Reliability Properties of Series and Parallel Systems under Equilibrium Distribution

Author

Gupta, Nitin ; Gandotra, Neeraj ; Bajaj, R.K.

Author_Institution

Jaypee Univ. of Inf. Technol., Waknaghat, India

fYear

2012

fDate

9-11 Aug. 2012

Firstpage

203

Lastpage

206

Abstract

Equilibrium distribution finds various applications in reliability, stochastic processes, repairable systems and many areas of applied probability such as renewal risk model etc. This paper deals with some of the reliability properties of reliability structures under equilibrium random variable(s). The likelihood ratio ordering for the series and parallel systems has been established under equilibrium. Further, the log-concavity properties of series and parallel systems having independently and identically distributed (i.i.d.) components under the condition of equilibrium have been studied.

Keywords

probability; reliability theory; stochastic processes; equilibrium distribution; equilibrium random variable; likelihood ratio ordering; log-concavity properties; parallel systems; reliability properties; renewal risk model; repairable systems; series systems; stochastic processes; Aging; Hazards; Probability density function; Random variables; Reliability; Stochastic processes; Equilibrium distribution; Hazard rate; Likelihood ratio order; Log-concave; Series and Parallel system;

fLanguage

English

Publisher

ieee

Conference_Titel

Advances in Computing and Communications (ICACC), 2012 International Conference on

Conference_Location

Cochin, Kerala

Print_ISBN

978-1-4673-1911-9

Type

conf

DOI

10.1109/ICACC.2012.47

Filename

6305589