Abstract
This paper presents a new class of fuzzy two-stage supply chain problems, in which transportation costs and demands are characterized by fuzzy variables with known possibility distributions. Since fuzzy parameters are often with infinite supports, the conventional optimization algorithms cannot be used to solve the proposed supply chain problem directly. To avoid this difficulty, an approximation method is developed to turn the original supply chain problem into a finite dimensional one. Generally, the approximating supply chain problem is neither convex nor linear. So, to solve the approximating supply chain problem, we design a hybrid algorithm by integrating approximation method, neural network (NN) and particle swarm optimization (PSO). Finally, one numerical example is presented to demonstrate the effectiveness of the designed algorithm.
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References
Geoffrion, A.M., Graves, G.W.: Multicommodity Distribution System Design by Benders Decomposition. Management Science 20, 822–844 (1974)
Brown, G.G., Graves, G.W., Honczarenko, M.D.: Design and Operation of a Muticommodity Production-Distribution System Using Primal Goal Decomposition. Management Science 33, 1469–1480 (1987)
Nozick, L.K., Turnquist, M.A.: Inventory, Transportation, Service Qulity and the Location of Distribution Centers. European Journal of Operational Research 129, 362–371 (2001)
Gutierrez, G.J., Kouvelis, P., Kurawala, A.A.: A Robustness Approach to Uncapacitated Network Design Problems. European Journal of Operational Research 94, 362–376 (1996)
Tsiakis, P., Shah, N., Pantelides, C.C.: Design of Multi-echelon Supply Chain Networks under Demand Uncertainty. Industrial & Engineering Chemistry Research 40, 3585–3604 (2001)
Santoso, T., Ahmed, S., Goetschalckx, M., Shapiro, A.: A Stochastic Programming Approach for Supply Chain Network Design under Uncertainty. European Journal of Operational Research 167, 96–115 (2005)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
Dubois, D., Prade, H.: Possibility Theory. Plenum Press, New York (1988)
Klir, G.J.: On Fuzzy-Set Interpretation of Possibility Theory. Fuzzy Sets and Systems 108, 263–273 (1999)
Liu, B.: Uncertainty Theory. Springer, Berlin (2004)
Liu, B., Liu, Y.K.: Expected Value of Fuzzy Variable and Fuzzy Expected Value Models. IEEE Transactions on Fuzzy Systems 10, 445–450 (2002)
Wang, S.M., Liu, Y., Dai, X.D.: On the Continuity and Absolute Continuity of Credibility Functions. Journal of Uncertain Systems 1, 185–200 (2007)
Chen, C.T., Lin, C.T., Huang, S.F.: A Fuzzy Approach for Supplier Evaluation and Selection in Supply Chain Management. International Journal of Production Economics 102, 289–301 (2006)
Petrovic, D., Xie, Y., Burnham, K., Petrovic, R.: Coordinated Control of Distribution Supply Chains in the Presence of Fuzzy Customer Demand. European Journal of Operational Research 185, 146–158 (2008)
Liu, Y.-K.: Fuzzy Programming with Recourse. International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems 13, 382–413 (2005)
Liu, Y.K., Zhu, X.: Capacitated Fuzzy Two-Stage Location-Allocation Problem. International Journal of Innovative Computing, Information and Control 3, 987–999 (2007)
Thomas, D.J., Griffin, P.M.: Coordinated Supply Chain Management. European Journal of Operational Research 94, 1–15 (1996)
Liu, Y.K.: Convergent Results about the Use of Fuzzy Simulation in Fuzzy Optimization Problems. IEEE Transactions on Fuzzy Systems 14, 295–304 (2006)
Kennedy, J., Eberhart, R.C.: Particle Swarm Optimization. In: Proc. of IEEE International Conference on Neural Networks, Piscataway, NJ, pp. 1942–1948 (1995)
Liu, Y.K., Gao, J.: The Independence of Fuzzy Variables with Applications to Fuzzy Random Optimization. International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems 15(suppl. 2), 1–20 (2007)
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Wang, G., Liu, Y., Zheng, M. (2009). Fuzzy Two-Stage Supply Chain Problem and Its Intelligent Algorithm. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01510-6_3
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DOI: https://doi.org/10.1007/978-3-642-01510-6_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01509-0
Online ISBN: 978-3-642-01510-6
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