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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Lopez-Santana, E., Méndez, G., Franco, C.: Diseño de cadenas de distribución con demanda bajo incertidumbre: una aproximación de programación lineal difusa. Ingeniería 18, 68–84 (2013)
Shen, Z.-J.M., Daskin, M.S.: Trade-offs between customer service and cost in integrated supply chain design. Manuf. Serv. Oper. Manag. 7, 188–207 (2005)
Nam, N.C., Le An, T.H., Tao, P.D.: A branch and bound algorithm based on DC programming and DCA for strategic capacity planning in supply chain design for a new market opportunity. In: Waldmann, K.-H., Stocker, U.M. (eds.) Operations Research Proceedings 2006. Operations Research Proceedings, vol. 2006, pp. 515–520. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-69995-8_82
Yin, Y., Kaku, I., Tang, J., Zhu, J.: Supply chain design using decision analysis. In: Yin, Y., Kaku, I., Tang, J., Zhu, J. (eds.) Data Mining. Decision Engineering, pp. 121–132. Springer, London (2011). https://doi.org/10.1007/978-1-84996-338-1_7
Velásquez, R., Teresa Melo, M., Nickel, S.: An LP-based heuristic approach for strategic supply chain design. In: Haasis, H.-D., Kopfer, H., Schönberger, J. (eds.) Operations Research Proceedings 2005. Operations Research Proceedings, vol. 2006, pp. 167–172. Springer, Heidelberg (2006). https://doi.org/10.1007/978-3-540-69995-8_82
Seidel, T.: Rapid supply chain design by integrating modelling methods. In: Parry, G., Graves, A. (eds.) Build To Order, pp. 277–295. Springer, London (2008). https://doi.org/10.1007/978-1-84800-225-8_16
Liao, S.-H., Hsieh, C.-L.: Integrated location-inventory retail supply chain design: a multi-objective evolutionary approach. In: Deb, K., et al. (eds.) SEAL 2010. LNCS, vol. 6457, pp. 533–542. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-17298-4_57
Yan, H., Yu, Z., Edwin Cheng, T.C.: A strategic model for supply chain design with logical constraints: formulation and solution. Comput. Oper. Res. 30, 2135–2155 (2003)
Hammami, R., Frein, Y., Hadj-Alouane, A.B.: A strategic-tactical model for the supply chain design in the delocalization context: mathematical formulation and a case study. Int. J. Prod. Econ. 122, 351–365 (2009)
Talluri, S., Baker, R.C.: A multi-phase mathematical programming approach for effective supply chain design. Eur. J. Oper. Res. 141, 544–558 (2002)
Beamon, B.M.: Supply chain design and analysis. Int. J. Prod. Econ. 55, 281–294 (1998)
Jayaraman, V., Ross, A.: A simulated annealing methodology to distribution network design and management. Eur. J. Oper. Res. 144, 629–645 (2003)
Sahinidis, N.V.: Optimization under uncertainty: state-of-the-art and opportunities. In: Computers and Chemical Engineering, pp. 971–983 (2004)
Singh, A.R., Jain, R., Mishra, P.K.: Capacities-based supply chain network design considering demand uncertainty using two-stage stochastic programming. Int. J. Adv. Manuf. Technol. 69, 1–8 (2013)
Selim, H., Ozkarahan, I.: A supply chain distribution network design model: an interactive fuzzy goal programming-based solution approach. Int. J. Adv. Manuf. Technol. 36, 401–418 (2008)
Rao, K.N., Subbaiah, K.V., Singh, G.V.P.: Design of supply chain in fuzzy environment. J. Ind. Eng. Int. 9, 1–11 (2013)
Georgiadis, M.C., Tsiakis, P., Longinidis, P., Sofioglou, M.K.: Optimal design of supply chain networks under uncertain transient demand variations. Omega 39, 254–272 (2011)
Pan, F., Nagi, R.: Robust supply chain design under uncertain demand in agile manufacturing. Comput. Oper. Res. 37, 668–683 (2010)
Das, S.K., Edalatpanah, S.A., Mandal, T.: A proposed model for solving fuzzy linear fractional programming problem: numerical point of view. J. Comput. Sci. 25, 367–375 (2018)
Charnes, A., Cooper, W.W.: Programming with linear fractional functionals. Naval Res. Logist. Quart. 9, 181–186 (1962)
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).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-00350-0_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00349-4
Online ISBN: 978-3-030-00350-0
eBook Packages: Computer ScienceComputer Science (R0)