Table of Contents
Chinese Journal of Engineering
Volume 2014 (2014), Article ID 347857, 10 pages
http://dx.doi.org/10.1155/2014/347857
Research Article

A New Mathematical Inventory Model with Stochastic and Fuzzy Deterioration Rate under Inflation

Department of Industrial Engineering, University of Kharazmi, Tehran, Iran

Received 12 February 2014; Revised 19 June 2014; Accepted 8 July 2014; Published 14 August 2014

Academic Editor: Jiuping Xu

Copyright © 2014 Bahar Naserabadi 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. P. M. Ghare and G. H. Schrader, “A model for exponentially decaying inventory system,” International Journal of Production Research, vol. 21, pp. 449–460, 1963. View at Google Scholar
  2. R. P. Covert and G. C. Philip, “An EOQ model for items with Weibull distribution deterioration,” AIIE Trans, vol. 5, no. 4, pp. 323–326, 1973. View at Publisher · View at Google Scholar · View at Scopus
  3. I. Moon, B. C. Giri, and B. Ko, “Economic order quantity models for ameliorating/deteriorating items under inflation and time discounting,” European Journal of Operational Research, vol. 162, no. 3, pp. 773–785, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  4. J.-M. Chen, “An inventory model for deteriorating items with time-proportional demand and shortages under inflation and time discounting,” International Journal of Production Economics, vol. 55, no. 1, pp. 21–30, 1998. View at Publisher · View at Google Scholar · View at Scopus
  5. S. S. Sana, “The stochastic EOQ model with random sales price,” Applied Mathematics and Computation, vol. 218, no. 2, pp. 239–248, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. S. S. Sana, “Optimal selling price and lotsize with time varying deterioration and partial backlogging,” Applied Mathematics and Computation, vol. 217, no. 1, pp. 185–194, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  7. Z. T. Balkhi, “An optimal solution of a general lot size inventory model with deteriorated and imperfect products, taking into account inflation and time value of money,” International Journal of Systems Science, vol. 35, no. 2, pp. 87–96, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. S. K. De and S. S. Sana, “Fuzzy order quantity inventory model with fuzzy shortage quantity and fuzzy promotional index,” Economic Modelling, vol. 31, no. 1, pp. 351–358, 2013. View at Publisher · View at Google Scholar · View at Scopus
  9. S.-T. Lo, H.-M. Wee, and W.-C. Huang, “An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation,” International Journal of Production Economics, vol. 106, no. 1, pp. 248–260, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. S. S. Sana, “The EOQ model—a dynamical system,” Applied Mathematics and Computation, vol. 218, no. 17, pp. 8736–8749, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. R. Roy Chowdhury, S. K. Ghosh, and K. S. Chaudhuri, “An inventory model for perishable items with stock and advertisement sensitive demand,” International Journal of Management Science and Engineering Management, vol. 9, no. 3, pp. 169–177, 2014. View at Publisher · View at Google Scholar
  12. T. Singh and H. Pattnayak, “Two-warehouse inventory model for deteriorating items with linear demand under conditionally permissible delay in payment,” International Journal of Management Science and Engineering Management, vol. 9, no. 2, pp. 104–113, 2014. View at Google Scholar
  13. C. K. Sivashankari and S. Panayappan, “Production inventory model with reworking of imperfect production, scrap and shortages,” International Journal of Management Science and Engineering Management, vol. 9, no. 1, pp. 9–20, 2014. View at Google Scholar
  14. J. A. Buzacott, “Economic order quantity with inflation,” Operational Research Quarterly, vol. 26, no. 3, pp. 553–558, 1975. View at Publisher · View at Google Scholar · View at Scopus
  15. M. Soleimani-Amiri, S. Nodoust, A. Mirzazadeh, and M. Mohammadi, “The average annual cost and discounted cost mathematical modeling methods in the inflationary inventory systems—a comparison analysis,” SOP Transactions on Applied Mathematics, vol. 1, no. 1, pp. 31–41, 2014. View at Google Scholar
  16. K. Hou, “An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting,” European Journal of Operational Research, vol. 168, no. 2, pp. 463–474, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  17. M. Chern, H. Yang, and J. L. Teng, “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 MathSciNet · View at Scopus
  18. I. Horowitz, “EOQ and inflation uncertainty,” International Journal of Production Economics, vol. 65, no. 2, pp. 217–224, 2000. View at Publisher · View at Google Scholar · View at Scopus
  19. A. Mirzazadeh and A. R. Sarfaraz, “Constrained multiple items optimal order policy under stochastic inflationary conditions,” in Proceedings of the 2nd Annual International Conference on Industrial Engineering Application and Practice, pp. 725–730, San Diego, Calif, USA, 1997.
