Fuzzy Mathematical Modeling Of Distribution Network Through Location Allocation Model In A Three-level Supply Chain Design


Mohsen Momeni Tabar - Karaj Islamic Azad University, Faculty of Engineering, Department of Industrial Engineering, Karaj, Iran.
Navid Akar - Young Researchers Club, Karaj Branch, Islamic Azad University, Karaj, Iran.
Danial Zaghi - Karaj Islamic Azad University, Faculty of Engineering, Department of Industrial Engineering, Karaj, Iran.
Hamid Reza Feili - Alzahra University, Faculty of Engineering, Department of Industrial Engineering, Tehran, Iran.
Mitra Ghaderi - Department of Agriculture Engineering, Payam nor university, Garmsar, Iran.


Economic roles in all areas particularly in the steel industry have been grown dramatically. In this article, a new look to the field of mathematical modeling of distributed systems in terms of fuzzy location model and the theory of fuzzy has been allocated and an integer linear programming is used. The distribution system generally includes three levels so that the first level suppliers of iron ore, mining, steel and so on are placed. The second level involves locating distribution centers consider so that a limited number of distribution centers can serve as stations and the third level of local warehouses or factories in steel production are using the integer programming technique, a fuzzy mathematical model for distributed systems is presented. The second level of distribution center location selection techniques based on Fuzzy Analytical Hierarchy Process (FAHP) is proposed and its output as input in integer programming model is used. It's worth mentioning presented model is analyzed by software of maple 12.



[1] V. Marianov and C. ReVelle, European Journal of Operational Research 93, 110-120 (1996).
[2] H. Shavandi, H. Mahlouji, International Journal of Industrial Engineering 11, 364-376 (2004).
[3] J.A. Morenoperez, J.M. Moreno Vega, J.L. Verdegay, J. Fuzzy Sets and Systems 142, 393-405 (2004).
[4] H.J. Zimmermann, Fuzzy Set Theory and its Applications, Kluwer Academic Publisher, Boston (1996).
[5] V. Marianov and D. Serra, J. Regional Science 38, 401-424 (1998).
[6] F. Moghadasi, H. Taghizadehkakhki, J. Advances in Decision Sciences, 2011, doi:10.1155/2011/605629 (2011).
[7] H. Shavandi, H. Mahloujietal, Iranian Journal of Operations Research 13, 14-24 (2006).
[8] S.S. Syam, J. Computers & Operations Research 35, 2248-2265 (2008).
[9] F. Amir, J. Economics and Behavioral Studies 3, 287-295 (2011).
[10] M.T. Melo, S. Nickel, F. Saldanha-da-Gama, European Journal of Operational Research 196, 401–12 (2009).
[11] W. Dullaert, O. Braysy, M. Goetschalckx, B. Raa, European Journal of Transport and Infrastructure Research 7, 73–91 (2007).
[12] L.V. Snyder, J. Transactions 38, 547–564 (2006).
[13] R. ZanjiraniFarahani, M. SteadieSeifi, N. Asgari, J. Applied Mathematical Modelling 34, 1689–1709 (2010).
[14] H. Rajabalipour Cheshmehgaz, M. IshakDesa, A. Wibowo, J. Intelligent Manufacturing DOI 10.1007/s10845-011-0584-7 (2011).
[15] A. Amiri, European Journal of Operational Research 171, 567–76 (2006).
[16] F. Altiparmak, M. Gen, L. Lin, T. Paksoy, J. Computers and Industrial Engineering 51, 197–216 (2006).
[17] P.N. Thanh, N. Bostel, O. Pe´ton, International Journal of Production Economics 113, 678–693 (2008).
[18] F. Pan, R. Nagi, J. Computers and Operations Research 37, 668–683 (2010).
[19] T.L. Saaty, the Analytic Hierarchy Process, McGraw-Hill, New York (1980).
[20] T.C. Wang, Y.H. Chen, International Journal of Management Science 35, 384–388 (2007).
[21] N.Y. Secme, A. BayrakdarogĖ˜lu, C. Kahraman, J. Experts Systems and Applications 36, 11699–11709 (2009).
[22] C. Kahraman, U. Cebeci, Z. Ulukan, J. Logistics Information Management 16, 382–394 (2003).
[23] P.M.J. Laarhoven, W. Pedrycz, J. Fuzzy Sets and Systems 11, 229–241 (1983).
[24] J.J. Buckley, J. Fuzzy Sets and Systems 17, 233–247 (1985).
[25] D.Y. Chang, European Journal of Operational Research 95, 649–655 (1996).
[26] C. Kahraman, Z. Ulukan, E. Tolga, a Fuzzy Weighted Evaluation Method Using Objective and Subjective Measures. Proceedings of the International ICSC Symposium on Engineering of Intelligent Systems, (1998).
[27] O. Kulak, C. Kahraman, J. Information Sciences 170, 191–210 (2005)