Optimal inventory control problem with inflation-dependent demand rate under stochastic conditions

Research Journal of Applied Sciences, Engineering and Technology

Volumn 4, Issue 4, 2012, Pages 306-315

  Mirzazadeh, A ^a  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Inflation dependent demand; Inventory; Optimization; Stochastic; Supply chain management

Indexed keywords

EID: 84869783173     PISSN: 20407459     EISSN: 20407467     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. Balkhi, Z.T., 2004a. On the optimality of inventory models with deteriorating items for demand and onhand inventory dependent production rate. IMA J. Manage. Math., 15: 67-86.
2. Balkhi, Z.T., 2004b. An optimal solution of a general lot size inventory model with deteriorated and imperfect products, taking into account inflation and time value of money. Inter. J. Syst. Sci., 35: 87-96.
3. Buzacott, J.A., 1975. Economic order quantities with inflation. Oper. Res. Quart., 26: 553-558.
4. Chang, C.T., 2004. An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity. Inter. J. Prod. Eco., 88: 307-316.
5. Chen, J.M., 1998. An inventory model for deteriorating items with time-proportional demand and shortages under inflation and time discounting. Inter. J. Prod. Eco., 55: 21-30.
6. Chen J.M., C.S. Lin, 2002. An optimal replenishment model for inventory items with normally distributed deterioration. Prod. Plann. Control 13: 470-480.
7. Chern, M.S., H.L. Yang and J.T. Teng, 2008. Partial backlogginginventorylot-size modelsfor deteriorating items with fluctuating demand under inflation. Euro. J. Oper. Res., 191: 127-141.
8. Chung, K.J., 2003. An algorithm for an inventory model with inventory-level-dependent demand rate. Comp. Oper. Res., 30: 1311-1317.
9. Chung, K.J. and S.F. Tsai, 2001. Inventory systems for deteriorating items with shortage and a linear trend in demand-taking account of time value. Comp. Oper. Res., 28: 915-934.
10. Datta, T.K. and A.K. Pal, 1991. Effects of inflation and time-value of money on an inventory model with linear time-dependent demand rate and shortages. Euro. J. Oper. Res., 52: 326-333.
11. Dey, J.K., S.K. Mondal and M. Maiti, 2008. Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money. Euro. J. Oper. Res., 185: 170-194.
12. Hariga, M.A., 1995. Effects of inflation and time-value of money on an inventory model with time-dependent demand rate and shortages. Euro. J. Oper. Res., 81: 512-520.
13. Hariga, M.A. and M. Ben-Daya, 1996. Optimal time varying lot-sizing models under inflationary conditions. Euro. J. Oper. Res., 89: 313-325.
14. Hsieh, T.P. and C.Y. Dye, 2010. Pricing and lot-sizing policies for deteriorating items with partial backlogging under inflation. Expert Syst. Appl. 37: 7232-7242.
15. Horowitz, I., 2000. EOQ and inflation uncertainty. Inter. J. Prod. Eco., 65: 217-224.
16. Hou, K.L., 2006. An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting. Euro. J. Oper. Res., 168: 463-474.
17. Hou, K.L. and L.C. Lin, 2004. Optimal Inventory Model with Stock-Dependent Selling Rate under Maximal Total Present Value of Profits. Proc Fourth IASTED International Conference on Modeling, Simulation, and Optimization 7-12.
18. Jaggi, C.K., K.K. Aggarwal and S.K. Goel, 2006. Optimal order policy for deteriorating items with inflation induced demand. Inter. J. Prod. Eco., 103: 707-714.
19. Liao, H.C. and Y.K. Chen, 2003. Optimal payment time for retailer's inventory system. Inter. J. Syst.Sci., 34: 245-253.
20. Lo, S.T., H.M. Wee and W.C. Huang, 2007. An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation. Inter. J. Prod. Eco., 106: 248-260.
21. Maity, K. and K. Maiti, 2008. A numerical approach to a multi-objective optimal inventory control problem for deteriorating multi-items under fuzzy inflation and discounting. Comp. Math. Appli. 55: 1794-1807.
22. Maity, A.K., M.K. Maiti and M. Maiti, 2006. Two storage inventory model with random planning horizon. Appl. Math. Comp., 183: 1084-1097.
23. Maity, A.K., 2010. One machine multiple-product problem with production-inventory system under fuzzy inequality constraint. Appl. Soft Comp., 11(2): 1549-1555.
24. Mirzazadeh, A. and A.R. Sarfaraz, 1997. Constrained Multiple Items Optimal Order Policy under Stochastic Inflationary Conditions. Proceeding of second Annual International Conference on Industrial Engineering Application and Practice, USA, San Diego, pp: 725-730.
25. Mirzazadeh, A., 2007. Effects of Uncertain Inflationary Conditions on Inventory Models Using the Average Annual Cost and the Discounted Cost. Eighth International Conference on Operations and Quantitative Management (ICOQM-8), Bangkok, pp: 17-20.
26. Mirzazadeh, A., 2008. Economic Order Interval Under Variable Inflationary Conditions. Hamburg International Conference of Logistics (HICL2008), Hamburg, Germany.
27. Misra, R.B., 1979. A note on optimal inventory management under inflation. Naval Res. Logistics Quarterly, 26: 161-165.
28. Moon, I., B.C. Giri and B. Ko, 2005. Economic order quantity models for ameliorating/deteriorating items under inflation and time discounting. Euro. J. Oper. Res., 162: 773-785.
29. Sana, S.S., 2010. Demand influenced by enterprises' initiatives-A multi-item EOQ model of deteriorating and ameliorating items. Math. Comp. Model., 52: 284-302.
30. Sarkar, B. and I. Moon, 2011. An EPQ model with inflation in an imperfect production system. Appl. Math. Comp., 217: 6159-616.
31. Sarker, B.R. and H. Pan, 1994. Effects of inflation and the time value of money on order quantity and allowable shortage. Inter. J. Prod. Eco., 34: 65-72.
32. Sarker, B.R., A.M.M. Jamal and S. Wang, 2000. Supply chain models for perishable products under inflation and permissible delay in payments. Comp. Oper. Res., 27: 59-75.
33. Su, C.T., L.I. Tong and H.C. Liao, 1996. An inventory model under inflation for stock dependent demand rate and exponential decay. Oper. Res., 33: 71-82.
34. Uthayakumar, R. and K.V. Geetha, 2009. Replenishment policy for single item inventory model with money inflation. Opsearch, 46: 345-357.
35. Vrat, P. and G. Padmanabhan, 1990. An inventory model under inflation for stock dependent consumption rate items. Engine. Costs Prod. Eco., 19: 379-383.
36. Wee, H.M. and S.T. Law, 1999. Economic production lot size for deteriorating items taking account of the time value of money. Comp. Oper. Res., 26: 545-558.
37. Wee, H.M. and S.T. Law, 2001. Replenishment and pricing policy for deteriorating items taking into account the time-value of money. Inter. J. Prod. Eco., 71: 213-220.
38. Yang, H.L., 2006. Two-warehouse partial backlogging inventory models for deteriorating items under inflation. Inter. J. Prod. Eco., 103: 362-370.
39. Yang, H.L., J.T. Teng and M.S. Chern, 2010. An inventory model under inflation for deteriorating items with stock-dependent consumption rate and partial backlogging shortages. Inter. J. Prod. Eco., 123: 8-19.
40. Yang, H.L., J.T. Teng and M.S. Chern, 2001. Deterministic inventory lot-size models under inflation with shortages and deterioration for fluctuating demand. Naval Res. Logistics, 48: 144-158.