Multiple availability on stochastic demand

Author

Finkelstein, M.S.

Author_Institution

Univ. of the Orange Free State, Bloemfontein, South Africa

Volume

48

Issue

1

fYear

1999

fDate

3/1/1999 12:00:00 AM

Firstpage

19

Lastpage

24

Abstract

Stochastic models for multiple availability are analyzed for a system with periods of operation and repair that form an alternating process. The system is defined as available in time interval (0, T] if it is available at each moment of demand. System unavailability at the moment of demand is called a breakdown. The approximate probability of functioning without breakdowns is derived and analyzed for the nonhomogeneous Poisson point process of demand. Specific cases, which can be of interest in practical applications, are investigated. The integral equation for the multiple availability for arbitrary Cdf´s of periods of operation and repair is developed

Keywords

Poisson distribution; exponential distribution; failure analysis; maintenance engineering; reliability theory; Cdf; alternating process; approximate probability; moment of demand; multiple availability; nonhomogeneous Poisson process; operation periods; repair periods; stochastic demand; stochastic models; time interval; Availability; Density functional theory; Electric breakdown; Exponential distribution; Hazards; Integral equations; Stochastic processes; Stochastic systems;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.765923

Filename

765923