Fuzzy EOQ models with ramp type demand rate, partial backlogging and time dependent deterioration rate

2012 ◽  
Vol 4 (5) ◽  
pp. 473 ◽  
Author(s):  
Ravi Shankar Kumar ◽  
S.K. De ◽  
A. Goswami
Keyword(s):  
Time Dependent ◽  
Partial Backlogging ◽  
Deterioration Rate ◽  
Eoq Models ◽  
Demand Rate ◽  
Ramp Type Demand

scholarly journals Order Level Inventory Models for Deteriorating Seasonable/Fashionable Products with Time Dependent Demand and Shortages

2009 ◽  
Vol 2009 ◽  
pp. 1-24 ◽  
Author(s):  
K. Skouri ◽  
I. Konstantaras
Keyword(s):  
Inventory Model ◽  
Time Dependent ◽  
Inventory Models ◽  
Deterioration Rate ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Increasing Demand ◽  
Ramp Type Demand ◽  
Unsatisfied Demand ◽  
Dependent Demand

An order level inventory model for seasonable/fashionable products subject to a period of increasing demand followed by a period of level demand and then by a period of decreasing demand rate (three branches ramp type demand rate) is considered. The unsatisfied demand is partially backlogged with a time dependent backlogging rate. In addition, the product deteriorates with a time dependent, namely, Weibull, deterioration rate. The model is studied under the following different replenishment policies: (a) starting with no shortages and (b) starting with shortages. The optimal replenishment policy for the model is derived for both the above mentioned policies.

scholarly journals Optimization of generalized order level inventory system under fully permissible delay in payment

2019 ◽  
Author(s):  
BAPPA MONDAL ◽  
Arindam Garai ◽  
Tapan Kumar Roy
Keyword(s):  
Trade Credit ◽  
Inventory System ◽  
Time Dependent ◽  
Eoq Models ◽  
Proposed Model ◽  
Special Cases ◽  
Permissible Delay In Payment ◽  
Demand Rate ◽  
Ramp Type Demand ◽  
Generalized Order

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.

scholarly journals Procurement and Pricing Decision for Trapezoidal Demand Rate and Time Dependent Deterioration

2019 ◽  
Vol 8 (12) ◽  
pp. 2826-2834
Keyword(s):  
Demand Function ◽  
Real Life ◽  
Life Time ◽  
Solution Procedure ◽  
Time Dependent ◽  
Bakery Products ◽  
Partial Backlogging ◽  
Deterioration Rate ◽  
Pricing Decision ◽  
Demand Rate

Deterioration rate may be constant or varies with time. In real life time dependent deterioration is observed in many products like fruits, bakery products, milk products etc. Generally deterioration rate increases as the time passes. In this paper we present an inventory model for the trapezoidal type demand function and time dependent deterioration rate. Demand rate depends on time as well as price. Shortages are allowed with partial backlogging. In order to illustrate solution procedure numerical examples and sensitivity analysis have been demonstrated.

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