Profit analysis of a cold standby system with two repair distributions

Goel, L.R.; Gupta, Rakesh; Singh, Shubham

doi:10.1016/0026-2714(85)90198-2

Cited by 15 publications

(8 citation statements)

References 4 publications

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“…Some authors [1,4] incorporated the concept of two repairmen to repair the failed units. But they did not take into account the vacations of the repairmen, which may happen when the repairman is not a regular worker.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman

Tiwari¹,

Singh²

2010

Economic Quality Control

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In this paper a system consisting of two subsystems A and B is analyzed. A has only one unit while B has two units, B 1 and B 2 , connected in such a manner that B 2 is in hot standby with B 1 . The system is modelled by a marked point process. There are two repairmen namely a supervisor and a novice. The supervisor is always present, while the novice might be in vacation. Two types of failure of the components of B are considered. The model is analyzed under "preemptive-repeat repair discipline". By employing Laplace transformation and assuming the Gumbel-Hougaard copula, the state transition probabilities, reliability, availability and expected profit are obtained along with the steady state behaviour of the system. At the end some special cases of the system are investigated.

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Section: Introductionmentioning

confidence: 99%

Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman

Tiwari¹,

Singh²

2010

Economic Quality Control

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“…al. [3][4][5][6][7]10] analyzed two-unit cold standby system models assuming the three modes of each unit-Normal (N), Partial failure (P) and Total failure (F).They have considered a single repairman who repairs a unit failed partially or totally under the stringent assumptions…”

Section: Introductionmentioning

confidence: 99%

Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units

Kumar¹,

Sirohi²

2015

IJCA

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The paper presents the profit analysis of a two unit cold standby system with delayed repair of partially failed unit and better utilization of units. It is assumed that the system stops functioning only when both the units fail. The failure time distributions and delayed time distribution of each unit are assumed to be negative exponential with different parameters whereas the repair time distributions are taken to general. Formulas for various reliability indices of the system including availability, busy period analysis of the repairman, and profit function analysis by using the regenerative point technique are derived.

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“…In last decades there has been a growing interest among researchers (Gupta and Agarwal, 1984; in the reliability analysis of complex system incorporating one repairman. Of course there are researchers (Garg and Goel, 1985;Gupta and Sharma, 1993;Goel and Gupta, 1985) who modeled the complex system incorporating two repairmen or two repair facilities or two repair distributions. But they did not include the vacations of repairman in their study.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Risky Two Unit System under Marked Process Incorporating Two Repairmen with Vacations

Tiwari¹,

Singh²

2015

JRACR

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In this paper the system considered consists of two subsystems A and B. Subsystem A has only one unit whereas subsystem B consists of two homogeneous units B 1 and B 2 . Here B 2 is in hot standby with B 1 . In the present study we have incorporated two repairmen namely supervisor and novice to repair the failed units of the system. The supervisor is always there whereas the novice remains in vacation. The system is analyzed under "Preemptiveresume-repair discipline". We have used supplementary variable technique, Laplace transformation and copula to obtain various transition state probabilities, reliability, availability, cost analysis and the steady state behaviour of the system. To make a comparison between the measures obtained using two families of copulas Gumbel-Hougaard family and Bivariate Clayton, the model has been solved with the help of Gumbel-Hougaard family of copula and Bivariate Clayton copula both in two different cases. Also a comparison between two types of repair policies "Head-of-line-repair" and "Preemptive-resume-repair" has been carried out. At last some numerical examples have been taken.

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Profit analysis of a cold standby system with two repair distributions

Cited by 15 publications

References 4 publications

Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman

Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman

Profit Analysis of a Two-Unit Cold Standby System with Delayed Repair of Partially Failed Unit and Better Utilization of Units

Analysis of a Risky Two Unit System under Marked Process Incorporating Two Repairmen with Vacations

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