A pollution sensitive dense fuzzy economic production quantity model with cycle time dependent production rate

2017 ◽  
Vol 154 ◽  
pp. 139-150 ◽  
Author(s):  
Snigdha Karmakar ◽  
Sujit Kumar De ◽  
A. Goswami
Keyword(s):  
Production Rate ◽  
Cycle Time ◽  
Time Dependent ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Production Quantity

scholarly journals An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Behrouz Afshar-Nadjafi
Keyword(s):  
Production Rate ◽  
Production Cost ◽  
Continuous Functions ◽  
Optimal Production ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Epq Model ◽  
Production Quantity ◽  
Set Up ◽  
The Cost

Extensive research has been devoted to economic production quantity (EPQ) problem. However, no attention has been paid to problems where unit production and set-up costs must be considered as functions of production rate. In this paper, we address the problem of determining the optimal production quantity and rate of production in which unit production and set-up costs are assumed to be continuous functions of production rate. Based on the traditional economic production quantity (EPQ) formula, the cost function associated with this model is proved to be nonconvex and a procedure is proposed to solve this problem. Finally, utility of the model is presented using some numerical examples and the results are analyzed.

scholarly journals Economic production quantity model with variable machining rates and product quality

2019 ◽  
Vol 11 ◽  
pp. 184797901987261
Author(s):  
Mohammad M AlDurgam ◽  
Shokri Z Selim ◽  
Sameh T Al-Shihabi ◽  
Lamees Al-Durgham
Keyword(s):  
Production Rate ◽  
Local Minimum ◽  
Cutting Speed ◽  
Production Economics ◽  
Technical Parameters ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Machining Economics ◽  
Machining Speed ◽  
Production Quantity

The literature has several models that jointly determine the economic production quantity (EPQ) and the rate of production. Very few models define production rate explicitly. In this article, the cutting speed controls the production rate and the proportion nonconforming. Thus, we propose a model that integrates EPQ, machining economics and quality. Even though the objective function of the model is non-convex, we show for realistic values of some technical parameters that a local minimum of the proposed mathematical model is also global. Examples clearly show the effect of the production economics factors on the optimal machining speed and production quantity.

scholarly journals Arbitrary-order economic production quantity model with and without deterioration: generalized point of view

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Mostafijur Rahaman ◽  
Sankar Prasad Mondal ◽  
Ali Akbar Shaikh ◽  
Ali Ahmadian ◽  
Norazak Senu ◽  
...  
Keyword(s):  
Fractional Calculus ◽  
Production Rate ◽  
Fractional Order ◽  
Arbitrary Order ◽  
Optimization Techniques ◽  
Point Of View ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Epq Model ◽  
Production Quantity

AbstractThe key objective of this paper is to study and discuss the application of fractional calculus on an arbitrary-order inventory control problem. Using the concepts of fractional calculus followed by fractional derivative, we construct different possible models like generalized fractional-order economic production quantity (EPQ) model with the uniform demand and production rate and generalized fractional-order EPQ model with the uniform demand and production rate and deterioration. Also, we show that the classical EPQ model is the particular case of the corresponding generalized fractional EPQ model. This greatly facilitates the researcher a novel tactic to analyse the solution of the EPQ model in the presence of fractional index. Furthermore, this attempt also provides the solution obtained through the optimization techniques after using the real distinct poles rational approximation of the generalized Mittag-Leffler function.

A comparative study on economic production quantity (EPQ) model under space constraint with different kinds of data

2019 ◽  
Vol 9 (1) ◽  
pp. 86-100
Author(s):  
Amir Karbassi Yazdi ◽  
Mohamad Amin Kaviani ◽  
Amir Homayoun Sarfaraz ◽  
Leopoldo Eduardo Cárdenas-Barrón ◽  
Hui-Ming Wee ◽  
...  
Keyword(s):  
Cycle Time ◽  
Space Constraint ◽  
Optimal Solution ◽  
Inventory Model ◽  
Fuzzy Data ◽  
Content Type ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Epq Model ◽  
Production Quantity

PurposeThe purpose of this paper is to develop a multi-item economic production quantity (EPQ) strategy under grey environment and space constraint. Since the “demand” cannot be predicted with certainty, it is assumed that data behave under grey environment and compare the proposed inventory model with other studies using crisp or fuzzy environments.Design/methodology/approachThis paper is to optimise the cycle time and total cost of the multi-item EPQ inventory model. For this purpose, the Lagrangian coefficient is used to solve the constrained optimisation problem. The grey relational analysis approach and grey data are applied in developing the EPQ inventory model.FindingsThe results are compared with the analysis using crisp and fuzzy data. Sensitivity analysis is done to illustrate the effect of parameter variations on the optimal solution. The results of the study demonstrate that crisp data outperform the other two data in all scales problems in terms of cycle time and cost; grey data perform better in all scales problems than fuzzy data.Originality/valueThe contribution of this research is the use of grey data in developing the EPQ inventory model with space constraint.

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