scholarly journals Nonlinear pentagonal intuitionistic fuzzy number and its application in EPQ model under learning and forgetting

2021 ◽  
Author(s):  
Avishek Chakraborty ◽  
Shilpi Pal ◽  
Sankar Prasad Mondal ◽  
Shariful Alam
Keyword(s):  
Fuzzy Number ◽  
Numerical Study ◽  
Intuitionistic Fuzzy Number ◽  
Defective Items ◽  
Economic Production Quantity ◽  
Intuitionistic Fuzzy ◽  
Basic Model ◽  
Economic Production ◽  
Epq Model ◽  
Production Quantity

AbstractIn this current era, the concept of nonlinearity plays an important and essential role in intuitionistic fuzzy arena. This article portrays an impression of different representation of nonlinear pentagonal intuitionistic fuzzy number (PIFN) and its classification under different scenarios. A new de-intuitification technique of non-linear PIFN is addressed in this article along with its various graphical representations. Additionally, in this paper, we have observed this by applying it in an economic production quantity model where the production is not perfect and defective items are produced which are reworked. The model is considered under learning and forgetting, where learning is considered as linear, nonlinear PIFN and crisps arena. It is observed from the numerical study that high learning effects in rework lead to decrease in production of defective item, which, besides an economic advantage, may have a positive effect on the environment. Even though forgetting has an adverse effect, the average total cost is much less than that of the basic model which ignores worker learning and forgetting. Finally, comparative and sensitivity analysis result shows the utility of this noble work.

scholarly journals Economic production quantity concerning learning and the reworking of imperfect items

2012 ◽  
Vol 22 (2) ◽  
pp. 313-336 ◽  
Author(s):  
Deng-Maw Tsai ◽  
Ji-Cheng Wu
Keyword(s):  
Production Quality ◽  
Optimal Operation ◽  
Defective Items ◽  
Total Cost ◽  
Imperfect Quality ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Imperfect Items ◽  
Epq Model ◽  
Production Quantity

The classical economic production quantity (EPQ) model assumes that items produced are of perfect quality and the production rate is constant. However, production quality depends on the condition of the process. Due to process deterioration or other factors, the production process may shift and produce imperfect quality items. These imperfect quality items sometimes can be reworked and repaired; hence, overall production-inventory costs can be reduced significantly. In addition, it can be found in practice that the time or cost required to repetitively produce a unit of a product decreases when the number of units produced by a worker or a group of workers increases. Under this circumstance, the unit production cost cannot be regarded as constant and, therefore, cannot be ignored when taking account of the total cost. This paper incorporates the effects of learning and the reworking of defective items on the EPQ model since they were not considered in existing models. An optimal operation policy that minimizes the expected total cost per unit time is derived. A numerical example is provided to illustrate the proposed model. In addition, sensitivity analysis is performed and discussed.

scholarly journals Replenishment policy for an economic production quantity model considering rework and multiple shipments

2020 ◽  
Vol 9 (3) ◽  
pp. 758
Author(s):  
Usman Ghani ◽  
Mubashir Hayat
Keyword(s):  
Cost Function ◽  
Real Life ◽  
Optimal Number ◽  
Lot Size ◽  
Defective Items ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Long Run ◽  
Epq Model ◽  
Production Quantity

Determining the optimal replenishment lot size and shipment policy for a production setup has been of greater interest during the last few years. This paper derives the optimal replenishment lot size and shipment policy for an Economic Production Quantity (EPQ) model with rework of defective items. However, in a real life situation, multi-shipment policy is used in lieu of continuous issuing policy and generation of defective items is inevitable. The proposed research assume that all imperfect quality items are reworked to perfect quality items and then all perfect quality items are delivered to the customers. Mathematical modeling is used in this study and the long-run average production–inventory-delivery cost function is derived. Convexity of the cost function is proved by using the Hessian matrix equations. The closed-form optimal replenishment lot size and optimal number of shipments that minimize the long-run average costs for such an EPQ model are derived.  

scholarly journals The effect of service constraint on EPQ model with random defective rate

2006 ◽  
Vol 2006 ◽  
pp. 1-5 ◽  
Author(s):  
Yung-Fu Huang
Keyword(s):  
Annual Cost ◽  
Differential Calculus ◽  
Cost Minimization ◽  
Algebraic Approach ◽  
Optimal Solution ◽  
Service Level ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Epq Model ◽  
Production Quantity

Chiu studied the effect of service-level constraint on the economic production quantity (EPQ) model with random defective rate. In this note, we will offer a simple algebraic approach to replace his differential calculus skill to find the optimal solution under the expected annual cost minimization.

