Mean time to finish a randomly disturbed 2-phase mission

Author

Schneeweiss, Winfrid G.

Author_Institution

Fern Univ., Hagen, Germany

Volume

44

Issue

2

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

310

Lastpage

314

Abstract

This paper shows the average time to finish a mission consisting of a sequence of two noninterruptible phases of deterministic, given lengths, when after a short disturbance the interrupted phase has to be restarted. Disturbances, e.g., intermittent faults, are modeled according to a renewal point-process. In order to overcome limitations of Markov modeling, this point process need not be Poisson. Fairly simple closed-form solutions are derived. The Poisson case treated, is a practical example. Upper bounds are derived for easy conservative approximations. The approach can be easily extended to cover the determination of probability distributions instead of only mean values

Keywords

Poisson distribution; approximation theory; failure analysis; reliability theory; stochastic processes; Poisson case; approximations; closed-form solutions; deterministic length; disturbance; intermittent faults; mean time to finish; modelling; noninterruptible phases; probability distributions; randomly disturbed two-phase mission; renewal point-process; upper bounds; Calendars; Computer aided software engineering; Fading; Probability distribution; Redundancy; Upper bound;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.387387

Filename

387387