Table of Contents
Advances in Decision Sciences
Volume 2014, Article ID 457276, 10 pages
http://dx.doi.org/10.1155/2014/457276
Research Article

Cost Analysis for a Supplier in an Inflationary Environment with Stock Dependent Demand Rate for Perishable Items

1Department of Mathematics, IIT Roorkee, Roorkee 247667, India
2Department of Mathematics, IBS, Khandari, Agra 282002, India
3Department of Mathematics, St. John’s College, Agra 282002, India

Received 11 May 2014; Revised 22 October 2014; Accepted 31 October 2014; Published 18 December 2014

Academic Editor: Jue Wang

Copyright © 2014 Madhu Jain 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. N. H. Shah and Y. K. Shah, “Literature survey on inventory models for deteriorating items,” Economic Annals, vol. 44, pp. 221–237, 2000. View at Google Scholar
  2. S. K. Goyal and B. C. Giri, “The production-inventory problem of a product with time varying demand, production and deterioration rates,” European Journal of Operational Research, vol. 147, no. 3, pp. 549–557, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  3. P. C. Yang and H. M. Wee, “A win-win strategy for an integrated vendor buyer deteriorating inventory system,” in Proceedings of the 10th International Conference CMAM2 (MMA '05), Mathematical and Computer Modelling, pp. 541–546, Trakai, Lithuania, 2005.
  4. P. Mishra and N. H. Shah, “Inventory management of time dependent deteriorating items with salvage value,” Applied Mathematical Sciences, vol. 2, no. 13–16, pp. 793–798, 2008. View at Google Scholar · View at MathSciNet
  5. M. Jain, G. C. Sharma, and R. Sharma, “A deterministic production inventory model for deteriorating items with time-varying demand and shortage-dependent partial backlogging,” International Journal of Information and Computing Science, vol. 11, no. 2, pp. 11–17, 2008. View at Google Scholar
  6. S. K. Manna, C. C. Lee, and C. Chiang, “EOQ model for non-instantaneous deteriorating items with time-varying demand and partial backlogging,” International Journal of Industrial and Systems Engineering, vol. 4, no. 3, pp. 241–254, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. G. C. Mahata, “An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain,” Expert Systems with Applications, vol. 39, no. 3, pp. 3537–3550, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. T. Xiao and T. Xu, “Coordinating price and service level decisions for a supply chain with deteriorating item under vendor managed inventory,” International Journal of Production Economics, vol. 145, no. 2, pp. 743–752, 2013. View at Publisher · View at Google Scholar · View at Scopus
  9. W. C. Wang, J. T. Teng, and K. R. Lou, “Seller's optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime,” European Journal of Operational Research, vol. 232, no. 2, pp. 315–321, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. S. Bose, A. Goswami, and K. S. Choudhuri, “An EOQ model for deteriorating items with linear time-dependent demand rate and shortages under inflation and time discounting,” Journal of the Operational Research Society, vol. 27, pp. 213–224, 1995. View at Google Scholar
  11. I. Moon and S. Lee, “The effects of inflation and time-value of money on an economic order quantity model with a random product life cycle,” European Journal of Operational Research, vol. 125, no. 3, pp. 588–601, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. C. T. Chang, “An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity,” International Journal of Production Economics, vol. 88, no. 3, pp. 307–316, 2004. View at Publisher · View at Google Scholar · View at Scopus
  13. S. R. Singh and R. Jain, “Understanding supplier credits in an inflationary environment when reserve money is available,” International Journal of Operational Research, vol. 6, no. 4, pp. 459–474, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Jain and D. Chauhan, “Inventory model with deterioration, inflation and permissible delay in payments,” Arya Bhatta Journal of Mathematics & Informatics, vol. 2, pp. 165–174, 2010. View at Google Scholar
  15. B. Sarkar and I. Moon, “An EPQ model with inflation in an imperfect production system,” Applied Mathematics and Computation, vol. 217, no. 13, pp. 6159–6167, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. T. A. Lubik and W. L. Teo, “Inventories, inflation dynamics and the New Keynesian Phillips curve,” European Economic Review, vol. 56, no. 3, pp. 327–346, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. B. H. Gilding, “Inflation and the optimal inventory replenishment schedule within a finite planning horizon,” European Journal of Operational Research, vol. 234, no. 3, pp. 683–693, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. B. C. Giri, S. Pal, A. Goswami, and K. S. Chaudhuri, “An inventory model for deteriorating items with stock-dependent demand rate,” European Journal of Operational Research, vol. 95, no. 3, pp. 604–610, 1996. View at Publisher · View at Google Scholar · View at Scopus
  19. T. K. Datta and K. Paul, “An inventory system with stock-dependent, price-sensitive demand rate,” Production Planning and Control, vol. 12, no. 1, pp. 13–20, 2001. View at Publisher · View at Google Scholar · View at Scopus
