On reliability analysis of a two-dependent-unit series system with a standby unit

Eryilmaz S., TANK F.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.15, ss.7792-7797, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 15
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2012.01.046
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7792-7797
  • Anahtar Kelimeler: Copula, Exchangeability, Mean time to failure, Positive dependence, Reliability, DEPENDENT COMPONENTS, COHERENT SYSTEMS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we study a series system with two active components and a single cold standby unit. The two simultaneously working components are assumed to be dependent and this dependence is modeled by a copula function. In particular, we obtain an explicit expression for the mean time to failure of the system in terms of the copula function and marginal lifetime distributions. We also provide illustrative numerical results for different copula functions and marginal lifetime distributions. (c) 2012 Elsevier Inc. All rights reserved.