Application and analysis for a consecutive-k-out-of-n:G structure

✍ Scribed by Weixing Zhang; Chris Miller; Way Kuo

• Book ID: 103971094
• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 377 KB
• Volume: 33
• Category: Article
• ISSN: 0951-8320
• DOI: 10.1016/0951-8320(91)90058-f

✦ Synopsis

A consecutive-k.out.of-n:G system consists of an ordered sequence of n components such that the system works whenever at least k consecutive components in the system function. This study elaborates on the concept of consecutive-k-out-of-n:G systems and demonstrates an application of the basic theory of consecutive-k-out-of-n:G systems reliability to a railroad operation. The results can help in scheduling the incoming trains to utili-e the station resources better.

NOTATION I i B importance of component i k

Minimum number of consecutive components required for system to work or to fail n Number of components in a system p Working probability of components in the i.i.d, case Pi Working probability of component i in a system, i= 1, 2,...,n q Failure probability of components in the i.i.d.

case