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An algorithm for solving bicriterial linear programmingproblems with parametrical coefficients in theobjective functions

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Abstract

The paper presents an algorithm for determining non-dominated basic solutions of thelinear programming problem with two objectives in which the coefficients depend in a linearway on a parameter, and a modified version of an algorithm for the non-parametric case.

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References

  1. C. Hwang and A. Masud, Multi Objective Decision Making–Methods and Applications, Lecture Notes in Economics and Mathematical Systems, Springer, Berlin/Heidelberg, New York, 1977.

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  2. D. Kuchta, Linear programming problem with interval and fuzzy coefficients in the objective functions; Doctoral Dissertation (in Polish), Technical University of Wroclaw, 1993.

  3. R. Steuer, Multiple Criteria Optimization, Wiley, New York, 1986.

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Chanas, S., Kuchta, D. An algorithm for solving bicriterial linear programmingproblems with parametrical coefficients in theobjective functions. Annals of Operations Research 81, 63–72 (1998). https://doi.org/10.1023/A:1018938030904

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  • DOI: https://doi.org/10.1023/A:1018938030904

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