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Advances in Operations Research
Volume 2011 (2011), Article ID 521351, 17 pages
http://dx.doi.org/10.1155/2011/521351
Research Article

Geometric Programming Approach to an Interactive Fuzzy Inventory Problem

Department of Mathematics, Silda Chandrasekhar College, Silda, West Bengal, Paschim Medinipur 721515, India

Received 10 April 2011; Accepted 20 July 2011

Academic Editor: Lars Mönch

Copyright © 2011 Nirmal Kumar Mandal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Sakawa and H. Yano, “An interactive fuzzy satisficing method for generalized multiobjective linear programming problems with fuzzy parameters,” Fuzzy Sets and Systems, vol. 35, no. 2, pp. 125–142, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. M. Sakawa and H. Yano, “Interactive fuzzy decision making for multi-objective non-linear programming using augmented minimax problems,” Fuzzy Sets and Systems, vol. 20, no. 1, pp. 31–41, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. L. A. Zadeh, “Fuzzy sets,” Information and Computation, vol. 8, pp. 338–353, 1965. View at Zentralblatt MATH
  4. R. E. Bellman and L. A. Zadeh, “Decision-making in a fuzzy environment,” Management Science, vol. 17, pp. 141–164, 1970.
  5. K. S. Park, “Fuzzy set theoretic interpretation of economic order quantity,” IEEE Transactions on Systems, Man and Cybernetics, vol. 17, no. 6, pp. 1082–1084, 1987.
  6. T. K. Roy and M. Maiti, “A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity,” European Journal of Operational Research, vol. 99, no. 2, pp. 425–432, 1997.
  7. H. Ishibuchi and H. Tanaka, “Multiobjective programming in optimization of the interval objective function,” European Journal of Operational Research, vol. 48, no. 2, pp. 219–225, 1990.
  8. R. J. Duffin, E. L. Peterson, and C. Zener, Geometric Programming: Theory and Application, John Wiley & Sons, New York, NY, USA, 1967.
  9. G. A. Kotchenberger, “Inventory models: optimization by geometric programming,” Decision Sciences, vol. 2, pp. 193–205, 1971.
  10. B. M. Worral and M. A. Hall, “The analysis of an inventory control model using Posynomial geometric programming,” International Journal of Production Research, vol. 20, pp. 657–667, 1982.
  11. M. O. Abuo-El-Ata, H. A. Fergany, and M. F. El-Wakeel, “Probabilistic multi-item inventory model with varying order cost under two restrictions: a geometric programming approach,” International Journal of Production Economics, vol. 83, no. 3, pp. 223–231, 2003. View at Publisher · View at Google Scholar
  12. H. Jung and C. M. Klein, “Optimal inventory policies for an economic order quantity model with decreasing cost functions,” European Journal of Operational Research, vol. 165, no. 1, pp. 108–126, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. N. K. Mandal, T. K. Roy, and M. Maiti, “Multi-objective fuzzy inventory model with three constraints: a geometric programming approach,” Fuzzy Sets and Systems, vol. 150, no. 1, pp. 87–106, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. S. T. Liu, “Using geometric programming to profit maximization with interval coefficients and quantity discount,” Applied Mathematics and Computation, vol. 209, no. 2, pp. 259–265, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  15. S. J. Sadjadi, M. Ghazanfari, and A. Yousefli, “Fuzzy pricing and marketing planning model: a possibilistic geometric programming approach,” Expert Systems with Applications, vol. 37, no. 4, pp. 3392–3397, 2010. View at Publisher · View at Google Scholar
  16. J. J. Buckley and E. Eslami, An Introduction to Fuzzy Logic and Fuzzy Sets, Fhysica, 2002.
  17. M. Sakawa, Fuzzy Sets and Interactive Multiobjective Optimization, Plenum Press, New York, USA, 1993.
  18. R. E. Wendell and D. N. Lee, “Efficiency in multiple objective optimization problems,” Mathematical Programming, vol. 12, no. 3, pp. 406–414, 1977. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  19. J. L. Kuester and J. H. Mize, Optimization Techniques with Fortran, McGraw-Hill, New York, NY, USA, 1973.
  20. H. J. Zimmermann, “Fuzzy programming and linear programming with several objective functions,” Fuzzy Sets and Systems, vol. 1, no. 1, pp. 46–55, 1978. View at Zentralblatt MATH