An optimal production lot-sizing problem for an imperfect process with imperfect maintenance and inspection time length

Wang, Pe-Cheng; Lin, Ya-Hui; Chen, Yan-Chun; Chen, Jen‐Ming

doi:10.1080/00207720902974645

Cited by 19 publications

(11 citation statements)

References 15 publications

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“…Wee et al (2007) established optimal inventory model for items with imperfect quality and shortage backordering. Wang et al (2009) developed an optimal production lot-sizing problem for an imperfect process with imperfect maintenance and inspection time length. Sarkar and Moon (2011) developed an economic production quantity (EPQ) model with inflation in an imperfect production system.…”

Section: Literature Reviewmentioning

confidence: 99%

Optimal strategy for an inventory model based on agile manufacturing under imperfect production process

Dem

Singh

Parasher

2019

IJMOR

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This paper presents a production inventory model over infinite planning horizon with manufacturing process producing both perfect as well as imperfect items. Demand is stock dependent for perfect quality items and for imperfect items it depends on the reduction rate of selling price and the amount of imperfect production. The production rate is a function of demand. Reliability of the manufacturing system is assumed to be exponentially decreasing function of time. The objective is to determine the optimal policy for production system which maximises the total profit subject to some constraints under consideration. The results are discussed with a numerical example to illustrate the theory. The effects of important parameters on decision policy are also analysed through sensitivity analysis.

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Section: Literature Reviewmentioning

confidence: 99%

Optimal strategy for an inventory model based on agile manufacturing under imperfect production process

Dem

Singh

Parasher

2019

IJMOR

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“…Note that in the above calculations, we rewrite expression (12) as (12#). This is due to the fact that when j nÀ1 \ X Ã iÀ1 4j n and n4j4k, there is no uniform expression of Et ij since Et in =…”

Section: Formulation Of the Modelmentioning

confidence: 99%

Modeling condition-based maintenance and replacement strategies for an imperfect production-inventory system

Cheng

Zhou

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part B:

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In this article, we consider an imperfect production-inventory system which produces a single type of product to meet the constant demand. The system deteriorates stochastically with usage and the deterioration process is modeled by a non-stationary gamma process. The production process is imperfect which means that the system produces some nonconforming items and the product quality depends on the degradation level of the production system. To prevent the system from deteriorating worse and improve the product quality, preventive maintenance is performed when the level of the system degradation reaches a certain threshold. However, the preventive maintenance is imperfect which cannot restore the system as good as new. Hence, the aging system will be replaced by a new one after some production cycles. The preventive maintenance cost, the replacement cost, the production cost, the inventory holding cost and the penalty cost of lost sales are considered in this article. The objective is to minimize the total cost per unit item which depends on two decision variables: the preventive maintenance threshold and the time at which the system is replaced. We derive the explicit expression of the total cost per unit item and the optimal joint policy can be obtained numerically. An illustrative example and sensitivity analysis are given to demonstrate the proposed model.

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“…Liao et al, [16] integrated maintenance and production programs with EPQ model considered the impact of restoration action such as imperfect repair, rework and PM on the damage of a deteriorating production system. Wang et al, [25] developed an integrated model in considering the situations of an imperfect process with imperfect maintenance, two types of out-of-control states and inspection time for the joint determination of both EPQ and PM level.…”

Section: Introductionmentioning

confidence: 99%

Optimal production and inspection strategy of an integrated economic model for imperfect production system

Lin¹,

Lin

2012

Journal of Statistics and Management Systems

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In this research, we derive an integrated model of economic production quantity, inspection and preventive maintenance to incorporate rework, minimal repair and inspection time for an imperfect production system. This imperfect process may shift to the outof-control state and produces non-conforming items. We assume that some proportions of non-conforming items are scrap before the rework process start and others are reworked. The rework process is imperfect that is a proportion of the reworked items fail the repairing and become scrap items. In a system with process deterioration, we derive the optimal solutions for the inspection interval, inspection frequency and economic production quantity. And numerical analysis is provided to analyze the eff ect of rework, minimal repair and inspection time on profi t.

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An optimal production lot-sizing problem for an imperfect process with imperfect maintenance and inspection time length

Cited by 19 publications

References 15 publications

Optimal strategy for an inventory model based on agile manufacturing under imperfect production process

Optimal strategy for an inventory model based on agile manufacturing under imperfect production process

Modeling condition-based maintenance and replacement strategies for an imperfect production-inventory system

Optimal production and inspection strategy of an integrated economic model for imperfect production system

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