The tolerance approach in multiobjective linear fractional programming

The tolerance approach in multiobjective linear fractional programming

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Article ID: iaor2002940
Country: Spain
Volume: 5
Issue: 2
Start Page Number: 241
End Page Number: 252
Publication Date: Jul 1997
Journal: TOP
Authors: , ,
Keywords: programming: linear, programming: multiple criteria
Abstract:

When solving a multiobjective programming problem by the weighted sum approach, weights represent the relative importance associated to the objectives. As these values are usually imprecise, it is important to analyze the sensitivity of the solution under possible deviations on the estimated values. In this sense, the tolerance approach provides a direct measure of how weights may vary simultaneously and independently from their estimated values while still retaining the same efficient solution. This paper provides an explicit expression to the maximum tolerance on weights in a multiobjective linear fractional programming problem when all the denominators are equal. An application is also presented to illustrate how the results may help the decision maker to choose a most satisfactory solution in a production problem.

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