A note on the mean residual life of a coherent system with a cold standby component

2016 ◽  
Vol 46 (20) ◽  
pp. 10348-10358 ◽  
Author(s):  
Ahmad Mirjalili ◽  
Mohammad Khanjari Sadegh ◽  
Majid Rezaei
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Coherent System ◽  
Cold Standby ◽  
The Mean

scholarly journals Preservation of the mean residual life order for coherent and mixed systems

2019 ◽  
Vol 56 (01) ◽  
pp. 153-173 ◽  
Author(s):  
Bo H. Lindqvist ◽  
Francisco J. Samaniego ◽  
Nana Wang
Keyword(s):  
Residual Life ◽  
Stochastic Order ◽  
Mean Residual Life ◽  
Coherent System ◽  
Hazard Rate Order ◽  
Stochastic Orderings ◽  
Mean Residual Life Order ◽  
The Mean ◽  
Point Of Departure ◽  
Mixed Systems

AbstractThe signature of a coherent system has been studied extensively in the recent literature. Signatures are particularly useful in the comparison of coherent or mixed systems under a variety of stochastic orderings. Also, certain signature-based closure and preservation theorems have been established. For example, it is now well known that certain stochastic orderings are preserved from signatures to system lifetimes when components have independent and identical distributions. This applies to the likelihood ratio order, the hazard rate order, and the stochastic order. The point of departure of the present paper is the question of whether or not a similar preservation result will hold for the mean residual life order. A counterexample is provided which shows that the answer is negative. Classes of distributions for the component lifetimes for which the latter implication holds are then derived. Connections to the theory of order statistics are also considered.

scholarly journals Limiting behaviour of the mean residual life

2003 ◽  
Vol 55 (1) ◽  
pp. 217-226 ◽  
Author(s):  
David M. Bradley ◽  
Ramesh C. Gupta
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Limiting Behaviour ◽  
The Mean

A degradation model for maintenance improvement in respect of cost and availability

2015 ◽  
Vol 21 (1) ◽  
pp. 55-69 ◽  
Author(s):  
Christophe Letot ◽  
Pierre Dehombreux ◽  
Edouard Rivière-Lorphèvre ◽  
Guillaume Fleurquin ◽  
Arnaud Lesage
Keyword(s):  
Preventive Maintenance ◽  
Residual Life ◽  
Operating Time ◽  
Hitting Times ◽  
Mean Residual Life ◽  
Reliability Model ◽  
Content Type ◽  
Degradation Data ◽  
Specific Item ◽  
The Mean

Purpose – The purpose of this paper is to highlight the need for degradation data in order to improve the reliability and the mean residual life estimation of a specific item of equipment and to adapt the preventive maintenance tasks accordingly. Design/methodology/approach – An initial reliability model which uses a degradation-based reliability model that is built from the collection of hitting times of a failure threshold. The proposed maintenance model is based on the cost/availability criterion. The estimation of both reliability and optimum time for preventive maintenance are updated with all new degradation data that are collected during operating time. Findings – An improvement for the occurrences of maintenance tasks which minimizes the mean cost per unit of time and increases the availability. Practical implications – Inspection tasks to measure the degradation level should be realized at least one time for each item of equipment at a specific time determined by the proposed methodology. Originality/value – The introduction of a criterion which helps the maintainer to decide to postpone or not the preventive replacement time depending on the measured degradation level of a specific item of equipment.

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