Production lot sizing with process deterioration and machine breakdown

Chakraborty, Tulika; Giri, Bibhas C.; Chaudhuri, Kripasindhu

doi:10.1016/j.ejor.2007.01.011

Cited by 78 publications

(38 citation statements)

References 27 publications

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“…(7) When the production process shifts to outof-control state, the manufacturer takes the corrective maintenance immediately and the corrective maintenance can be completed before the next production run. Many studies have the same assumption (Rosenblatt and Lee 1986;Hariga and Ben-Daya 1998;Kim, Hong, and Chang, 2001;Chakraborty et al 2008;Chakraborty et al 2009;Tsao 2009;Sana 2010). (8) All the defective items could be repaired immediately.…”

Section: Model Formulationmentioning

confidence: 92%

“…(4) The elapsed time until the production process shifts,, is a random variable and assumed to be exponentially distributed with a mean of 1=. Several studies have the same assumption (Rosenblatt and Lee 1986;Chakraborty et al 2008;Tsao 2009;Sana 2010, etc.). (5) The system reliability increases if the manufacturer takes the preventive maintenance more frequently (Tseng 1996).…”

Section: Model Formulationmentioning

confidence: 99%

“…Lee and Rahim (2000), Rahim and Ben-Daya (2001), and Rahim and Ohta (2005) studied the integrated production, quality and maintenance models for imperfect production systems. Recently, Chakraborty, Giri, and Chaudhuri (2008) extended Lee's model (1986) to consider possible system breakdown. Chakraborty, Giri, and Chaudhuri (2009) further considered the same condition under an inspection schedule.…”

Section: Introductionmentioning

confidence: 99%

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Combined production-maintenance decisions in situations with process deterioration

Tsao

2013

International Journal of Systems Science

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This article addresses an imperfect production system with process deterioration and how best to maintain the system. In the system there is a constant percentage to produce defective products in the 'in-control' state and a higher percentage to produce defective products in the 'out-of-control' state. The production process may shift randomly from an in-control state to an out-of-control state during a production run; i.e. system process deterioration. This article considers both preventive maintenance and corrective maintenance. The objective is to determine the optimal production run time and preventive maintenance frequency while still minimising the total annual cost. We provide two efficient algorithms for solving the problems when considering the preventive maintenance frequency as discrete and continuous, respectively. Finally, we apply a numerical analysis to study the effects of changing parameter values on the optimal solutions and to point out some management implications.

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Section: Model Formulationmentioning

confidence: 92%

Section: Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Combined production-maintenance decisions in situations with process deterioration

Tsao

2013

International Journal of Systems Science

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“…If process was 'in-control' state, then either (i) no action was taken until process shifted to 'out-of-control' or (ii) preventive repair action was undertaken. Chakraborty, Giri, and Chaudhuri (2008) extended the model of Giri and Dohi (2007) by incorporating the possibility of machine breakdown, consequently, production process stops totally. Sana and Chaudhuri (2010) extended the same model by introducing the safety stock in the inventory system that kept to protect against shortages during machine repairing time.…”

Section: Introductionmentioning

confidence: 99%

EPQ model with learning consideration, imperfect production and partial backlogging in fuzzy random environment

Kumar

Goswami

2013

International Journal of Systems Science

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The article scrutinises the learning effect of the unit production time on optimal lot size for the uncertain and imprecise imperfect production process, wherein shortages are permissible and partially backlogged. Contextually, we contemplate the fuzzy chance of production process shifting from an 'in-control' state to an 'out-of-control' state and re-work facility of imperfect quality of produced items. The elapsed time until the process shifts is considered as a fuzzy random variable, and consequently, fuzzy random total cost per unit time is derived. Fuzzy expectation and signed distance method are used to transform the fuzzy random cost function into an equivalent crisp function. The results are illustrated with the help of numerical example. Finally, sensitivity analysis of the optimal solution with respect to major parameters is carried out.

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“…The utilization of facility is an important issue in recent literature (Einhorn, 1987;Hou, 2007;Chakraborty et al, 2008). Many managers treat the utilization of facility as an index of production efficiency or expect the industries will run their production facility at an optimum level (Sharma, 2008).…”

Section: Introductionmentioning

confidence: 99%

EPQ models for deteriorating items with linearly discounted backordering under limited utilization of facility

Teng¹

2013

Afr. J. Bus. Manage.

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This study presents an economic production quantity model for deteriorating items in which backorder is allowed. The selling price of backorder depends on the customers that are willing to purchase the items under the condition that they receive their orders after a certain fraction of waiting time. The utilization of facility is an important index of production efficiency in the opportunity cost perspectives. This model considers both the impact of discounted selling price of backorder and the utilization rate of facility during the production process. Numerical examples and sensitivity analysis are given to illustrate the model.

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Production lot sizing with process deterioration and machine breakdown

Cited by 78 publications

References 27 publications

Combined production-maintenance decisions in situations with process deterioration

Combined production-maintenance decisions in situations with process deterioration

EPQ model with learning consideration, imperfect production and partial backlogging in fuzzy random environment

EPQ models for deteriorating items with linearly discounted backordering under limited utilization of facility

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