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A Fuzzy Linear Fractional Programming Approach to Design of Distribution Networks

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Applied Computer Sciences in Engineering (WEA 2018)

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.

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Acknowledgments

We thank Fair Isaac Corporation (FICO) for providing us with Xpress-MP licenses under the Academic Partner Program subscribed with Universidad Distrital Francisco Jose de Caldas (Colombia).

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Correspondence to Eduyn López-Santana .

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López-Santana, E., Franco, C., Figueroa-García, J.C. (2018). A Fuzzy Linear Fractional Programming Approach to Design of Distribution Networks. In: Figueroa-García, J., López-Santana, E., Rodriguez-Molano, J. (eds) Applied Computer Sciences in Engineering. WEA 2018. Communications in Computer and Information Science, vol 915. Springer, Cham. https://doi.org/10.1007/978-3-030-00350-0_9

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  • DOI: https://doi.org/10.1007/978-3-030-00350-0_9

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  • Online ISBN: 978-3-030-00350-0

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