Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate

2009 ◽  
Vol 192 (1) ◽  
pp. 79-92 ◽  
Author(s):  
K. Skouri ◽  
I. Konstantaras ◽  
S. Papachristos ◽  
I. Ganas
Keyword(s):  
Partial Backlogging ◽  
Inventory Models ◽  
Deterioration Rate ◽  
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 Inventory models with ramp-type demand for deteriorating items with partial backlogging and time-varing holding cost

2014 ◽  
Vol 24 (2) ◽  
pp. 249-266 ◽  
Author(s):  
Biplab Karmakar ◽  
Karabi Choudhury
Keyword(s):  
Time Varying ◽  
Partial Backlogging ◽  
Inventory Models ◽  
Two Component ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Holding Cost ◽  
Ramp Type Demand ◽  
Increasing Function ◽  
Unsatisfied Demand

In this paper, an inventory model with general ramp-type demand rate, partial backlogging of unsatisfied demand and time-varying holding cost is considered; where the ?Time-varying holding cost? means that the holding cost is a function of time, i.e. it is time dependent. The model is studied under the following different replenishment policies: (1) starting with no shortages (2) starting with shortages. Two component demand rate has been used. The backlogging rate is any non-increasing function of the waiting time up to the next replenishment. The optimal replenishment policy is derived for both the above mentioned policies.

scholarly journals A study of inflation effects on an EOQ model for Weibull deteriorating/ameliorating items with ramp type of demand and shortages

2013 ◽  
Vol 23 (3) ◽  
pp. 441-455 ◽  
Author(s):  
M. Valliathal ◽  
R. Uthayakumar
Keyword(s):  
Computer Software ◽  
Optimal Solution ◽  
Solution Procedure ◽  
Inventory Level ◽  
Decision Variable ◽  
Deterioration Rate ◽  
Eoq Model ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Ramp Type Demand

This paper deals with the effects of inflation and time discounting on an inventory model with general ramp type demand rate, time dependent (Weibull) deterioration rate and partial backlogging of unsatisfied demand. The model is studied under the replenishment policy, starting with shortages under two different types of backlogging rates, and their comparative study is also provided. We then use the computer software, MATLto find the optimal replenishment policies. Duration of positive inventory level is taken as the decision variable to minimize the total cost of the proposed system. Numerical examples are then taken to illustrate the solution procedure. Finally, sensitivity of the optimal solution to changes of the values of different system parameters is also studied.

scholarly journals Two-warehouse inventory models for deteriorating products with ramp type demand rate

2013 ◽  
Vol 9 (4) ◽  
pp. 855-883 ◽  
Author(s):  
Konstantina Skouri ◽  
◽  
Ioannis Konstantaras ◽  
Keyword(s):  
Inventory Models ◽  
Demand Rate ◽  
Ramp Type Demand

Two Warehouse Inventory Model for Deteriorating Items with Ramp Type Demand and Price Discount on Backorders

2021 ◽  
Vol 13 (2) ◽  
pp. 455-465
Author(s):  
S. Chandra
Keyword(s):  
Fruits And Vegetables ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Price Discount ◽  
Total Cost ◽  
Deterioration Rate ◽  
Ordering Policy ◽  
Demand Rate ◽  
Holding Cost ◽  
Ramp Type Demand

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.

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