Abstract
Planning a highly reliable and efficient system has always been a primary interest for reliability engineers by devising the powerful design strategy and employing effective repair and replacement policy. Keeping in view this, the basic aim of this paper is to analyze the reliability of a system which comprised of two units A and B in which unit A is functional and B is held standby. Unit A after failure may be controlled or uncontrolled. The failed unit undergoes for repair in the controlled unit. If the repair of a unit is not controlled then it is replaced by a new one. Upon the breakdown of operational unit A, unit B come becomes active instantaneously. Unit B after failure is repaired by regular repairmen. System failure takes place when both the units quit serving. The unit serves as good as a fresh after preventive repair and replacement policy. The regenerative point technique has been used to obtain the expression for several reliability measures. Finally, the graphical behavior of MTSF and profit of the present model has been observed for arbitrary values of parameters and costs.
Highlights
The Scientific achievements and ever-increasing urge of the society is making the design of system more complicated
Since the complete control of system failures is bizarre but their strength and effectiveness can be controlled by making use of some costeffective design approach and using suitable repair and replacement policies
Notations and Symbols: θ1= failure rate of unit A when A is in controlled state. θ2= failure rate of unit A when A is in uncontrolled state. γ1= replacement rate of A. α1= failure rate of B
Summary
The Scientific achievements and ever-increasing urge of the society is making the design of system more complicated. Cao et al (1989) obtained reliability analysis of two unit model with replaceable repair facility in the system. Kumar and Malik (2011) obtained profit analysis of computer system and gave priority to software replacement subject to maximum operations and repair times. Barak et al (2017a, 2017b) studied stochastic analysis of two-unit redundant system with priority to inspection over repair. Barak et al (2018) developed a two-unit system with standby and server failure subject to inspection. If failure of the unit A is controlled usual repairperson attends the system to do the repair activities of the failed unit. Notations and Symbols: θ1= failure rate of unit A when A is in controlled state. Θ2= failure rate of unit A when A is in uncontrolled state.
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