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Advances in Operations Research
Volume 2013 (2013), Article ID 973125, 13 pages
http://dx.doi.org/10.1155/2013/973125
Research Article

A Partial Backlogging Inventory Model for Deteriorating Item under Fuzzy Inflation and Discounting over Random Planning Horizon: A Fuzzy Genetic Algorithm Approach

1Department of Applied Sciences, Haldia Institute of Technology, Haldia, Purba Medinipur 721657, India
2Department of Mathematics, Sidho-Kanho-Birsha University, Purulia 723101, India
3Department of Mathematics, Bengal Engineering and Science University, Howrah 711103, India

Received 5 December 2012; Accepted 2 June 2013

Academic Editor: Koji Shingyochi

Copyright © 2013 Dipak Kumar Jana et al. 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. K. Maiti and M. Maiti, “Fuzzy inventory model with two warehouses under possibility constraints,” Fuzzy Sets and Systems, vol. 157, no. 1, pp. 52–73, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. A. A. Taleizadeh, S. T. A. Niaki, and R. Nikousokhan, “Constraint multiproduct joint-replenishment inventory control problem using uncertain programming,” Applied Soft Computing Journal, vol. 11, no. 8, pp. 5143–5154, 2011. View at Publisher · View at Google Scholar · View at Scopus
  3. D. K. Jana, K. Maity, and T. K. Roy, “A bi-fuzzy approach to a production-recycling-disposal inventory problem with environment pollution cost via genetic algorithm,” International Journal of Computer Applications, vol. 61, pp. 1–10, 2013. View at Google Scholar
  4. R. I. Levin, C. P. Mcaughlim, P. R. Lamone, and J. F. Kottas, Production Management/ Operations Management: (Contemporary Policy for Managing Operating System), McGraw-Hill, New York, NY, USA, 1972.
  5. A. Roy, M. K. Maiti, S. Kar, and M. Maiti, “Two storage inventory model with fuzzy deterioration over a random planning horizon,” Mathematical and Computer Modelling, vol. 46, no. 11-12, pp. 1419–1433, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. M. K. Maiti, “A fuzzy genetic algorithm with varying population size to solve an inventory model with credit-linked promotional demand in an imprecise planning horizon,” European Journal of Operational Research, vol. 213, no. 1, pp. 96–106, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. J. A. Buzacott, “Economic order quantities with inflation,” Operational Research Quarterly, vol. 26, no. 3, pp. 553–558, 1975. View at Google Scholar · View at Scopus
  8. R. B. Misra, “A study of inflationary effects on inventory systems,” Logistic Spectrum, vol. 9, pp. 260–268, 1975. View at Google Scholar
  9. H. Bierman and J. Thomas, “Inventory decisions under inflationary conditions,” Decision Sciences, vol. 8, pp. 151–155, 1997. View at Google Scholar
  10. R. B. Misra, “Note on optimal inventory management under inflation,” Naval Research Logistics Quarterly, vol. 26, no. 1, pp. 161–165, 1979. View at Google Scholar · View at Scopus
  11. M.-S. Chern, H.-L. Yang, J.-T. Teng, and S. Papachristos, “Partial backlogging inventory lot-size models for deteriorating items with fluctuating demand under inflation,” European Journal of Operational Research, vol. 191, no. 1, pp. 127–141, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. K. Maity and M. Maiti, “A numerical approach to a multi-objective optimal inventory control problem for deteriorating multi-items under fuzzy inflation and discounting,” Computers & Mathematics with Applications, vol. 55, no. 8, pp. 1794–1807, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. H. L. Yang, J. T. Teng, and M. S. Chern, “An inventory model under inflation for deteriorating items with stock-dependent consumption rate and partial backlogging shortages,” International Journal of Production Economics, vol. 123, pp. 8–19, 2010. View at Google Scholar
  14. Z. Michalewicz, Genetic Algorithms + Data Structures = Evolution Programs, Springer, Berlin, Germany, 1992. View at MathSciNet
  15. M. Bessaou and P. Siarry, “A genetic algorithm with real-value coding to optimize multimodal continuous functions,” Structural and Multidisciplinary Optimization, vol. 23, no. 1, pp. 63–74, 2001. View at Publisher · View at Google Scholar · View at Scopus
  16. M. Last and S. Eyal, “A fuzzy-based lifetime extension of genetic algorithms,” Fuzzy Sets and Systems, vol. 149, no. 1, pp. 131–147, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. F. Pezzella, G. Morganti, and G. Ciaschetti, “A genetic algorithm for the flexible job-shop scheduling problem,” Computers and Operations Research, vol. 35, no. 10, pp. 3202–3212, 2008. View at Publisher · View at Google Scholar · View at Scopus
  18. D. Dubois and H. Prade, Fuzzy Sets and Systems, Theory and Applications, vol. 144, Academic Press, New York, NY, USA, 1980. View at MathSciNet
  19. R. Narmatha Banu and D. Devaraj, “Multi-objective GA with fuzzy decision making for security enhancement in power system,” Applied Soft Computing, vol. 12, pp. 2756–2764, 2012. View at Google Scholar
  20. S. Kar, D. Das, and A. Roy, “A production-inventory model for a deteriorating item incorporating learning effect using genetic algorithm,” Advances in Operations Research, vol. 2010, Article ID 146042, 26 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. B. Liu and K. Iwamura, “Chance constrained programming with fuzzy parameters,” Fuzzy Sets and Systems, vol. 94, no. 2, pp. 227–237, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. A. Roy, M. K. Maiti, S. Kar, and M. Maiti, “An inventory model for a deteriorating item with displayed stock dependent demand under fuzzy inflation and time discounting over a random planning horizon,” Applied Mathematical Modelling, vol. 33, no. 2, pp. 744–759, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  23. B. Das, K. Maity, and M. Maiti, “A two warehouse supply-chain model under possibility/ necessity/credibility measures,” Mathematical and Computer Modelling, vol. 46, no. 3-4, pp. 398–409, 2007. View at Publisher · View at Google Scholar · View at Scopus