A NOTE ON EPQ MODEL FOR SEASONAL PERISHABLE PRODUCTS WITH STOCK DEPENDENT DEMAND

2008 ◽  
Vol 25 (03) ◽  
pp. 301-315 ◽  
Author(s):  
S. PANDA ◽  
S. SAHA ◽  
M. BASU
Keyword(s):  
Perishable Products ◽  
Programming Technique ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Time Period ◽  
Capacity Level ◽  
Proposed Model ◽  
Production Inventory ◽  
Epq Model ◽  
Production Quantity

A single item, single cycle economic production quantity model for perishable products is proposed where the demand is two-component and stock dependent. The production inventory scenario of products like cake, bread, fast foods, fishes, garments, cosmetics etc in the festival season is considered. The profit function is formulated under the assumption that the time period of the festival seasons is fixed and the display capacity of the produced item is limited. In the formulation process, to introduce more flexibility, a goal programming technique is incorporated to achieve the producer's desired profit and stock of as much inventory as possible below the display capacity level. A numerical example is presented to illustrate the proposed model. A sensitivity analysis of the model is also carried out.

scholarly journals Pengembangan Model Economic Production Quantity (EPQ) dengan Sinkronisasi Demand Kontinu dan Diskrit Secara Simultan

2016 ◽  
Vol 15 (1) ◽  
pp. 78 ◽  
Author(s):  
Nurike Oktavia ◽  
Henmaidi Henmaidi ◽  
Jonrinaldi Jonrinaldi
Keyword(s):  
Total Production ◽  
Lot Size ◽  
Inventory Cost ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Holding Cost ◽  
Epq Model ◽  
Production Quantity ◽  
Set Up ◽  
Production Lot Size

The most popular inventory model to determine production lot size is Economic Production Quantity (EPQ). It shows enterprise how to minimize total production cost by reducing inventory cost. But, three main parameters in EPQ which are demand, machine set up cost, and holding cost, are not suitable to solve issues nowadays. When an enterprise has two types of demand, continue and discrete demand, the basic EPQ would be no longer useful. Demand continues comes from a customer who wants their needs to be fulfilled every time per unit time, while the fulfillment of demand discrete is at a fixed interval of time. A literature review is done by writers to observe other formulation of EPQ model. As there is no other research can be found which adopt this topic, this study tries to develop EPQ model considering two types of demand simultaneously.

Economic production quantity (EPQ) model with partial backordering and a discount for imperfect quality batches

2018 ◽  
Vol 56 (18) ◽  
pp. 6279-6293 ◽  
Author(s):  
Luiza Ribeiro Alves Cunha ◽  
Ana Paula Santos Delfino ◽  
Kamila Almeida dos Reis ◽  
Adriana Leiras
Keyword(s):  
Imperfect Quality ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Partial Backordering ◽  
Epq Model ◽  
Production Quantity

Consumer Electronics Enterprise Patent Strategy Based on University-Enterprise Cooperation with a Failure Rate

2014 ◽  
Vol 556-562 ◽  
pp. 6616-6619
Author(s):  
Jun Chen ◽  
Lai Fu Ye
Keyword(s):  
Research And Development ◽  
Failure Rate ◽  
Optimal Number ◽  
Consumer Electronics ◽  
Economic Production Quantity ◽  
Patent Strategy ◽  
Economic Production ◽  
Epq Model ◽  
Production Quantity ◽  
Development Failure

Based on Economic Production Quantity (EPQ) model with certain defective rate, this paper analyses technology patent storage problems in university-enterprise cooperation under the perspective of consumer electronics enterprise, finds out the optimal number and cycle of patent research considering the factor of research and development failure rate.

scholarly journals EPQ Model for Trended Demand with Rework and Random Preventive Machine Time

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Nita H. Shah ◽  
Dushyantkumar G. Patel ◽  
Digeshkumar B. Shah
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Solution ◽  
Rate Of Change ◽  
Machine Time ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Model Search ◽  
Demand Rate ◽  
Epq Model ◽  
Production Quantity

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.

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