1Reliability Indices of a Computer System with Priority and Server Failure

S.C. Malik*, R.K. Yadav and N. Nandal

Department of Statistics, M.D. University, Rohtak, India

Abstract

A stochastic model for a computer system has been described by considering theconcepts of failure of service facility, priority, and redundancy. The computer system comprises hardware and software components, which work together to perform the desired goals. The failure of the components is assumed as independent, which follow some probability distributions. There is a single server that has the responsibility to rectify the snags that occur during the operation of the components. The server is subjected to failure while performing jobs related to software upgradation but can resume the same after getting treatment. The server repairs the hardware components at failure while the software components are upgraded from time to time on a need basis. The preference to the software upgradation is given over the hardware repair. The computer system is considered as a single unit and an additional identical unit (redundant) is provided in order to meet out the emergency requirements. The distributions for repair time, treatment time and upgradation time are considered as negative exponential. The system model is analyzed by using semi-Markov process and regenerative point technique. The reliability indices, such as MTCSF, availability, busy period of the server due to hardware repair and software upgradation, ...

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