An economic production quantity inventory model involving fuzzy demand rate and fuzzy deterioration rate

2003 ◽  
Vol 12 (1-2) ◽  
pp. 251-260 ◽  
Author(s):  
Sujit De Kumar ◽  
P. K. Kundu ◽  
A. Goswami
2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Nita H. Shah ◽  
Dushyantkumar G. Patel ◽  
Digeshkumar B. Shah

Economic production quantity (EPQ) inventory model for trended demand has been analyzed with rework facility and stochastic preventive machine time. Due to the complexity of the model, search method is proposed to determine the best optimal solution. A numerical example and sensitivity analysis are carried out to validate the proposed model. From the sensitivity analysis, it is observed that the rate of change of demand has significant impact on the optimal inventory cost. The model is very sensitive to the production and demand rate.


2015 ◽  
Vol 25 (3) ◽  
pp. 425-443 ◽  
Author(s):  
Nita Shah ◽  
Dushyantkumar Patel ◽  
Digeshkumar Shah

Economic production quantity (EPQ) model has been analyzed for trended demand, and units in inventory are subject to constant rate. The system allows rework of imperfect units, and preventive maintenance time is random. A search method is used to study the model. The proposed methodology is validated by a numerical example. The sensitivity analysis is carried out to determine the critical model parameters. It is observed that the rate of change of demand, and the deterioration rate have a significant impact on the decision variables and the total cost of an inventory system. The model is highly sensitive to the production and demand rate.


2021 ◽  
Vol 33 (4) ◽  
pp. 51-65
Author(s):  
SUSHIL KUMAR ◽  

Production inventory models have an important role in production planning and scheduling. In any economic production quantity (EPQ) model, the production rate is dependent on demand. In this paper we have established a production inventory model for perishable items with partial backlogging and time dependent exponential demand rate. Allowing shortage, it is partially backlogged. The unsatisfied demand is backlogged and it is considered a function of waiting time. The aim of our study is to optimizing the total profit during a given cycle. A numerical example is given in showing the applicability of the developed model.


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