  20. N. K. Mahapatra and M. Maiti, “Multi objective inventory models of multi items with quality and stock dependent demand and stochastic deterioration,” Advanced Modeling and Optimization, vol. 7, no. 1, pp. 69–84, 2005. View at Google Scholar
  21. H. K. Alfares, “Inventory model with stock-level dependent demand rate and variable holding cost,” International Journal of Production Economics, vol. 108, no. 1-2, pp. 259–265, 2007. View at Publisher · View at Google Scholar · View at Scopus
  22. M. Jain, G. C. Sharma, and S. Rathore, “Economic production quantity models with shortage, price and stock-dependent demand for deteriorating items,” International Journal of Engineering, Transactions A: Basics, vol. 20, no. 2, pp. 159–168, 2007. View at Google Scholar · View at Scopus
  23. J. Mo, F. Mi, F. Zhou, and H. Pan, “A note on an EOQ model with stock and price sensitive demand,” Mathematical and Computer Modelling, vol. 49, no. 9-10, pp. 2029–2036, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. L.-Y. Ouyang, K.-S. Wu, and C.-T. Yang, “Retailer's ordering policy for non-instantaneous deteriorating items with quantity discount, stock-dependent demand and stochastic backorder rate,” Journal of the Chinese Institute of Industrial Engineers, vol. 25, no. 1, pp. 62–72, 2008. View at Publisher · View at Google Scholar · View at Scopus
  25. J. Min, Y. W. Zhou, and J. Zhao, “An inventory model for deteriorating items under stock-dependent demand and two-level trade credit,” Applied Mathematical Modelling, vol. 34, no. 11, pp. 3273–3285, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. H. N. Soni, “Optimal replenishment policies for deteriorating items with stock sensitive demand under two-level trade credit and limited capacity,” Applied Mathematical Modelling, vol. 37, no. 8, pp. 5887–5895, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. C. T. Yang, “An inventory model with both stock-dependent demand rate and stock-dependent holding cost rate,” International Journal of Production Economics, vol. 155, pp. 214–221, 2014. View at Publisher · View at Google Scholar · View at Scopus
  28. B. N. Mandal and S. Phaujdar, “Some EOQ models under permissible delay in payments,” International Journal of Management Science, vol. 5, no. 2, pp. 99–109, 1989. View at Google Scholar
  29. H. Hwang and S. W. Shinn, “Retailer's pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payments,” Computers and Operations Research, vol. 24, no. 6, pp. 539–547, 1997. View at Publisher · View at Google Scholar · View at Scopus
  30. K. J. Chung and Y. F. Huang, “The optimal cycle time for EPQ inventory model under permissible delay in payments,” International Journal of Production Economics, vol. 84, no. 3, pp. 307–318, 2003. View at Publisher · View at Google Scholar · View at Scopus
  31. L. H. Chen and F. S. Kang, “Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments,” European Journal of Operational Research, vol. 183, no. 2, pp. 658–673, 2007. View at Publisher · View at Google Scholar · View at Scopus
  32. S. Singhal, Urvashi, and U. Sharma, “Optimal pricing and ordering policy of retailers with variable holding cost under delay in payments,” International Transactions in Mathematics, Science and Computers, vol. 2, no. 1, pp. 177–184, 2009. View at Google Scholar
  33. Y. Liang and F. Zhou, “A two-warehouse inventory model for deteriorating items under conditionally permissible delay in payment,” Applied Mathematical Modelling, vol. 35, no. 5, pp. 2221–2231, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  34. R. Maihami and I. N. Abadi, “Joint control of inventory and its pricing for non-instantaneously deteriorating items under permissible delay in payments and partial backlogging,” Mathematical and Computer Modelling, vol. 55, no. 5-6, 1722-1733 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  35. H. N. Soni, “Optimal replenishment policies for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment,” International Journal of Production Economics, vol. 146, no. 1, pp. 259–268, 2013. View at Publisher · View at Google Scholar · View at Scopus
  36. A. K. Bhunia, C. K. Jaggi, A. Sharma, and R. Sharma, “A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging,” Applied Mathematics and Computation, vol. 232, pp. 1125–1137, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  37. S. Kar, S. Das, and P. K. Ghosh, “Applications of neuro fuzzy systems: a brief review and future outline,” Applied Soft Computing Journal, vol. 15, pp. 243–259, 2014. View at Publisher · View at Google Scholar · View at Scopus
  38. A. T. Gumus and A. F. Guneri, “A multi-echelon inventory management framework for stochastic and fuzzy supply chains,” Expert Systems with Applications, vol. 36, no. 3, pp. 5565–5575, 2009. View at Publisher · View at Google Scholar · View at Scopus
  39. A. T. Gumus, A. F. Guneri, and F. Ulengian, “A new methodology for multi-echelon inventory management in stochastic and neuro-fuzzy environments,” International Journal of Production Economics, vol. 128, no. 1, pp. 248–260, 2010. View at Publisher · View at Google Scholar · View at Scopus