Open Access Articles

Fuzzy Mathematical Programming Approach for the Design of Integrated Production and Distribution Systems in Supply Chain Network

Authors

Reza Rasinojehdehi * Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Payam Chiniforooshan Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.

https://doi.org/10.22105/raise.v2i2.50

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Abstract

Supply Chain Management (SCM) is a mathematical approach to control the supply chain in an efficient way. Traditional SCM models require crisp data; however, in real-world problems the data available may often be imprecise like fuzzy numbers. In order to enter the fuzzy numbers into SCM models many attempts has been made by the researchers but in the existing approaches many information on uncertainties are lost. This paper represents a method which keeps the uncertainty of the data through the computation. In the presented method, keeping the uncertainty through the computation yields a multi objective nonlinear programming.

Keywords

Supply chain management Fuzzy numbers Multi objective nonlinear programming

References (24)

[1] Melo, M. T., Nickel, S., & Saldanha-Da-Gama, F. (2009). Facility location and supply chain management--A review. European journal of operational research, 196(2), 401–412. https://doi.org/10.1016/j.ejor.2008.05.007

[2] Gebennini, E., Gamberini, R., & Manzini, R. (2009). An integrated production–distribution model for the dynamic location and allocation problem with safety stock optimization. International journal of production economics, 122(1), 286–304 https://doi.org/10.1016/j.ijpe.2009.06.027

[3] Aliev, R. A., Fazlollahi, B., Guirimov, B. G., & Aliev, R. R. (2007). Fuzzy-genetic approach to aggregate production–distribution planning in supply chain management. Information sciences, 177(20), 4241–4255. https://doi.org/10.1016/j.ins.2007.04.012

[4] Fazel Zarandi, M. H., Fazel Zarani, M. M., & Saghiri, S. (2007). Five crisp and fuzzy models for supply chain of an automotive manufacturing system. International journal of management science and engineering management, 2(3), 178–196. https://doi.org/10.1080/17509653.2007.10671020

[5] Bhatnagar, R., Chandra, P., & Goyal, S. K. (1993). Models for multi-plant coordination. European journal of operational research, 67(2), 141–160. https://doi.org/10.1016/0377-2217(93)90058-

[6] Thomas, D. J., & Griffin, P. M. (1996). Coordinated supply chain management. European journal of operational research, 94(1), 1–15. https://doi.org/10.1016/0377-2217(96)00098-7

[7] Vidal, C. J., & Goetschalckx, M. (1997). Strategic production–distribution models: a critical review with emphasis on global supply chain models. European journal of operational research, 98(1), 1–18. https://doi.org/10.1016/S0377-2217(97)80080-X

[8] Beamon, B. M. (1998). Supply chain design and analysis: models and methods. International journal of production economics, 55(3), 281–294. https://doi.org/10.1016/S0925-5273(98)00079-6

[9] Erengüç, Ş. S., Simpson, N. C., & Vakharia, A. J. (1999). Integrated production/distribution planning in supply chains: An invited review. European journal of operational research, 115(2), 219–236. https://doi.org/10.1016/S0377-2217(98)90299-5

[10] Sarmiento, A. N. A. M., & Nagi, R. (1999). A review of integrated analysis of production-distribution systems. IIE transactions, 31(11), 1061–1074. https://doi.org/10.1080/07408179908969907

[11] Lee, Y. H., & Kim, S. H. (2000, December). Optimal production-distribution planning in supply chain management using a hybrid simulation-analytic approach. 2000 winter simulation conference proceedings (Cat. No. 00CH37165) (Vol. 2, pp. 1252-1259). IEEE. https://doi.org/10.1109/WSC.2000.899093

[12] Chandra, P., & Fisher, M. L. (1994). Coordination of production and distribution planning. European journal of operational research, 72(3), 503–517. https://doi.org/10.1016/0377-2217(94)90419-7

[13] Jayaraman, V., & Pirkul, H. (2001). Planning and coordination of production and distribution facilities for multiple commodities. European journal of operational research, 133(2), 394–408. https://doi.org/10.1016/S0377-2217(00)00033-3

[14] Lee, Y. H., & Kim, S. H. (2002). Production–distribution planning in supply chain considering capacity constraints. Computers & industrial engineering, 43(1), 169–190. https://doi.org/10.1016/S0360-8352(02)00063-3

[15] Petrovic, D., Roy, R., & Petrovic, R. (1998). Modelling and simulation of a supply chain in an uncertain environment. European journal of operational research, 109(2), 299–309. https://doi.org/10.1016/S0377-2217(98)00058-7

[16] Giannoccaro, I., Pontrandolfo, P., & Scozzi, B. (2003). A fuzzy echelon approach for inventory management in supply chains. European journal of operational research, 149(1), 185–196. https://doi.org/10.1016/S0377-2217(02)00441-1

[17] Xie, Y., Petrovic, D., & Burnham, K. (2006). A heuristic procedure for the two-level control of serial supply chains under fuzzy customer demand. International journal of production economics, 102(1), 37–50. https://doi.org/10.1016/j.ijpe.2005.01.016

[18] Chen, C.-T., Lin, C.-T., & Huang, S.-F. (2006). A fuzzy approach for supplier evaluation and selection in supply chain management. International journal of production economics, 102(2), 289–301. DOI:https://doi.org/10.1016/j.ijpe.2005.03.009

[19] Chang, S.-L., Wang, R.-C., & Wang, S.-Y. (2006). Applying fuzzy linguistic quantifier to select supply chain partners at different phases of product life cycle. International journal of production economics, 100(2), 348–359. https://doi.org/10.1016/j.ijpe.2005.01.002

[20] Xu, J., He, Y., & Gen, M. (2009). A class of random fuzzy programming and its application to supply chain design. Computers & industrial engineering, 56(3), 937–950. https://doi.org/10.1016/j.cie.2008.09.045

[21] Selim, H., Araz, C., & Ozkarahan, I. (2008). Collaborative production–distribution planning in supply chain: A fuzzy goal programming approach. Transportation research part e: logistics and transportation review, 44(3), 396–419. https://doi.org/10.1016/j.tre.2006.11.001

[22] Liang, T.-F., & Cheng, H.-W. (2009). Application of fuzzy sets to manufacturing/distribution planning decisions with multi-product and multi-time period in supply chains. Expert systems with applications, 36(2, Part 2), 3367–3377. https://doi.org/10.1016/j.eswa.2008.01.002

[23] Bilgen, B. (2010). Application of fuzzy mathematical programming approach to the production allocation and distribution supply chain network problem. Expert systems with applications, 37(6), 4488–4495. https://doi.org/10.1016/j.eswa.2009.12.062

[24] Mula, J., Peidro, D., & Poler, R. (2010). The effectiveness of a fuzzy mathematical programming approach for supply chain production planning with fuzzy demand. International journal of production economics, 128(1), 136–143. https://doi.org/10.1016/j.ijpe.2010.06.007

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Published 2025-05-21
Issue Vol. 2 No. 2 (2025): Research Annals of Industrial and Systems Engineering
Section Articles
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How to Cite

Rasinojehdehi, R. ., & Chiniforooshan, P. . (2025). Fuzzy Mathematical Programming Approach for the Design of Integrated Production and Distribution Systems in Supply Chain Network. Research Annals of Industrial and Systems Engineering, 2(2), 142-153. https://doi.org/10.22105/raise.v2i2.50

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