An inventory model of price and stock dependent demand rate with deterioration under inflation and delay in payment

被引:35
作者
Pal S. [1 ]
Mahapatra G.S. [2 ]
Samanta G.P. [1 ]
机构
[1] Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah
[2] Department of Mathematics, National Institute of Technology-Puducherry, Karaikal
关键词
Credit period; Delay payment; Deterioration; Inflation; Shortage;
D O I
10.1007/s13198-013-0209-y
中图分类号
学科分类号
摘要
This paper deals with the economic order quantity model for deteriorating items with price and stock dependent demand rate, where deterioration is constant. We have noticed the effect of shortage under inflation and taken into consideration the condition of permissible delay in payment. In first case, the credit period is less than or equal to the cycle time for settling the account and secondly the credit period is greater than the cycle time for settling the account. Then we have obtained the condition for minimizing the total cost. Finally, the results are illustrated by a numerical example for different cases and sensitivity analysis is carried out to analyze the effect of the parameters on the optimal solution. © 2013, The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.
引用
收藏
页码:591 / 601
页数:10
相关论文
共 31 条
[1]  
Chang H.J., Dye C.Y., An EOQ model for deteriorating items with time vary demand and partial backlogging, Journal of Operational Research Society, 50, pp. 1176-1182, (2001)
[2]  
Chang H.J., Hung C.H., Dye C.Y., A finite time horizon inventory model with deterioration and time-value of money under the conditions of permissible delay in payments, Int J Syst Sci, 33, 2, pp. 141-151, (2002)
[3]  
Chen J.M., An EOQ model for deteriorating items with time-proportional demand and shortages under inflation and time discounting, Int J Prod Econ, 55, pp. 21-30, (1998)
[4]  
Chung K.J., Lin C.N., Optimal inventory replenishment models for deteriorating items taking account of time discounting, Computer and Operations Research, 28, pp. 67-83, (2001)
[5]  
Dey J.K., Mondal S.K., Maiti M., Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money, Eur J Oper Res, 185, 1, pp. 170-194, (2008)
[6]  
Goyal S.K., EOQ under conditions of permissible delay in payments, Journal of Operation Research Society, 36, pp. 335-338, (1985)
[7]  
Hou K.L., Inventory model for deteriorating items with stock-dependent consumption rate and shortage under inflation and time discounting, European Journal of Operational research, 168, pp. 463-474, (2006)
[8]  
Hou K.L., Lin L.C., An EOQ model for deteriorating items with price-and stock-dependent selling rates under inflation and time value of money, International journal of systems science, 37, 15, pp. 1131-1139, (2006)
[9]  
Jaggi C.K., Khanna A., Supply chain model for deteriorating items with stock-dependent consumption rate and shortages under inflation and permissible delay in payment, International Journal of Mathematics in Operational Research, 2, 4, pp. 491-514, (2010)
[10]  
Jaggi C.K., Kapur P.K., Goyal S.K., Goel S.K., Optimal replenishment and credit policy in EOQ model under two-levels of trade credit policy when demand is influenced by credit period, International Journal of System Assurance Engineering and Management, 3, 4, pp. 352-359, (2012)