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Linear lexicographic optimization

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Summary

The relevance of lexicographic optimization may be located in the field of multiple criteria decision making as well as in mathematical programming. In this paper we shall introduce the lexicographic simplex method and the underlying existence and duality theory. Some applications of lexicographic optimization will also be outlined.

Zusammenfassung

Dieser Beitrag beschäftigt sich mit dem linearen lexikographischen Optimierungsproblem. Es werden Anwendungen dargestellt sowie ein Lösungsverfahren und die ihm zugrunde liegende Existenz- und Dualitätstheorie vorgestellt.

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References

  1. Behringer FA (1972) Lexicographic quasiconcave multi-objective programming. ZOR 21:103–116

    Google Scholar 

  2. Charnes A, Cooper WW (1961) Management models and industrial applications of linear programming, vol I. John Wiley, New York

    Google Scholar 

  3. Dantzig GB (1963) Linear programming and extensions. University Press, Princeton, NJ

    Book  Google Scholar 

  4. Frieze AM (1975) Bottleneck linear programming. ORQ 26:871–874

    Article  Google Scholar 

  5. Garfinkel RS, Rao MR (1971) The bottleneck transportation problem. NRLQ 18:465–472

    Article  Google Scholar 

  6. Hammer JP (1969) Time-minimizing transportation problems. NRLQ 16:345–357

    Article  Google Scholar 

  7. Ignizio JP (1976) Goal programming and extensions. Lexington Books, Heath, Lexington, MA

    Google Scholar 

  8. Isermann H (1974) Lineare Vektoroptimierung. Diss. Universität Regensburg

  9. Lasdon LS (1970) Optimization theory for large systems. Macmillian, New York

    Google Scholar 

  10. Lee SM (1972) Goal programming for decision analysis. Auerbach, Philadelphia

    Google Scholar 

  11. Simmonard M (1972), Programmation linéaire, 2nd ed. Dunod, Paris

    Google Scholar 

  12. Srinivasan V, Thompson GL (1976) Algorithms for minimizing total cost, bottleneck time and bottleneck shipment in transportation problems. NRLQ 23:567–595

    Article  Google Scholar 

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Isermann, H. Linear lexicographic optimization. OR Spektrum 4, 223–228 (1982). https://doi.org/10.1007/BF01782758

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  • DOI: https://doi.org/10.1007/BF01782758

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