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Reliability Modeling of A Cloud System with Independent H/W and S/W Failure Subject to Maximum Operation and Repair Times with Regenerative Point Technique


Affiliations
1 Research Scholar Singhania University, Rajasthan, India
2 Research Supervisor, Pt. N. R. S.Govt. College, Rohtak, Haryana, India
     

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In this paper reliability and economic measures of a cloud system having independent h/w and s/w failure. For this purpose, a reliability model is developed considering cloud system as a single unit. A perfect server is provided to do preventive maintenance, repair and replacement of the components upon their failures immediately, can not leave the system during job. After a maximum operation time the unit undergoes for preventive maintenance directly from normal mode. If repair of the component is not possible up to a pre-specific time (called Maximum Repair Time), the components are replaced by new one with some replacement time. However, only replacement of the software components by new one is made after failures. The failure time of the components follow negative exponential distribution, while the distributions of preventive maintenance, repair and replacement time are taken as arbitrary with different probability density functions. The switches are perfect. Various reliability indices are obtained using semi-Markov process and regenerative point technique. Graphs are drawn for a particular case to depict the behavior of MTSF, availability and profit function.

Keywords

Reliability modeling, Cloud system, Maximum operation and repair times, Semi-Markov process
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  • Reliability Modeling of A Cloud System with Independent H/W and S/W Failure Subject to Maximum Operation and Repair Times with Regenerative Point Technique

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Authors

Syed Shahid Shaukat
Research Scholar Singhania University, Rajasthan, India
Uday singh Rawat
Research Scholar Singhania University, Rajasthan, India
Rajiv Kumar
Research Supervisor, Pt. N. R. S.Govt. College, Rohtak, Haryana, India

Abstract


In this paper reliability and economic measures of a cloud system having independent h/w and s/w failure. For this purpose, a reliability model is developed considering cloud system as a single unit. A perfect server is provided to do preventive maintenance, repair and replacement of the components upon their failures immediately, can not leave the system during job. After a maximum operation time the unit undergoes for preventive maintenance directly from normal mode. If repair of the component is not possible up to a pre-specific time (called Maximum Repair Time), the components are replaced by new one with some replacement time. However, only replacement of the software components by new one is made after failures. The failure time of the components follow negative exponential distribution, while the distributions of preventive maintenance, repair and replacement time are taken as arbitrary with different probability density functions. The switches are perfect. Various reliability indices are obtained using semi-Markov process and regenerative point technique. Graphs are drawn for a particular case to depict the behavior of MTSF, availability and profit function.

Keywords


Reliability modeling, Cloud system, Maximum operation and repair times, Semi-Markov process