Stochastic analysis of a 2-unit standby system with two failure modes and slow switch

In this paper, we propose a system of two dissimilar units: one unit prioritizes operation (priority unit), and the other unit is kept as a cold standby (ordinary unit). In this system, we assume that the failures, repairs, and preventive maintenance (PM) times follow arbitrary distributions for both units, except for the fact that the repair time of the ordinary unit follows an exponential distribution. The priority unit has normal, partial failure or total failure modes, while the ordinary unit has normal or total failure modes. The PM of the system can be started after time t when (i) the priority unit is in the normal or partial failure modes up to time t and (ii) the standby unit is available up to time t. PM can be achieved in two types: the costlier type with probability p and the cheaper type with probability (1−p). Under these assumptions, we investigate the reliability measures of the system using the regenerative point technique. Finally, we show a numerical example to illustrate the theoretical findings and show the effect of preventive maintenance in the reliability measures of the proposed system.

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Stochastic analysis of a duplicated standby system subject to shocks during repair

Journal of the Egyptian Mathematical Society ◽

10.1016/j.joems.2017.01.003 ◽

2017 ◽

Vol 25 (2) ◽

pp. 186-190 ◽

Cited By ~ 1

Author(s):

M.A.W. Mahmoud ◽

M.Y. Haggag ◽

A.E.B. Abd Elghany

Keyword(s):

Stochastic Analysis ◽

Standby System

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Stochastic analysis of A 1-server n-unit system subject to inspection and several failure modes

Stochastic Analysis and Applications ◽

10.1080/07362998408809037 ◽

1984 ◽

Vol 2 (3) ◽

pp. 267-293 ◽

Cited By ~ 1

Author(s):

R. Subramanyam Naidu ◽

M.N. Gopalan

Keyword(s):

Stochastic Analysis ◽

Failure Modes ◽

Unit System

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Stochastic Analysis of a Two-Unit Cold Standby System Wherein Both Units May Become Operative Depending upon the Demand

Journal of Quality and Reliability Engineering ◽

10.1155/2014/896379 ◽

2014 ◽

Vol 2014 ◽

pp. 1-13 ◽

Cited By ~ 8

Author(s):

Reetu Malhotra ◽

Gulshan Taneja

Keyword(s):

Markov Processes ◽

Stochastic Analysis ◽

The Other ◽

Regenerative Processes ◽

Cold Standby ◽

Standby System ◽

Semi Markov Processes ◽

System Effectiveness

The present paper analyzes a two-unit cold standby system wherein both units may become operative depending upon the demand. Initially, one of the units is operative while the other is kept as cold standby. If the operative unit fails or the demand increases to the extent that one operative unit is not capable of meeting the demand, the standby unit becomes operative instantaneously. Thus, both units may become operative simultaneously to meet the increased demand. Availability in three types of upstates is as follows: (i) when the demand is less than or equal to production manufactured by one unit; (ii) when the demand is greater than whatever produced by one unit but less than or equal to production made by two units; and (iii) when the demand is greater than the produces by two units. Other measures of the system effectiveness have also been obtained in general case as well as for a particular case. Techniques of semi-Markov processes and regenerative processes have been used to obtain various measures of the system effectiveness.

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