A fuzzy Bi-linear management model in reverse logistic chains
DOI:
https://doi.org/10.2298/YJOR131015037TKeywords:
reverse logistic chain, electrical and electronic waste, linear relaxation, fuzzy linear programmingAbstract
The management of the electrical and electronic waste (WEEE) problem in the uncertain environment has a critical effect on the economy and environmental protection of each region. The considered problem can be stated as a fuzzy non-convex optimization problem with linear objective function and a set of linear and non-linear constraints. The original problem is reformulated by using linear relaxation into a fuzzy linear programming problem. The fuzzy rating of collecting point capacities and fix costs of recycling centers are modeled by triangular fuzzy numbers. The optimal solution of the reformulation model is found by using optimality concept. The proposed model is verified through an illustrative example with real-life data. The obtained results represent an input for future research which should include a good benchmark base for tested reverse logistic chains and their continuous improvement.References
Audet, C., Hansen, P., Jaumard, B., Savard, G., "A branch and cut algorithm for no convex quadratic ally constrained quadratic programming", Mathematical Programming, 87 (1, ser A), (2000) 131-152.
de Brito, P.M., Dekker, R., "A Framework for Reverse Logistics", ERIM REPORT SERIES RESEARCH IN MANAGEMENT (ERS-2003-045-LIS), (2003) 1-29.
Chi, X., Streicher-Porte, M., Wang, M.Y.L., Reuter, M.A., "Informal electronic waste recycling: A sector review with special focus on China", Waste Management, 31 (2001) 731-742.
Galović, D. Multi-criteria optimization of the supply strategy in complex multi-level production-distribution system- PhD, The faculty of Mechanical Engineering, University of Belgrade, 1999.
Galović, D., "Novi fazi model za upravljanje globalnim lancem snabdevanja", Simpozijum o operacionim istraživanjima (SYMOPIS), Herceg Novi, (2003) 491-494.
Gaule, H., Gupta, A., Mungray, A.K., "Hazardas and management of E-Waste: A Review", International Conference on E-Waste Management in India A Sustainable Solution, Mumbai, India (2007) 14.
Guide, V.D.R., van Wassenhove, N.L., "The Reverse Supply Chain", Harvard Business Review, 80 (2) (2002) 25-26.
Hanjiang, Z., Hengwei, H., Reverse Logistics System of Waste Electronic and Electric Equipment, College of Economics and Trade, Hunan University, China, 2007.
http://www.tf.uns.ac.rs/tempusIV/documents/files/Book1_Sustainable_technologies_short.pdf
Klir, G.J., Folger, T., Fuzzy Sets, Uncertainty, and Information. Prentice Hall, Upper Saddle River, NJ., USA, 1988.
Klir, G., Yuan, B., Fuzzy sets and fuzzy logic, theory and applications. Prentice Hall, New Jersey, 1995.
Lootsma, F., A. Fuzzy Logic for Planning and Decision making, Kluwer Academic, Boston, USA, 1997.
Perron, S., Hansen, P., Le Ligabel, S., Mladenović, "Exact and heuristic solutions of the global supply chain problem with transfer pricing", European Journal of Operational Research, 202 (3) (2001) 864-879.
Prahinski, C., Kocabasoglu, C., "Empirical research opportunities in reverse supply chains", OMEGA-International Journal of Management Science, 34 (6) (2006) 519-532.
Puckett, J., Smith, T., Exporting harm: the high-tech trashing of Asia, The Basel Action Network (BAN), and Silicon Valley Toxics Coalition (SVTC), 2002.
Robinson, B.H., Vidmer, K., Puckett, S.M., "E-waste: An assessment of global production and environmental impacts", Science of the Total Environment, 408 (2009) 183-191.
Rogers, D.S., Tibben-Lembke, R.S., Going Backwards: reverse logistics trends and practices, Reverse Logistics Executive Council, Pittsburgh, PA, 1999.
Shelton, R., "E-Waste Recycling", Innovation and Empowerment. SNU-Tulsa Research Journal, 3 (1) (2011) 36-61.
Stock, J., Development and implementation of reverse logistics programs. Council of Logistics Management. Oak Brook, IL, 1998.
Tadić, B., Mitrović, R., Tadić, D., "Evidence PC amounts in the Republic Serbia-statistical assessment", Economic Annals, 169 (2006) 127-142.
Tanaka, H., Asai, K., "Fuzzy Linear Programming Problems with Fuzzy Numbers", Fuzzy Sets and Systems, 13 (1984) 1-10.
Vidal, J.C., Goetschalckx, M., "A global supply chain model with transfer pricing and transportation allocation", European Journal of Operational Research, 129 (1) (2001) 134-158.
Vujošević, M., Operaciona istraživanja-izabrana poglavlja, Fakultet organizacionih nauka, Beograd, 1999.
Zadeh, L., A., "The Concept of a Linguistic Variable and its Application to Approximate reasoning", Information Science, (1975) 8 (3), 199-249.
Zimmermann, H.J., Fuzzy set Theory and its applications, Kluwer Nijhoff Publishing: Boston, 2001.
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