An economic order quantity model for deteriorating items with time-dependent deterioration rate, demand rate, unit production cost and shortages

2001 ◽  
Vol 32 (8) ◽  
pp. 1003-1009 ◽  
Author(s):  
S. K. Manna ◽  
K. S. Chaudhuri
Keyword(s):  
Production Cost ◽  
Deteriorating Items ◽  
Time Dependent ◽  
Economic Order Quantity ◽  
Economic Order ◽  
Order Quantity ◽  
Unit Production Cost ◽  
Deterioration Rate ◽  
Demand Rate

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.

scholarly journals Development of a Fuzzy Economic Order Quantity Model of Deteriorating Items with Promotional Effort and Learning in Fuzziness with a Finite Time Horizon

Inventions ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 36 ◽  
Author(s):  
Amalendu Singha Mahapatra ◽  
Biswajit Sarkar ◽  
Maheswar Singha Mahapatra ◽  
Hardik N Soni ◽  
Sanat Kumar Mazumder
Keyword(s):  
Finite Time ◽  
Time Horizon ◽  
Deteriorating Items ◽  
Economic Order Quantity ◽  
Economic Order ◽  
Order Quantity ◽  
Promotional Effort ◽  
Deterioration Rate ◽  
Fuzzy Environment ◽  
Finite Time Horizon

This study investigates an economic order quantity model of deteriorating items, where demand is fuzzy in nature and depends on promotional effort with full backorder for a given time horizon. The learning effect in the fuzzy environment is added in this model. A constant deterioration rate is assumed. Under these circumstances, a mathematical model is developed to curtail the total cost over a finite time horizon by determining the replenishment order quantity, number of replenishments, and the fraction of the replenishment cycle when inventory is positive. A solution algorithm is developed to find the optimal solutions. The applicability of the proposed model is illustrated through numerical examples. To get further insights, sensitivity analysis is carried out for the main parameters in crisp, fuzzy, and fuzzy-learning environments.

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