4), pages 289-302, November.
    • Handle: RePEc:inm:ortrsc:v:2:y:1968:i:4:p:289-302
    DOI: 10.1287/trsc.2.4.289
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