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The enumeration of all efficient solutions for a linear multiple‐objective transportation problem

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  • Heinz Isermann

Abstract

An algorithm is presented by which the set of all efficient solutions for a linear multiple‐objective transportation problem can be enumerated. First the algorithm determines an initial efficient basic solution. In a second step all efficient basic solutions are enumerated. Finally, the set of all efficient solutions is constructed as a union of a minimal number of convex sets of efficient solutions. The algorithm is illustrated by a numerical example.

Suggested Citation

  • Heinz Isermann, 1979. "The enumeration of all efficient solutions for a linear multiple‐objective transportation problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(1), pages 123-139, March.
    • Handle: RePEc:wly:navlog:v:26:y:1979:i:1:p:123-139
    DOI: 10.1002/nav.3800260112
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    Cited by:

    1. Strijbosch, L.W.G. & van Doorne, A.G.M. & Selen, W.J., 1990. "A simplified MOLP algorithm : The MOLP-S procedure," Other publications TiSEM be36bc9e-0563-472f-ad4e-d, Tilburg University, School of Economics and Management.
    2. Gupta, Pankaj & Mehlawat, Mukesh Kumar & Aggarwal, Usha & Charles, V., 2021. "An integrated AHP-DEA multi-objective optimization model for sustainable transportation in mining industry," Resources Policy, Elsevier, vol. 74(C).

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