An optimal production run time with imperfect production processes and allowable shortages

Chung, Kun‐Jen; Hou, Kuo-Lung

doi:10.1016/s0305-0548(01)00091-0

Cited by 139 publications

(64 citation statements)

References 23 publications

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“…This paper extend the work of Chung and Hou (2003) and Lin and Gong (2011) by incorporating 2(two) imperfect KPS considering shortage on EPQ model. Based on the numerical example it can be shown that the proposed model and its solution methodology works on 8 (eight) sample problems.…”

Section: Numerical Examplessupporting

confidence: 51%

“…Shortage is common in practical situation, when the producer is realized that its customers loyal to their product. This paper is extending the work of Chung and Hou (2003) and Lin and Gong (2011) by combining both works into a new EPQ model that consider 2 (two) imperfect KPS and shortage. The organization of this paper is as follow: Sect.…”

Section: Introductionmentioning

confidence: 76%

“…While those above mentioned researches discussed on EPQ model without shortage, the research conducted by Chung and Hou (2003) extended the work of Rosenblatt and Lee (1986) by incorporating the shortage into their model. Shortage itself can be defined as the situation when the customer order arrive but the finished good are not yet available.…”

Section: Introductionmentioning

confidence: 99%

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An EPQ with Shortage Backorders Model on Imperfect Production System Subject to Two Key Production Systems

Bawono

Astanti

Wibowo

2013

Proceedings of the Institute of Industrial Engineers Asian Conference 2013

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This paper is an extension of the work of Lin and Gong (2011) on Economic Production Quantity (EPQ) model on an imperfect production system over infinite planning horizon, where the production system is dictated by two unreliable key production subsystems (KPS). While any shortage on the inventory of product was not allowed in the model of Lin and Gong (2011), planned shortage backorders is considered in the model proposed in this paper. The mathematical model is developed in order to determine production run time (s) and production time when backorder is replenished (T 1 ) that minimizes the expected total cost per unit time including setup, inventory carrying, shortage, and defective costs. Approaches to solve the model are also being proposed in this paper, altogether with some numerical examples.

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Section: Numerical Examplessupporting

confidence: 51%

Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An EPQ with Shortage Backorders Model on Imperfect Production System Subject to Two Key Production Systems

Bawono

Astanti

Wibowo

2013

Proceedings of the Institute of Industrial Engineers Asian Conference 2013

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“…Incoming lots of raw material containing items of imperfect quality that occur as a random fraction with a known probability distribution, undergo a screening in which defective items in the lot are removed by the end of the screening period and sold at a discounted price. Chung and Hou (2003) developed a model to determine an optimal production run time with imperfect production processes and allowable shortage. In the model of Wang (2004), an imperfect EMQ model for production which are repaired and sold under a free-repair warranty policy (i.e., the cost incurred by a defective item after its sale) discussed by Yeh et al (2000) has been extended to consider general shift distribution.…”

Section: Introductionmentioning

confidence: 99%

Coordination policy for a three echelon supply chain considering imperfect quality items

Singh¹,

Vaish²,

Singh³

2014

10.5267/j.ijiec

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In this study, we develop a three echelon supply chain model for items to determine the optimal reliability and production rate, which achieves the biggest total integrated profit for an imperfect manufacturing process. Here, we have taken a supplier, a manufacturer and a retailer in which supplier supplies raw materials to manufacturer, manufacturer produces perfect and imperfect quality items because practically it happens and manufacturer supplies perfect quality items to the retailers. In production system, production facility may shift from an in-control state to an out-ofcontrol state at any random time. The basic assumption of classical economic manufacturing quantity model is that all manufacturing items are of perfect quality but the assumption is not true in practice. The proposed study is formulated assuming that a certain percent of total product is defective. This percentage also varies with production rate and production run time. The defective items are restored in original quality by reworked at some costs to maintain the quality of products in a competitive market. Finally, numerical example and its graphical representation are given to illustrate the proposed model. Sensitivity analysis is also provided to test feasibility of the model.

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“…They focused on simultaneously determining of the optimal batch size and the optimal inspection schedule. Many subsequent extensions have been undertaken based on Rosenblatt and Lee's models such as in Kim and Hong (1999) and Chung and Hou (2003). In recent years, the joint production system breakdowns and process quality deterioration problems have been investigated in EPQ model by Chiu et al (2007), Liao et al (2009), Chakraborty et al (2009) and Sana and Chaudhuri (2010).…”

Section: Introductionmentioning

confidence: 99%

Joint production and quality control of unreliable batch manufacturing systems with rectifying inspection

Bouslah

Gharbi

Pellerin

2013

International Journal of Production Research

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Production control policy and economic sampling plan design problems have been studied separately in previous research. This paper considers a joint production control policy and economic single sampling plan design for an unreliable batch manufacturing system. The production is controlled by a modified hedging point policy which consists in building and maintaining a safety stock of finished product to avoid shortages during corrective maintenance. The main objective of this paper is to determine simultaneously the economic production quantity, the optimal safety stock level and the economic sampling plan design which minimize the expected overall cost. A stochastic mathematical model is developed and solved using a simulation optimization approach based on the response surface methodology. Simulation is used to imitate the complex dynamic and stochastic behaviour of processes as in the real-life industrial systems. The obtained results show clearly strong interactions between production quantity, inventory state and sampling plan design which confirm the necessity of jointly considering production and quality control parameters in an integrated model. Moreover, it is shown a significant impact of production system reliability on the economic sampling plan design and therefore on the quality of finished product delivered to consumers. Numerical example and sensitivity analyses are presented for illustrative purposes.

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An optimal production run time with imperfect production processes and allowable shortages

Cited by 139 publications

References 23 publications

An EPQ with Shortage Backorders Model on Imperfect Production System Subject to Two Key Production Systems

An EPQ with Shortage Backorders Model on Imperfect Production System Subject to Two Key Production Systems

Coordination policy for a three echelon supply chain considering imperfect quality items

Joint production and quality control of unreliable batch manufacturing systems with rectifying inspection

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