Order level inventory system with ramp type demand rate for deteriorating items

1998 ◽  
Vol 1 (1) ◽  
pp. 49-66 ◽  
Author(s):  
B. Mandal ◽  
A. K. Pal
2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
G. Darzanou ◽  
K. Skouri

An inventory system for deteriorating products, with ramp-type demand rate, under two-level trade credit policy is considered. Shortages are allowed and partially backlogged. Sufficient conditions of the existence and uniqueness of the optimal replenishment policy are provided, and an algorithm, for its determination, is proposed. Numerical examples highlight the obtained results, and sensitivity analysis of the optimal solution with respect to major parameters of the system is carried out.


2021 ◽  
Vol 13 (2) ◽  
pp. 455-465
Author(s):  
S. Chandra

In this paper, a two warehouse inventory model for deteriorating items is studied with ramp type demand rate. Holding cost of rented warehouse has higher than the owned warehouse due to better preservation facilities in rented warehouse. Due to the improved services offer in rented warehouse, the deterioration rate in rented warehouse is less than deterioration rate in owned warehouse. When stock on hand is zero, the inventory manager offers a price discount to customers who are willing to backorder their demand. The study includes some features that are likely to be associated with certain types of inventory, like inventory of seasonal fruits and vegetables, newly launched fashion items, etc. The optimum ordering policy and the optimum discount offered for each backorder are determined by minimizing the total cost in a replenishment interval.


2007 ◽  
Vol 178 (1) ◽  
pp. 112-120 ◽  
Author(s):  
Peter Shaohua Deng ◽  
Robert H.-J. Lin ◽  
Peter Chu

Author(s):  
BAPPA MONDAL ◽  
Arindam Garai ◽  
Tapan Kumar Roy

This article presents one generalized order-level inventory system with fully permissible delay in payment in various trade-credit intervals. Review of existing literature nds few EOQ models under simultaneous considerations of time-dependent generalized demand rate, time-dependent generalized rate of deterioration and time-dependent generalized backordering under fully permissible delay in payment. In those existing studies, the optimal inventory depletion time is independent of demand over the entire cycle. Here, present article frames one generalized order level inventory system with fully permissible delay in payment across various trade-credit intervals. This nds that when the trade-credit period is longer than the inventory depletion time to settle the account, the optimal inventory depletion time is dependent of demand. Under this ambiance, one particular case having time-dependent ramp type demand rate, two variables time-dependent Weibull distribution rate of deterioration and time-dependent backordering rate with fully permissible delay in payment, nds that the optimal inventory depletion time varies inversely over demand in that period. Moreover, the proposed model shrinks to obtain many well-established EOQ models as the special cases to it. Next, a general algorithm determines the various optimal solutions corresponding to seven cases. The managerial insights extracted from sensitivity analysis of parameters include the suggestion to halt the promotional activities so as to foreshorten the demand in shortage period. Also, this analysis attests that the longer waiting period of retailers should be counterbalanced with various promotional activities and anticipated benefits.


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