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Fuzzy Stochastic Optimization pp 117–147Cite as

Recourse-Based Fuzzy Random Facility Location Model with Fixed Capacity

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Abstract

Facility location selection is one of the most critical and strategic issues in supply chain design and management; it exhibits a significant impact on market share and profitability. Roughly speaking, the objective of a facility location strategy is to maximize the profit or minimize the costs, by determining which plants to open given a set of potential plant locations. Depending on whether or not taking the uncertainty into consideration, the location problems can be classified into two groups: deterministic location problems, and location problems with uncertain parameters. To the former, several qualitative techniques of nonlinear programming methods as well as heuristics have been proposed, such as those presented by Akinc and Khumawala [3], Badri [5], Dupont [31], Ernst and Krishnamoorthy [34], Schutz et al. [130], and Lozano et al. [102].

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References

  1. U. Akinc and B.M. Khumawala, An efficient branch and bound algorithm for the capacitated warehouse location problem, Management Science, vol. 23 no.6, pp. 585–594, 1977.

    Article  MATH  MathSciNet  Google Scholar 

  2. M.A. Badri, Combining the analytic hierarchy process and goal programming for global facility location-allocation problem, International Journal of Production Economics, vol. 62, no. 3, pp. 237–248, 1999.

    Article  Google Scholar 

  3. O. Berman and Z. Drezner, A probabilistic one-centre location problem on a network, Journal of the Operational Research Society, vol. 54, no. 88, pp. 871–877, 2003.

    Article  MATH  Google Scholar 

  4. J.R. Birge and F.V. Louveaux, Introduction to Stochastic Programming, Springer-Verlag, New York, 1997.

    MATH  Google Scholar 

  5. C. Blum and M. Dorigo, The hyper-cube framework for ant colony optimization, IEEE Transactions on Systems, Man, and CyberneticsPart B, vol. 34, no. 2, pp. 1161–1172, 2004.

    Article  Google Scholar 

  6. S.-M. Chen and J.-Y. Wang, Document retrieval using knowledge-based fuzzy information retrieval techniques, IEEE Transactions on Systems, Man and Cybernetics, vol. 25, no. 5, pp. 793–803, 1995.

    Article  Google Scholar 

  7. W.-N. Chen and J. Zhang, An ant colony optimization approach to a grid workflow scheduling problem with various QoS requirements, IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews, vol. 39, no. 1, pp. 29–43, 2009.

    Article  Google Scholar 

  8. T.Q. Deng and H.J.A.M. Heijmans, Gray-scale morphology based on fuzzy logic, Journal of Mathematical Imaging and Vision, vol. 16, no. 2, pp. 155–171, 2002.

    Article  MATH  MathSciNet  Google Scholar 

  9. M. Dorigo, Optimization, Learning and Natural Algorithms, Ph.D. dissertation, Dipartimento di Elettronica, Politecnico di Milano, Milan, Italy, 1992.

    Google Scholar 

  10. D. Duffie and J. Pan, An overview of value-at-risk, Journal of Derivatives, vol. 4, no. 3, pp. 7–49, 1997.

    Article  Google Scholar 

  11. A.O.C. Elegbede, C. Chu, K.H. Adjallah and F. Yalaoui, Reliability allocation through cost minimization, IEEE Transactions on Reliability, vol. 52, no. 1, pp. 106–111, 2003.

    Article  Google Scholar 

  12. F.F. Hao and R. Qin, Variance formulas for trapezoidal fuzzy random variables, Journal of Uncertain Systems, vol. 3, no. 2, pp. 145–160, 2009.

    Google Scholar 

  13. X. Huang, Two new models for portfolio selection with stochastic returns taking fuzzy information, European Journal of Operational Research, vol. 180, no. 1, pp. 396–405, 2007.

    Article  MATH  MathSciNet  Google Scholar 

  14. C.W. Hwang, A theorem of renewal process for fuzzy random variables and its application, Fuzzy Sets and Systems vol. 116, no. 2, pp. 237–244, 2000.

    Article  MATH  MathSciNet  Google Scholar 

  15. P. Jorion, Value at Risk: The New Benchmark for Controlling Market Risk, McGraw-Hill, New York, 2000.

    Google Scholar 

  16. H. Kwakernaak, Fuzzy random variables–I. Definitions and theorems, Information Sciences, vol. 15, no. 1, pp. 1–29, 1978.

    Google Scholar 

  17. Y. K. Liu and S. Wang, A credibility approach to the measurability of fuzzy random vectors, International Journal of Natural Sciences & Technology, vol. 1, no. 1, pp. 111–118, 2006.

    Google Scholar 

  18. Y. K. Liu, Fuzzy programming with recourse, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems 13 (4) (2005) 381–413.

    Article  MATH  Google Scholar 

  19. Y.K. Liu and J. Gao, The independence of fuzzy variables with applications to fuzzy random optimization, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, vol.15, no.2, pp.1–19, 2007.

    Article  MATH  MathSciNet  Google Scholar 

  20. Y.K. Liu, Z.Q. Liu and J. Gao, The modes of convergence in the approximation of fuzzy random optimization problems, Soft Computing, vol. 13, no. 2, pp. 117–125, 2009.

    Article  MATH  Google Scholar 

  21. M.K. Luhandjula, On possibilistic linear programming, Fuzzy Sets and Systems, vol. 18, pp. 15–30, 1986.

    Article  MATH  MathSciNet  Google Scholar 

  22. M.L. Puri and D.A. Ralescu, Fuzzy random variables, Journal of Mathematical Analysis & Applications, vol. 114, no. 2, pp. 409–422, 1986.

    Article  MATH  MathSciNet  Google Scholar 

  23. A. Ratnweera, S.K. Halgamuge and H.C. Watson, Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients, IEEE Transactions on Evolutionary Computation, vol. 8, no. 3, pp. 240–255, 2004.

    Article  Google Scholar 

  24. L.C. Thomas, Replacement of systems and components in renewal decision problems, Operations Research, vol. 33, no. 2, pp. 404–411, 1985.

    Article  MATH  Google Scholar 

  25. T.L. Urban, Inventory models with inventory-level-dependent demand: A comprehensive review and unifying theory, European Journal of Operational Research, vol. 162, no. 3, pp. 792–804, 2005.

    Article  MATH  Google Scholar 

  26. S. Wang, Y.-K. Liu and J. Watada, Fuzzy random renewal process with queueing applications, Computers & Mathematics with Applications, vol.57, no.7, pp. 1232–1248, 2009.

    Article  MATH  MathSciNet  Google Scholar 

  27. S. Wang, and J. Watada, T-norm-based limit theorems for fuzzy random variables, Journal of Intelligent & Fuzzy Systems, vol.21, no.4, pp.233–242, 2010.

    MATH  MathSciNet  Google Scholar 

  28. M. Wen and K. Iwamura, Fuzzy facility location-allocation problem under the Hurwicz criterion, European Journal of Operational Research, vol. 184, no. 2, pp. 627–635, 2008.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Waseda University, Hibikino, Wakamatsu-ku, Kitakyushu-City 2-7, Fukuoka, Japan

    Shuming Wang & Junzo Watada

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  1. Shuming Wang
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  2. Junzo Watada
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Wang, S., Watada, J. (2012). Recourse-Based Fuzzy Random Facility Location Model with Fixed Capacity. In: Fuzzy Stochastic Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9560-5_5

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  • DOI: https://doi.org/10.1007/978-1-4419-9560-5_5

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  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-9559-9

  • Online ISBN: 978-1-4419-9560-5

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