A Study on a Single-Unit Markov Repairable System With Repair Time Omission

2006 ◽  
Vol 55 (2) ◽  
pp. 182-188 ◽  
Author(s):  
Z. Zheng ◽  
L. Cui ◽  
A.G. Hawkes
Keyword(s):  
Single Unit ◽  
Repair Time ◽  
Repairable System ◽  
Markov Repairable System

A study on a single-unit repairable system with working and repair time omission under an alternative renewal process

2017 ◽  
Vol 231 (3) ◽  
pp. 232-241 ◽  
Author(s):  
Quan Zhang ◽  
Lirong Cui ◽  
He Yi
Keyword(s):  
Renewal Process ◽  
Single Unit ◽  
Relevant Information ◽  
Performance Measure ◽  
Repair Time ◽  
Repairable System ◽  
Important Work ◽  
System Operation ◽  
Numerical Examples ◽  
Alternative Renewal Process

In this article, we study a single-unit repairable model with working and repair time omission under an alternative renewal process. As the working time is shorter than threshold [Formula: see text], we regard some working states as failure states while observing the system operation. Likewise, some failure states are regarded as working states during the observation, because the repair time is shorter than threshold [Formula: see text]. Traditionally, the system’s performance for an omission system is determined by maximizing its point availability and limiting availability. Nowadays, it is widely recognized that this performance measure does not always provide relevant information for practical purposes. The interval availability is often seen as a more appropriate performance measure. So it is an important work to introduce and derive the point and interval availabilities under model assumptions. Finally, some numerical examples are presented to illustrate the results obtained in this article.

Excess repair time for a repairable system

1990 ◽  
Vol 30 (3) ◽  
pp. 507-509
Author(s):  
G.K. Agrafiotis ◽  
P.R. Parthasarathy ◽  
M. Sharafali
Keyword(s):  
Repair Time ◽  
Repairable System

Replacement Policy for Cold Standby Repairable System with Priority in Use by Using Arithmetico-Geometric Process

2019 ◽  
Vol 27 (03) ◽  
pp. 2050009
Author(s):  
Raosaheb V. Latpate ◽  
Babasaheb K. Thorve
Keyword(s):  
Working Time ◽  
Repair Time ◽  
Replacement Policy ◽  
Repairable System ◽  
Policy System ◽  
Geometric Process ◽  
Long Run ◽  
Cold Standby ◽  
Study Component ◽  
Renewal Cycle

In this paper, we consider the arithmetico-geometric process (AGP) repair model. Here, the system has two nonidentical component cold standby repairable system with one repairman. Under this study, component 1 has given priority in use. It is assumed that component 2 after repair is as good as new, whereas the component 1 follows AGP. Under these assumptions, by using AGP repair model, we present a replacement policy based on number of failures, [Formula: see text], of component 1 such that long-run expected reward per unit time is maximized. For this policy, system can be replaced when number of failure of the component 1 reaches to [Formula: see text]. Working time of the component 1 is AGP and it is stochastically decreasing whereas repair time of the component 1 is AGP which is stochastically increasing. The expression for long-run expected reward per unit time for a renewal cycle is derived and illustrated proposed policy with numerical examples by assuming Weibull distributed working time and repair time of the component 1. Also, proposed AGP repair model is compared with the geometric process repair model.

A study on a single-unit repairable system with state aggregations

2012 ◽  
Vol 44 (11) ◽  
pp. 1022-1032 ◽  
Author(s):  
Lirong Cui ◽  
Shijia Du ◽  
Alan G. Hawkes
Keyword(s):  
Single Unit ◽  
Repairable System

scholarly journals Reliability Analysis of 6-Component Star Markov Repairable System with Spatial Dependence

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Liying Wang ◽  
Qing Yang ◽  
Yuran Tian
Keyword(s):  
Spatial Dependence ◽  
Repairable System ◽  
Analysis Method ◽  
Repairable Systems ◽  
Rate Matrix ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Reliability Indices ◽  
Transition Rate Matrix ◽  
Markov Repairable System

Star repairable systems with spatial dependence consist of a center component and several peripheral components. The peripheral components are arranged around the center component, and the performance of each component depends on its spatial “neighbors.” Vector-Markov process is adapted to describe the performance of the system. The state space and transition rate matrix corresponding to the 6-component star Markov repairable system with spatial dependence are presented via probability analysis method. Several reliability indices, such as the availability, the probabilities of visiting the safety, the degradation, the alert, and the failed state sets, are obtained by Laplace transform method and a numerical example is provided to illustrate the results.

scholarly journals A method for computing total downtime distributions in repairable systems

2003 ◽  
Vol 40 (3) ◽  
pp. 643-653 ◽  
Author(s):  
Suyono ◽  
J. A. M. van der Weide
Keyword(s):  
Failure Time ◽  
Asymptotic Properties ◽  
Laplace Transforms ◽  
Repair Time ◽  
Time Interval ◽  
Repairable System ◽  
Repairable Systems

In this paper we derive the distribution of the total downtime of a repairable system during a given time interval. We allow dependence of the failure time and the repair time. The results are presented in the form of Laplace transforms which can be inverted numerically. We also discuss asymptotic properties of the total downtime.

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