Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns

Chiu, Singa Wang; Wang, Shanling; Chiu, Yuan‐Shyi Peter

doi:10.1016/j.ejor.2006.05.005

Cited by 109 publications

(62 citation statements)

References 17 publications

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“…Lin and Gong (2006) developed EPQ model deteriorating inventory model with machine breakdown and fix repair time. Chiu et al (2007) derived an economic production quantity (EPQ) model with scrap, rework, and stochastic machine breakdowns, assuming some portion of the defective items to be scrapped and the other part to be repairable. Leung (2007) derived a generalized geometric programming solution to an EPQ model with flexibility and reliability considerations.…”

Section: Literature Reviewmentioning

confidence: 99%

A production inventory model with flexible manufacturing, random machine breakdown and stochastic repair time

Singh¹,

Prasher²

2014

10.5267/j.ijiec

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This paper derives a production inventory model over infinite planning horizon with flexible but unreliable manufacturing process and the stochastic repair time. Demand is stock dependent and during the period of sale it depends on reduction on selling price. Production rate is a function of demand and reliability of the production equipment is assumed to be exponentially decreasing function of time. Repair time is estimated using uniform probability density function. The objective of the study is to determine the optimal policy for production system, which maximizes the total profit subject to some constraints under consideration. The results are discussed with a numerical example to illustrate the theory.

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Section: Literature Reviewmentioning

confidence: 99%

A production inventory model with flexible manufacturing, random machine breakdown and stochastic repair time

Singh¹,

Prasher²

2014

10.5267/j.ijiec

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“…Rework is common in Semiconductor, Pharmaceutical, Chemical, Food industries, Textile industries, Paper industries, Glass industries, Metal processing industries and Plastic industries. Barketau et al (2008); Buscher et al (2007); Chiu et al (2007). Ca´rdenas-Barro´ n, L.E., (2008) presented rework with single stage of production system.…”

Section: Introductionmentioning

confidence: 99%

A Multiple Production Setups Inventory Model for Imperfect Items Considering Salvage Value and Reducing Environmental Pollution

Uthayakumar¹,

Sekar²

2017

ORAJ

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This paper presents an imperfect manufacturing system in which production ability can produce items in m production setups and rework the imperfect quality items in one rework setup. Rework is one of the main issues in reverse logistic and green supply chain to reduce production cost and environmental problem. The aim of this research is to minimize the total inventory cost by determining the optimal cycle time and the optimal number of production setups. The convexity of the inventory model is derived by using mathematical software. The result is illustrated with numerical example for the model. The effects of the problem parameters upon the optimal solution are examined numerically. This model can be applied to optimizing the total inventory cost for the business enterprises where production rate and demand rate are time dependent and salvage value is incorporated to the deteriorated items.

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“…According to this policy, a refill order of amount Q is placed every time the available inventory level falls to r, or when T amounts of time have passed since the last occasion the inventory position reaches Q, whichever happens first. Chiu and Wang (2007) developed an EPQ model with the consideration of scrap, rework and stochastic machine breakdowns. They assumed random breakdown of machine and no resumption (NR) policy in their proposed model.…”

Section: Introductionmentioning

confidence: 99%

An integrated production inventory model of deteriorating items subject to random machine breakdown with a stochastic repair time

Luong¹,

Karim²

2017

10.5267/j.ijiec

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In a continuous manufacturing environment where production and consumption occur simultaneously, one of the biggest challenges is the efficient management of production and inventory system. In order to manage the integrated production inventory system economically it is necessary to identify the optimal production time and the optimal production reorder point that either maximize the profit or minimize the cost. In addition, during production the process has to go through some natural phenomena like random breakdown of machine, deterioration of product over time, uncertainty in repair time that eventually create the possibility of shortage. In this situation, efficient management of inventory & production is crucial. This paper addresses the situation where a perishable (deteriorated) product is manufactured and consumed simultaneously, the demand of this product is stable over the time, machine that produce the product also face random failure and the time to repair this machine is also uncertain. In order to describe this scenario more appropriately, the continuously reviewed Economic Production Quantity (EPQ) model is considered in this research work. The main goal is to identify the optimal production uptime and the production reorder point that ultimately minimize the expected value of total cost consisting of machine setup, deterioration, inventory holding, shortage and corrective maintenance cost.

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Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns

Cited by 109 publications

References 17 publications

A production inventory model with flexible manufacturing, random machine breakdown and stochastic repair time

A production inventory model with flexible manufacturing, random machine breakdown and stochastic repair time

A Multiple Production Setups Inventory Model for Imperfect Items Considering Salvage Value and Reducing Environmental Pollution

An integrated production inventory model of deteriorating items subject to random machine breakdown with a stochastic repair time

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