COMPOUND POISSON APPROXIMATION IN SYSTEMS RELIABILITY

Authors
BARBOUR AD CHRYSSAPHINOU O ROOS M
Citation
Ad. Barbour et al., COMPOUND POISSON APPROXIMATION IN SYSTEMS RELIABILITY, Naval research logistics, 43(2), 1996, pp. 251-264
Citations number
18
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science","Engineering, Marine
Journal title
Naval research logistics → ACNP
ISSN journal
0894069X
Volume
43
Issue
2
Year of publication
1996
Pages
251 - 264
Database
ISI
SICI code
0894-069X(1996)43:2<251:CPAISR>2.0.ZU;2-B
Abstract
The compound Poisson ''local'' formulation of the Stein-Chen method is applied to problems in reliability theory. Bounds for the accuracy of the approximation of the reliability by an appropriate compound Poiss on distribution are derived under fairly general conditions, and are a pplied to consecutive-2 and connected-s systems, and the 2-dimensional consecutive-k-out-of-n system, together with a pipeline model. The ap proximations are usually better than the Poisson ''local'' approach wo uld give. (C) 1996 John Wiley & Sons, Inc.