  20. A. Mirzazadeh, “A comparison of the mathematical modeling methods in the inventory systems under uncertain conditions,” International Journal of Engineering Science and Technology, vol. 3, pp. 6131–6142, 2011. View at Google Scholar
  21. A. Mirzazadeh, “Inventory management under stochastic conditions with multiple objectives,” Artificial Intelligence Research, vol. 2, pp. 16–26, 2013. View at Publisher · View at Google Scholar
  22. M. Ameli, A. Mirzazadeh, and M. A. Shirazi, “Economic order quantity model with imperfect items under fuzzy inflationary conditions,” Trends in Applied Sciences Research, vol. 6, no. 3, pp. 294–303, 2011. View at Publisher · View at Google Scholar
  23. D. K. Jana, B. Das, and T. K. Roy, “A partial backlogging inventory model for deteriorating item under fuzzy inflation and discounting over random planning horizon: a fuzzy genetic algorithm approach,” Advances in Operations Research, vol. 2013, Article ID 973125, 13 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  24. A. Gholami-Qadikolaei, A. Mirzazadeh, and R. Tavakkoli-Moghaddam, “A stochastic multiobjective multiconstraint inventory model under inflationary condition and different inspection scenarios,” Journal of Engineering Manufacture, vol. 227, no. 7, pp. 1057–1074, 2013. View at Google Scholar
  25. A. K. Neetu and A. Tomer, “Deteriorating inventory model under variable inflation when supplier credits linked to order quantity,” Procedia Engineering, vol. 38, pp. 1241–1263, 2012. View at Google Scholar
  26. A. Mirzazadeh, M. M. Seyyed Esfahani, and S. M. T. Fatemi Ghomi, “An inventory model under certain inflationary conditions, finite production rate and inflation-dependent demand rate for deteriorating items with shortages,” International Journal of Systems Science, vol. 40, no. 1, pp. 21–31, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. P. L. Abad, “Optimal price and order size for a reseller under partial backordering,” Computers and Operations Research, vol. 28, no. 1, pp. 53–65, 2001. View at Publisher · View at Google Scholar · View at Scopus
  28. P. L. Abad, “Optimal pricing and lot-sizing under conditions of perishability and partial backordering,” Management Science, vol. 42, no. 8, pp. 1093–1104, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  29. K. L. Hou and L. C. Lin, “Optimal pricing and ordering policies for deteriorating items with multivariate demand under trade credit and inflation,” OPSEARCH, vol. 50, no. 3, pp. 404–417, 2013. View at Google Scholar · View at MathSciNet
  30. B. Sarkar, S. S. Sana, and K. Chaudhuri, “An imperfect production process for time varying demand with inflation and time value of money: an EMQ model,” Expert Systems with Applications, vol. 38, no. 11, pp. 13543–13548, 2011. View at Publisher · View at Google Scholar · View at Scopus
  31. S. M. Mousavi, V. Hajipour, S. T. Niaki, and N. Alikar, “Optimizing multi-item multi-period inventory control system with discounted cash flow and inflation: two calibrated meta-heuristic algorithms,” Applied Mathematical Modelling, vol. 37, no. 4, pp. 2241–2256, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  32. S. R. Singh, V. Gupta, and P. Gupta, “Three stage supply chain model with two warehouse, imperfect production, variable demand rate and inflation,” International Journal of Industrial Engineering Computations, vol. 4, no. 1, pp. 81–92, 2013. View at Publisher · View at Google Scholar · View at Scopus
  33. M. Ghoreishi, A. Arshsadi Khamseh, and A. Mirzazadeh, “Joint optimal pricing and inventory control for deteriorating items under inflation and customer returns,” Journal of Industrial Engineering, vol. 2013, Article ID 709083, 7 pages, 2013. View at Publisher · View at Google Scholar
  34. T. Hsieh and C. Y. Dye, “Pricing and lot-sizing policies for deteriorating items with partial backlogging under inflation,” Expert Systems with Applications, vol. 37, no. 10, pp. 7234–7242, 2010. View at Publisher · View at Google Scholar · View at Scopus
  35. T. K. Datta and A. K. Pal, “Effects of inflation and time-value of money on an inventory model with linear time-dependent demand rate and shortages,” European Journal of Operational Research, vol. 52, no. 3, pp. 326–333, 1991. View at Publisher · View at Google Scholar · View at Scopus
  36. K. S. Wu, “An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging,” Production Planning and Control, vol. 12, no. 8, pp. 787–793, 2001. View at Publisher · View at Google Scholar · View at Scopus
  37. B. C. Giri, A. K. Jalan, and K. S. Chaudhuri, “Economic order quantity model with Weibull deterioration distribution, shortage and ramp-type demand,” International Journal of Systems Science, vol. 34, no. 4, pp. 237–243, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus