A standby system with two types of repair persons

Bieth, Bruno; Hong, Liang; Sarkar, Jyotirmoy

doi:10.1002/asmb.801

Cited by 3 publications

(14 citation statements)

References 19 publications

(28 reference statements)

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“…Thus, under the limiting availability criterion alone, for the system supported by two spare units, the MRE-DPT model is the best, so long as the patience time is not too long, namely T ≤ 1.62. This is in agreement with the result of [2] for the one spare unit system.…”

Section: Comparison Of Modelssupporting

confidence: 92%

“…In this paper, we extend [2] by adding another spare unit to a cold standby repairable system consisting of two identical units and serviced by two types of repair persons. In a situation where component lifetime is short and repair time is long, multiple spare units are necessary to improve the reliability characteristics of the system.…”

Section: Discussionmentioning

confidence: 99%

“…[13] calls in the expert as soon as the patience time is over or the system fails. Although they claim to allow arbitrary life-, repair-and patience time distributions, their results are correct only under exponential life-and exponential repair times, as pointed out in [2]. [14] allows a random pre-inspection time for the regular repairer to determine whether he is able to repair a failed unit or not.…”

Section: Literature Reviewmentioning

confidence: 99%

“…If he is capable of repairing, he starts the repair; otherwise, the expert is called immediately. [2] studies Models (1)-( 4), when there is only one spare unit. They obtain limiting availability and limiting profit per unit time using the SMP technique under exponential life-and repair times.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Suppose that S = 1. The choice of T , which causes A ∞ to be the same (or equivalently, that causes µ 2 to be the same) under both RPT and DPT policies, is given by (see [2] for further details)…”

Section: Comparison Of Modelsmentioning

confidence: 99%

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A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers

Andalib¹,

Sarkar²

2019

Preprint

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We study a one-unit repairable system, supported by two identical spare units on cold standby, and serviced by two types of repairers. The model applies, for instance, to ANSI 1 centrifugal pumps in a chemical plant. The failed unit undergoes repair either by an in-house repairer within a random or deterministic patience time, or else by a visiting expert repairer. The expert repairs one or all failed units before leaving, and does so faster but at a higher cost rate than the regular repairer. Four models arise depending on the number of repairs done by the expert and the nature of the patience time. We compare these models based on the limiting availability A ∞ , and the limiting profit per unit time ω, using semi-Markov processes, when all distributions are exponential. As anticipated, to maximize A ∞ , the expert should repair all failed units. To maximize ω, a suitably chosen deterministic patience time is better than a random patience time. Furthermore, given all cost parameters, we determine the optimum number of repairs the expert should complete, and the optimum patience time given to the regular repairer in order to maximize ω.

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Section: Comparison Of Modelssupporting

confidence: 92%

Section: Discussionmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Comparison Of Modelsmentioning

confidence: 99%

See 3 more Smart Citations

A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers

Andalib¹,

Sarkar²

2019

Preprint

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Conditional Hitting Time and Mean Residual life in Semi-Markov Models

Khorshidian

Fathizadeh

2022

Preprint

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The mean residual life (MRL) in the repairable systems will have been introduced and a formula for its calculating presented based on the conditional distribution of the excess life for semi-Markov processes (SMPs). Moreover, the first hitting time to some specified state given the past history of the SMP has been presented besides calculating its expected value. By the best of our knowledge, it seems that there does not exist any specific research related to the issue of the MRL function in the area of repairable systems with semi-Markov structure. Nevertheless, there are a large amount of studies related to the various aspects of reliability systems, where almost all of them employ the MRL function and emphasis on the significant importance and applications of it. So, these studies and applications motivated us to examine the MRL function for repairable systems. As an application, a two unit cold standby system with a repairman has been considered as a semi-Markov model and the associated MRL has been studied in details.

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A System with Two Spare Units, Two Repair Facilities, and Two Types of Repairers

Andalib

Sarkar

2022

Mathematics

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Assuming exponential lifetime and repair time distributions, we study the limiting availability A∞ as well as the per unit time-limiting profit ω of a one-unit system having two identical, cold standby spare units using semi-Markov processes. The failed unit is repaired either by an in-house repairer within an exponential patience time T or by an external expert who works faster but charges more. When there are two repair facilities, we allow the regular repairer to begin repair or to continue repair beyond T if the expert is busy. Two models arise accordingly as the expert repairs one or all failed units during each visit. We show that (1) adding a second spare to a one-unit system already backed by a spare raises A∞ as well as ω; (2) thereafter, adding a second repair facility improves both criteria further. Finally, we determine whether the expert must repair one or all failed units to maximize these criteria and fulfill the maintenance management objectives better than previously studied models.

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A standby system with two types of repair persons

Cited by 3 publications

References 19 publications

A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers

A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers

Conditional Hitting Time and Mean Residual life in Semi-Markov Models

A System with Two Spare Units, Two Repair Facilities, and Two Types of Repairers

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