Abstract
Here, we analyze stochastically a computer system by taking one more similar unit (called computer system) in cold standby redundancy. The computer system consists of hardware and software components together. The provision of a single service facility has been made for repairing hardware and up-grading the software. The failure of the service facility is considered which resumes the jobs with full efficiency as new after availing treatment. The failure rates of hardware and software components as well as failure rate of the service facility are taken as constant and thus follow negative exponential distribution. The treatment rate of the service facility, repair rate of the hardware and up-gradation rate of the software follow arbitrary distributions with different probability density functions. Efforts have been made to determine reliability measures in steady state by using SMP and RPT. The behavior of MTSF, availability and also the profit function is observed graphically for some particular situations of the parameters.
Highlights
In the era of modern technological world, the use of computer systems has increased extremely in almost all branches of sciences, engineering and public administration in order to complete the assignments in time and with perfectness
The concept of failure of service facility has not been much introduced in the stochastic modeling of computer systems with unit wise redundancy in cold standby
2.2 System Description We describe the following states of the system model: S0 The Initial state in which system has one good unit and the other unit is in cold standby
Summary
In the era of modern technological world, the use of computer systems has increased extremely in almost all branches of sciences, engineering and public administration in order to complete the assignments in time and with perfectness. Manglik and Ram (2013), Ram et al (2013), Zhang (2015), Garg and Kadyan (2016) and Kumar and Goel (2016) discussed reliability models of cold standby systems with different repair strategies These models have been analyzed under a common assumption that service facility remains busy in performing the assigned job continuously without any failure or difficulty. The profit is evaluated by taking cost per unit hardware repair, per unit software up-gradation and cost per unit time paid for treatment of the service facility. Profit function by considering busy period cost of the server per unit time due to hardware repair/ software up-gradation and treatment cost of the server per unit time. Profit function by taking Repair/up-gradation cost per unit time due to failure of hardware/software and treatment cost of the server per unit time.
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