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A fuzzy linear fractional programming approach to design of distribution networks

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López-Santana E.
Franco Franco, Carlos Alberto
Figueroa-García J.C.

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2018

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Springer Verlag

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Abstract
This paper studies the distribution network design problem considering the uncertain information in the demand, capacities, costs and prices in a multi-product environment and multiple periods. We consider a fractional objective function that consist in maximize the ratio between total profit and total cost. We use a model that integrates a facility location problem with a distribution network problem with fuzzy constraints, technological coefficients, and costs. To solve the problem, we use a method that transform the fuzzy linear fractional programming model in an equivalent multi-objective linear fractional programming problem to calculate the upper, middle and lower bounds of the original problem. © 2018, Springer Nature Switzerland AG.
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Keywords
Costs , Electric power distribution , Fuzzy sets , Linear programming , Mathematical transformations , Product design , Facility location problem , Fuzzy-constraint , Linear fractional programming , Multi objective , Multi-products , Network design problems , Objective functions , Uncertain informations , Problem solving , Distribution network , Fuzzy linear fractional programming , Fuzzy sets , Linear fractional programming
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