Linear Multistate Consecutively-Connected Systems With Gap Constraints

Author

Xiang, Yanping ; Levitin, Gregory ; Dai, Yuanshun

Author_Institution

Collaborative Autonomic Comput. Lab., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

61

Issue

1

fYear

2012

fDate

3/1/2012 12:00:00 AM

Firstpage

208

Lastpage

214

Abstract

This paper generalizes the linear multistate consecutively-connected system model by introducing allowable gaps. The new model consists of N +1 linearly ordered nodes. Some of these nodes contain statistically independent multistate elements with different characteristics. Each element j can provide a connection between the node to which it belongs and X_j next nodes, where X_j is a discrete random variable with known probability mass function. The system fails if it contains at least m consecutive nodes not connected with any previous node (m consecutive gaps). An algorithm based on the universal generating function method is suggested for the system reliability evaluation. Illustrative examples are presented.

Keywords

probability; random processes; reliability theory; statistical analysis; discrete random variable; gap constraints; linear multistate consecutively-connected system model; linearly ordered nodes; probability mass function; statistically independent multistate elements; system reliability evaluation; universal generating function method; Radiation detectors; Random variables; Reliability; Sensor systems; Vectors; Gap constraints; System reliability; linear consecutively-connected system; multistate elements; universal generating function;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2011.2182393

Filename

6155070