scholarly journals An Extended EPQ-Based Problem with a Discontinuous Delivery Policy, Scrap Rate, and Random Breakdown

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Singa Wang Chiu ◽  
Hong-Dar Lin ◽  
Ming-Syuan Song ◽  
Hsin-Mei Chen ◽  
Yuan-Shyi P. Chiu
Keyword(s):  
Real Life ◽  
Optimization Techniques ◽  
Retail Stores ◽  
Total System ◽  
Defective Items ◽  
Economic Production ◽  
Holding Cost ◽  
Epq Model ◽  
Production Quantity ◽  
Delivery Policy

In real supply chain environments, the discontinuous multidelivery policy is often used when finished products need to be transported to retailers or customers outside the production units. To address this real-life production-shipment situation, this study extends recent work using an economic production quantity- (EPQ-) based inventory model with a continuous inventory issuing policy, defective items, and machine breakdown by incorporating a multiple delivery policy into the model to replace the continuous policy and investigates the effect on the optimal run time decision for this specific EPQ model. Next, we further expand the scope of the problem to combine the retailer’s stock holding cost into our study. This enhanced EPQ-based model can be used to reflect the situation found in contemporary manufacturing firms in which finished products are delivered to the producer’s own retail stores and stocked there for sale. A second model is developed and studied. With the help of mathematical modeling and optimization techniques, the optimal run times that minimize the expected total system costs comprising costs incurred in production units, transportation, and retail stores are derived, for both models. Numerical examples are provided to demonstrate the applicability of our research results.

scholarly journals Multi-objective economic production quantity model for fully backlogged problem where demand depend on some conditions and permissible delay in payment

2019 ◽  
Vol 10 (3) ◽  
pp. 1106
Author(s):  
Abhishek Kanti Biswas ◽  
Sahidul Islam
Keyword(s):  
Selling Price ◽  
Defective Items ◽  
Multi Objective ◽  
Economic Production ◽  
Permissible Delay In Payment ◽  
Holding Cost ◽  
Epq Model ◽  
Production Quantity ◽  
Nearest Interval Approximation ◽  
The Cost

For any business, inventory system takes a monumental part. Keep this aspect in mind, we formulate multi-objective displayed EPQ model consider with non-instantaneous deteriorating things where production depends on demand and variable demand pattern depends on display self-space, selling price and frequency of advertisement of the item. The customers are more attracted to buy an item by observing self-space, selling price and advertisement. Imperfect materials are now and again come back to providers for a discount or credit. Here price discount is available for deteriorated and defective items. Holding cost varies with time where shortages are allowed and fully backlogged. Fuzzy environment touches the reality instead of the crisp environment. So, we assumed the cost components as Triangular Fuzzy Numbers and Nearest Interval Approximation Method is used to defuzzify the model. Finally, numerical examples as well as  sketches are given to illustrate the model.

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 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.

Design of a Logistics Network in an Organisation for Optimising Logistics Cost and Inventory Using RSM and Genetic Algorithm

2014 ◽  
Vol 592-594 ◽  
pp. 2601-2607 ◽  
Author(s):  
Venkatesh Rajendran ◽  
S.R. Devadasan ◽  
S. Kannan
Keyword(s):  
Genetic Algorithm ◽  
Fuzzy Logic ◽  
Real Life ◽  
Optimization Techniques ◽  
Logistics Cost ◽  
Logistics Network ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Proposed Model ◽  
Production Quantity

The competitive environment of global markets has forced many manufacturers to select the most appropriate logistics for the optimisation of total logistics costs, time and inventory. Cost and time are the two important factors in the competitive market that are often not addressed comprehensively by the researchers. In this study, the genetic algorithms (GAs) and the fuzzy logic techniques are used for optimising a novel mathematical model of the logistics network. The objective of the proposed model is to minimise the costs of production, distribution, holding and backorder. In addition to the optimization of logistics costs, the model can also determine the economic production quantity (EPQ), and with help of the GAs and the Fuzzy logic solver with probability parameters and various dimensions for validation of the studied model in real-life situations, and we compared the outputs to demonstrate the performance of the two optimization techniques . Using Genetic Algorithm and fuzzy logic, the optimized value of the logistics cost, and volume of the logistics network were obtained.

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.

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 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.

Fuzzy Economic Production Quantity Model for Weibull Deteriorating Items with Ramp Type of Demand

2011 ◽  
Vol 2 (3) ◽  
pp. 55-90 ◽  
Author(s):  
R. Uthayakumar ◽  
M. Valliathal
Keyword(s):  
Deteriorating Items ◽  
Quantity Discounts ◽  
Setup Cost ◽  
Economic Production Quantity ◽  
Deterministic Demand ◽  
Economic Production ◽  
Holding Cost ◽  
Production Quantity ◽  
Delay In Payments ◽  
The Cost

This paper discusses an Economic Production Quantity model for Weibull deteriorating items over an infinite time horizon under fuzzy environment. Fuzziness is introduced by allowing the cost components such as setup cost, production cost, holding cost, shortage cost and opportunity cost due to lost sales to certain extent. Triangular fuzzy numbers are used to represent the mentioned costs. Optimum policies of the described models under fuzzy costs are derived. The proposed model can be extended in several ways. For instance, the deterministic demand function to stochastic fluctuating demand patterns could be considered. The model could also be generalized to allow for quantity discounts, as well as permissible delay in payments.

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