A New Approach to Analysis of Interval Availability

Author

Kirmani, Ezzat ; Hood, Cynthia S.

Author_Institution

Dept. of Stat. & Comput. Networking, St. Cloud State Univ., St. Cloud, MN

fYear

2008

Firstpage

479

Lastpage

483

Abstract

This paper gives a novel and useful representation of interval availability over a time period [0, T] for a 2-state continuous time Markov chain (2-CTMC) model. The representation is in terms of an order statistic of a binomially distributed random rank in a random sample of Poisson size from a distribution uniform on the interval [0,1]. This representation is then used to obtain the variance of interval availability for the 2-CTMC model. It is proposed to judge the fluctuations in interval availability by considering the derived coefficient of variation. Both the order statistic representation and the variance of interval availability constitute new contributions to the availability literature.

Keywords

Markov processes; Poisson distribution; distributed processing; 2-state continuous time Markov chain model; Poisson size; binomially distributed random rank; interval availability; order statistic; random sample; uniform distribution; Availability; Security; Availability; coefficient of variation; continuous time Markov chain; cumulative operating time; order statistics; repairable computer systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Availability, Reliability and Security, 2008. ARES 08. Third International Conference on

Conference_Location

Barcelona

Print_ISBN

978-0-7695-3102-1

Type

conf

DOI

10.1109/ARES.2008.137

Filename

4529377