Hostname: page-component-669899f699-2mbcq Total loading time: 0 Render date: 2025-04-26T21:02:40.487Z Has data issue: false hasContentIssue false
  • English
  • Français

Asymptotic performance of a multistate coherent system

Published online by Cambridge University Press:  01 July 2016

Srinivas Iyer
Srinivas Iyer*
Affiliation:
Indian Statistical Institute, New Delhi
*
∗Postal address: Indian Statistical Institute, Statistical Quality Control and Operations Research Unit, 7 S.J.S. Sansanwal Marg, New Delhi 110016, India.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

An expression for the asymptotic or steady-state performance function is derived for a multistate coherent system when each component changes states in time according to a semi-Markov process, the stochastic processes being mutually independent. This generalizes the expression for system availability of a binary coherent system when the components are governed by mutually independent alternating renewal processes.

Keywords

SEMI-MARKOV PROCESSASYMPTOTIC PERFORMANCE
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 20 , Issue 1 , March 1988 , pp. 241 - 243
Copyright
Copyright © Applied Probability Trust 1988 

References

[1] Barlow, R. E. and Proschan, F. (1981) Statistical Theory of Reliability and Life Testing. To Begin With, Silver Spring, Md.Google Scholar
[2] Barlow, R. E. and Wu, A. S. (1978) Coherent systems with multistate components. Math. Operat. Res. 3, 275–281.CrossRefGoogle Scholar
[3] El-Neweihi, E., Proschan, F. and Sethuraman, J. (1978) Multistate Coherent Systems. J. Appl. Prob. 15, 675–688.Google Scholar
[4] Griffith, W. S. (1980) Multistate reliability models. J. Appl. Prob. 17, 735–744.Google Scholar
[5] Natvig, B. (1982) Two suggestions of how to define a multistate coherent system. Adv. Appl. Prob. 14, 434–455.CrossRefGoogle Scholar
[6] Ross, S. M. (1982) Stochastic Processes. Wiley, New York.Google Scholar