Reliability and Some Characteristics of Circular Consecutive-k-Within-m-Out-of-n:F System

References

• Boland , P. J. 2001 . Signatures of indirect majority systems . Journal of Applied Probability , 38 : 597 – 603 .
   Web of Science ®Google Scholar
• Chang , G. J. , Cui , L. and Hwang , F. K. 2000 . Reliabilities of Consecutive-k Systems , Dordrecht : Kluwer Academic .
   Google Scholar
• David , H. A. and Nagaraja , H. N. 2003 . Order Statistics , Hoboken , NJ : Wiley .
   Google Scholar
• Dugas , M. R. and Samaniego , F. J. 2007 . On optimal system designs in reliability-economics frameworks . Naval Research Logistics , 54 : 568 – 582 .
   Web of Science ®Google Scholar
• Eryilmaz , S. 2010a . Review of recent advances in reliability of consecutive k-out-of-n and related systems . Proceedings of the ImechE, Part O: Journal of Risk and Reliability , 224 : 225 – 237 .
   PubMed Web of Science ®Google Scholar
• Eryilmaz , S. 2010b . Mixture representations for the reliability of consecutive-k systems . Mathematical and Computer Modelling , 51 : 405 – 412 .
   Web of Science ®Google Scholar
• Eryilmaz , S. 2010c . Number of working components in consecutive k-out-of-n system while it is working . Communications in Statistics – Simulation and Computation , 39 : 683 – 692 .
   Web of Science ®Google Scholar
• Eryilmaz , S. and Kan , C. 2011 . Dynamic reliability evaluation of consecutive-k-within-m-out-of-n:F system . Communications in Statistics – Simulation and Computation , 40 : 1 – 14 .
   Google Scholar
• Eryilmaz , S. , Kan , C. and Akici , F. 2009 . Consecutive k-within-m-out-of-n:F system with exchangeable components . Naval Research Logistics , 56 : 503 – 510 .
   Web of Science ®Google Scholar
• Iyer , S. 1992 . Distribution of the lifetime of consecutive k-within-m-out-of-n:F systems . IEEE Transactions Reliability , 41 : 448 – 450 .
   Web of Science ®Google Scholar
• Khaledi , B.-E. and Shaked , M. 2007 . Ordering conditional lifetimes of coherent systems . Journal of Statistical Planning and Inference , 137 : 1173 – 1184 .
   Web of Science ®Google Scholar
• Kochar , S. , Mukerjee , H. and Samaniego , F. 1999 . The “signature”of a coherent system and its application to comparison among systems . Naval Research Logistics , 46 : 507 – 523 .
   Web of Science ®Google Scholar
• Kuo , W. and Zuo , M. J. 2003 . Optimal Reliability Modeling: Principles and Applications , New York : Wiley .
   Google Scholar
• Navarro , J. and Rubio , R. 2010 . Computations of signatures of coherent systems with five components . Communications in Statistics – Simulation and Computation , 39 : 68 – 84 .
   Web of Science ®Google Scholar
• Navarro , J. , Ruiz , J. M. and Sandoval , C. J. 2005 . A note on comparisons among coherent systems with dependent components using signatures . Statistics & Probability Letters , 72 : 179 – 185 .
   Web of Science ®Google Scholar
• Navarro , J. , Ruiz , J. M. and Sandoval , C. J. 2007 . Properties of coherent systems with dependent components . Communications in Statistics – Theory and Methods , 36 : 175 – 191 .
   Web of Science ®Google Scholar
• Navarro , J. and Rychlik , T. 2007 . Reliability and expectation bounds for coherent systems with exchangeable components . Journal of Multivariate Analysis , 98 : 102 – 113 .
   Web of Science ®Google Scholar
• Navarro , J. and Rychlik , T. 2010 . Comparisons and bounds for expected lifetimes of reliability systems . European Journal of Operational Research , 207 : 309 – 317 .
   Web of Science ®Google Scholar
• Navarro , J. , Samaniego , F. J. , Balakrishnan , N. and Bhattacharya , D. 2008 . On the application and extension of system signatures in engineering reliability . Naval Research Logistics , 55 : 313 – 327 .
   Web of Science ®Google Scholar
• Papastavridis , S. G. 1988 . A Weibull limit law for the reliability of a consecutive k-within-m-out-of-n system . Advances in Applied Probability , 20 : 690 – 692 .
   Web of Science ®Google Scholar
• Samaniego , F. J. 1985 . On closure of the IFR class under formation of coherent systems . IEEE Transactions on Reliability , R-34 : 69 – 72 .
   Web of Science ®Google Scholar
• Samaniego , F. J. 2007 . System Signatures and Their Applications in Engineering Reliability , New York : Springer .
   Google Scholar
• Triantafyllou , I. S. and Koutras , M. V. 2008 . On the signature of coherent systems and applications . Probability in the Engineering and Informational Sciences , 22 : 19 – 35 .
   Web of Science ®Google Scholar
• Triantafyllou , I. S. and Koutras , M. V. 2011 . Signature and IFR preservation of 2-within-consecutive-k-out-of-n:F systems and applications . IEEE Transactions on Reliability , 60 : 315 – 322 .
   Web of Science ®Google Scholar
• Zhang , Z. 2010 . Ordering conditional general coherent systems with exchangeable components . Journal of Statistical Planning and Inference , 140 : 454 – 460 .
   Web of Science ®Google Scholar