Joint Determination of Economic Design of % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBamXvP5wqonvsaeHbd9wDYLwzYbqe % e0evGueE0jxyaibaieYlf9irVeeu0dXdh9vqqj-hEeeu0xXdbba9fr % Fj0-OqFfea0dXdd9vqaq-JfrVkFHe9pgea0dXdar-Jb9hs0dXdbPYx % e9vr0-vr0-vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaeHbfv % 3ySLgzaGqbciqb-Hfayzaaraaaaa!3AD9! $$ \bar X $$ -Control Charts, Economic Production Quantity, and Production Run Length for a Deteriorating Production System

2004 ◽  
pp. 58-78
Author(s):  
K. K. Lam ◽  
M. A. Rahim
Keyword(s):  
Production System ◽  
Control Charts ◽  
Economic Design ◽  
Run Length ◽  
Economic Production Quantity ◽  
Joint Determination ◽  
Economic Production ◽  
Production Run ◽  
Production Quantity

scholarly journals An EPQ Model for Deteriorating Production System and Items with Rework

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
N. Li ◽  
Felix T. S. Chan ◽  
S. H. Chung ◽  
Allen H. Tai
Keyword(s):  
Production System ◽  
Time Intervals ◽  
Total Cost ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Production Run ◽  
Epq Model ◽  
Production Quantity ◽  
Normal Production ◽  
The Impact

This paper investigates the economic production quantity model jointly considering product deterioration and a deteriorating production system with rework. In this imperfect deteriorating production system, not only does the machine produce defective product but also the machine is subjected to quality deterioration. To be more specific, the defective rate increases at certain time intervals. The defects produced are stored until the end of normal production process. Then they are reworked with extra cost to restore their quality and regarded as perfect product. The main objective is to minimize the total cost per unit product by determining the optimal combination of production run time and backlog quantity. Numerical experiments are carried out to illustrate the behavior of the inventory and show the impact of different parameters on the model. Discussion and conclusions are made at the end of the paper.

scholarly journals Heuristics for the Economic Production Quantity Problem under Restrictions on Production and Maintenance Time

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Qi Xu ◽  
Jianteng Xu
Keyword(s):  
Preventive Maintenance ◽  
Heuristic Algorithms ◽  
Efficient Production ◽  
Maintenance Policy ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Production Run ◽  
Maintenance Time ◽  
Production Quantity ◽  
Run Time

This paper proposes an economic production quantity problem with the maximal production run time and minimal preventive maintenance time over a finite planning horizon. The objective is to find the efficient production and maintenance policy to minimize the total cost composed of production, maintenance, shortages, and holding costs under the restriction on the production run time and the preventive maintenance time. The production and maintenance decisions include the production and maintenance frequencies and the production run and the maintenance time. The variability and the boundedness of the production run and maintenance time make the problem difficult to solve. Two heuristic algorithms are developed using different techniques based on the optimal properties of the relaxed problem. The performance comparison between the two algorithms is illustrated by numerical examples. The numerical results show that, for the most part, there exists a heuristic algorithm which is more effective than the other.

scholarly journals Economic Production Quantity (EPQ) model for three type imperfect items with rework and learning in setup

2013 ◽  
Vol 4 (1) ◽  
pp. 57-65 ◽  
Author(s):  
Arindum Mukhopadhyay ◽  
Adrijit Goswami
Keyword(s):  
Model Performance ◽  
Lot Size ◽  
Setup Cost ◽  
Imperfect Quality ◽  
Economic Production Quantity ◽  
Economic Production ◽  
Production Run ◽  
Imperfect Items ◽  
Production Quantity ◽  
Set Up

Imperfect quality Items are unavoidable in an Inventory system due to imperfect productionprocess, natural disasters, damages, or many other reasons. The setup cost and production cycletime can be related in terms of process deterioration and learning and forgetting effects. Learningreduces production run length and setup cost, whereas deterioration and forgetting increases both.Keeping these facts in mind, this paper investigates an Economic Production Quantity (EPQ) modelwith imperfect quality items with varying set-up costs. Mathematical model and solution proceduresare developed with major insight to its charecteristics. Numerical example and sensitivity analysisare provided to illustrate and analyze the model performance. It is observed that our model has asignificant impacts on the optimal lot size and optimal profit of the model.Classication: 90B05

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