Inventory models with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages

2011 ◽  
Vol 191 (1) ◽  
pp. 73-95 ◽  
Author(s):  
K. Skouri ◽  
I. Konstantaras ◽  
S. K. Manna ◽  
K. S. Chaudhuri
Keyword(s):  
Production Cost ◽  
Time Dependent ◽  
Inventory Models ◽  
Unit Production Cost ◽  
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 An economic order quantity model with ramp type demand rate, constant deterioration rate and unit production cost

2016 ◽  
Vol 26 (3) ◽  
pp. 305-316 ◽  
Author(s):  
Prasenjit Manna ◽  
Swapan Manna ◽  
Bibhas Giri
Keyword(s):  
Production Cost ◽  
Stopping Time ◽  
Economic Order Quantity ◽  
Order Quantity ◽  
Unit Production Cost ◽  
Deterioration Rate ◽  
Time Optimal ◽  
Demand Rate ◽  
Ramp Type Demand ◽  
Constant Deterioration

We have developed an order level inventory system for deteriorating items with demand rate as a ramp type function of time. The finite production rate is proportional to the demand rate and the deterioration rate is independent of time. The unit production cost is inversely proportional to the demand rate. The model with no shortages case is discussed considering that: (a) the demand rate is stabilized after the production stopping time and (b) the demand is stabilized before the production stopping time. Optimal costs are determined for two different cases.

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