Analysis of a two-unit system with partial failures and three types of repairs

Tuteja, R.K.; Arora, Raman; Taneja, Gulshan

doi:10.1016/0951-8320(91)90059-g

Cited by 12 publications

(5 citation statements)

References 5 publications

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“…Osaki [4] and Taneja et al [7] investigated reliability models of such systems with different failure rate and different repair facilities. Tuteja and Taneja [6] worked on warm standby system.…”

Section: Introductionmentioning

confidence: 99%

Cost-Benefit Analysis of Two Identical Warm Standby System Subject to Under Heavy Rain With Partially Operative After Repair

Singh¹,

Singh²,

Saini³

2017

Int. J. of Pure and Appl. Math.

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The aim of this paper is to improve the reliability through regenerative point technique. In this paper two identical units in the warm standby system are considered. The standby component is referred as 'warm standby' when the failure rate is nonzero and is less than the failure rate of a primary component. Each unit of the system has three modes via; operative, failed and partially operative. The failure and repair times follow exponential and general time distributions respectively. We transform the basic equations of the proposed model into an integro-differential equations and solve it by semi-Markov processes. Using the regeneration point technique several reliability characteristics have been obtained. Various reliability parameters such as mean time to system failure, availability, busy period, number of visit periods by repairman and profit have been computed and analyzed by graphical illustrations.

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Section: Introductionmentioning

confidence: 99%

Cost-Benefit Analysis of Two Identical Warm Standby System Subject to Under Heavy Rain With Partially Operative After Repair

Singh¹,

Singh²,

Saini³

2017

Int. J. of Pure and Appl. Math.

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“…For example, Tuteja et al (1991) deal with maintenance models for a two-unit cold-standby system with three different modes. Several kinds of models on repairmen are considered and compared.…”

Section: Introductionmentioning

confidence: 99%

Optimal maintenance policy of multiple parts with operating cost dependent on repair level

Nakade¹,

Mikuri²

2016

JAMDSM

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This paper discusses properties of a preventive maintenance policy in multiple part preventive maintenance problems theoretically and numerically. A product such as a machine or an engine consists of multiple important identical parts. Parts are periodically inspected and if a part has a crack then it is either repaired or replaced with new one. If crack of a part is over the critical level then it must be replaced, because it leads to machine's breakdown and a serious problem. In some kinds of machines, using repaired parts will incur an additional operating cost, because of decrease of its performance. Repair and operation costs are also needed for maintenance. In this paper, an optimal part repair and replacement policy is developed theoretically and numerically. The model is described and formulated as a Markov decision process. For no fixed repair cost it is divided into identical single part maintenance problems, and sufficient conditions under which a threshold type policy is optimal are presented theoretically. Then the cases that optimal policies are not of threshold type are illustrated by numerical experiments.

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“…Though many researchers made meaningful contributions a lot in the field of system reliability modelling, fewer studies have reported the comparative analysis of different types of systems. Tuteja et al ( 1991 ), Alidrisi ( 1992 ), Mokaddis et al ( 1994 ), Pan ( 1997 ), Chandrasekhar et al ( 2004 ) and Xu et al ( 2005 ) analysed the reliability and availability of standby systems by studying various parameter viz. partial failures, perfect or imperfect switching, Erlangian repair time and three types of repair facilities.…”

Section: Introductionmentioning

confidence: 99%

Comparative study between a single unit system and a two-unit cold standby system with varying demand

Malhotra

Taneja

2015

SpringerPlus

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The concerned paper illustrates the comparison of two stochastic models of a cable manufacturing plant with varying demand. Here, it shows the comparison between a single unit system (Model 1) and a two-unit cold standby system (Model 2). In Model 1, the system is either in working state on some demand or put to shut down mode on no demand. In Model 2, at initial stage, one of the units is operative while the other is kept as cold standby. At times when the operative unit stops working due to some breakdown/failure, the standby unit instantaneously becomes operative while the repairman repairs the failed unit. In this working model, only one unit remains operative at a time. However, there may be a state when both the units fail. The comparison of systems is done by means of MTSF (mean time to system failure), steady state availability and profit function using Laplace transforms and software package Code-Blocks 13.12. Different graphs have been plotted to discover which model is superior to the other model under the given conditions. The system is analysed by making use of semi-Markov processes and regenerative point technique.

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Analysis of a two-unit system with partial failures and three types of repairs

Cited by 12 publications

References 5 publications

Cost-Benefit Analysis of Two Identical Warm Standby System Subject to Under Heavy Rain With Partially Operative After Repair

Cost-Benefit Analysis of Two Identical Warm Standby System Subject to Under Heavy Rain With Partially Operative After Repair

Optimal maintenance policy of multiple parts with operating cost dependent on repair level

Comparative study between a single unit system and a two-unit cold standby system with varying demand

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