On a generalized k-out-of-n system and its reliability

References

• Antonopoulou , I and Papastavridas , SG . 1987 . “Fast recursive algorithm to evaluate the reliability of a circular consecutive-k-out-of-n:F system” . IEEE Transactions on Reliability , 36 : 83 – 84 .
   Web of Science ®Google Scholar
• Chadjiconstantinidis , S and Koutras , MV . 1999 . “Measures of component importance for Markov chain imbeddable reliability structures” . Naval Research Logistics , 46 : 613 – 639 .
   Web of Science ®Google Scholar
• Chan , FY , Chan , LK and Lin , GD . 1988 . “On consecutive-k-out-of-n: F systems” . European Journal of Operational Research , 36 : 207 – 216 .
   Web of Science ®Google Scholar
• Chang , GJ , Cui , LR and Hwang , FK . 1999a . “Reliabilities for (n, f, k) systems” . Statistics and Probability Letters , 43 : 237 – 242 .
   Web of Science ®Google Scholar
• Chang , GJ , Cui , LR and Hwang , FK . 1999b . “New comparison in Birnbaum importance for the consecutive-k-out-of-n system” . Probability in the Engineering and Informational Sciences , 13 : 187 – 192 .
   Web of Science ®Google Scholar
• Chang GJ Cui LR Hwang FK Reliabilities of Consecutive-k Systems Dordrecht Kluwer 2000
   Google Scholar
• Cheng , K and Zhang , YL . 2001 . “Analysis for a consecutive-k-out-of-n: F repairable system with priority in repair”. . International Journal of Systems Science , 32 : 591 – 598 .
   Web of Science ®Google Scholar
• Derman , C , Lieberman , GJ and Ross , SM . 1982 . “On the consecutive k-out-of-n:F-system” . IEEE Transactions on Reliability , 31 : 57 – 63 .
   Web of Science ®Google Scholar
• Hwang , FK . 1982 . “Fast solutions for consecutive-k-out-of-n:F systems” . IEEE Transactions on Reliability , 31 : 447 – 448 .
   Web of Science ®Google Scholar
• Hwang FK “Simplified reliabilities for consecutive-k-out-of-n:F systems” SIAM Journal on Algebraic Methods 1986 258 264
   Google Scholar
• Kuo , W , Zhang , W and Zuo , M . 1990 . “A consecutive-k-out-of-n:G system, the mirror image of a consecutive-k-out-of-n:F system” . IEEE Transactions on Reliability , 39 : 244 – 253 .
   Web of Science ®Google Scholar
• Koutras , MV . 1996 . “On a Markov chain approach for the study of reliability structures” . Journal of Applied Probability , 33 : 357 – 367 .
   Web of Science ®Google Scholar
• Pekoz , E and Ross , SM . 1995 . “A simple derivation of exact reliability formulas for linear and circular consecutive-k-out-of-n:F systems” . Journal of Applied Probability , 32 : 554 – 557 .
   Web of Science ®Google Scholar
• Shanthikumar , JG . 1982 . “Recursive algorithm to evaluate the reliability of a consecutive-k-out-of-n:F systems” . IEEE Transactions on Reliability , 31 : 442 – 443 .
   Web of Science ®Google Scholar
• Sheu , SH and Chang , TH . 2001 . “An optimal replacement period for a k-out-of-n:F system subject to shocks” . International Journal of Systems Science , 32 : 565 – 573 .
   Web of Science ®Google Scholar
• Sun , H and Liao , J . 1990 . “The reliability of (n, f, k) system” . Acta Electronìca Sinica , 12 : 436 – 439 .
   Google Scholar
• Tung SS “Combinatorial analysis in determining reliability” Proceedings of the Annual Reliability and Maintainability Symposium 1982 pp. 262–266
   Google Scholar
• Tong , YL . 1985 . “A rearrangement inequality for the longest run with an application to network reliability” . Journal of Applied Probability , 22 : 386 – 393 .
   Web of Science ®Google Scholar
• Zhang , YL and Lam , Y . 1998 . “Rehability of consecutive-k-out-of-n:G repairable system” . International Journal of Systems Science , 29 : 1375 – 1379 .
   Web of Science ®Google Scholar
• Zuo , MJ , Lm , D and Wu , Y . 2000 . “Reliability evaluation of combined k-out-of-n:F, consecutive-k-out-of-n:F, and linear connected-(r,s)-out-of-(m,n):F system structures” . IEEE Transactions on Reliability , 49 : 99 – 104 .
   Web of Science ®Google Scholar