메뉴 건너뛰기




Volumn 68, Issue 2, 2000, Pages 97-104

New bounds on the reliability of the consecutive k-out-of-r-from-n:F system

Author keywords

[No Author keywords available]

Indexed keywords

FORTRAN (PROGRAMMING LANGUAGE); PROBABILITY DISTRIBUTIONS;

EID: 0342906643     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0951-8320(99)00021-6     Document Type: Article
Times cited : (36)

References (37)
  • 1
    • 0022080297 scopus 로고
    • Rearrangement inequality for the longest run, with an application to network reliability"
    • Tong Y.L. rearrangement inequality for the longest run, with an application to network reliability" J Appl Prob. 22:1985;286-393.
    • (1985) J Appl Prob , vol.22 , pp. 286-393
    • Tong, Y.L.1
  • 2
    • 0040867032 scopus 로고
    • The reliability of a linear system and its connection with the generalized birthday problem
    • Kounias S., Sfakianakis M. The reliability of a linear system and its connection with the generalized birthday problem. Statistica Appl. 3:1991;531-543.
    • (1991) Statistica Appl , vol.3 , pp. 531-543
    • Kounias, S.1    Sfakianakis, M.2
  • 3
    • 0342830119 scopus 로고
    • Combinatorial problem associated with the reliability of a circular system
    • Kounias S., Sfakianakis M. combinatorial problem associated with the reliability of a circular system. Proc HERMIS'. 92:1992;187-196.
    • (1992) Proc HERMIS , vol.92 , pp. 187-196
    • Kounias, S.1    Sfakianakis, M.2
  • 4
    • 0027646463 scopus 로고
    • Application of the Stein-Chen method for bounds and limit theorems in the reliability of coherent structures
    • Koutras M.V., Papastavridis S.G. Application of the Stein-Chen method for bounds and limit theorems in the reliability of coherent structures. Nav Res Logistics. 40:1993;617-631.
    • (1993) Nav Res Logistics , vol.40 , pp. 617-631
    • Koutras, M.V.1    Papastavridis, S.G.2
  • 5
    • 0027555825 scopus 로고
    • Bounds for reliability of consecutive-k-within-m-out-of-n systems
    • Papastavridis S., Koutras M.V. Bounds for reliability of consecutive-k-within-m-out-of-n systems. IEEE Trans Reliability. R-42:1993;156-160.
    • (1993) IEEE Trans Reliability , vol.42 , pp. 156-160
    • Papastavridis, S.1    Koutras, M.V.2
  • 6
    • 0000371978 scopus 로고
    • Optimal arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system
    • Papastavridis S., Sfakianakis M.E. Optimal arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system. IEEE Trans Reliability. R-40:1991;277-279.
    • (1991) IEEE Trans Reliability , vol.40 , pp. 277-279
    • Papastavridis, S.1    Sfakianakis, M.E.2
  • 7
    • 0012838119 scopus 로고
    • Weibull limit for the reliability of consecutive-k-within-m-out-of-n system
    • Papastavridis S. Weibull limit for the reliability of consecutive-k-within-m-out-of-n system. Adv Appl Prob. 20:1988;690-692.
    • (1988) Adv Appl Prob , vol.20 , pp. 690-692
    • Papastavridis, S.1
  • 8
    • 0027642777 scopus 로고
    • Optimal arrangement of components in a consecutive-k-out-of-r-from-n:F system
    • Sfakianakis M. Optimal arrangement of components in a consecutive-k-out-of-r-from-n:F system. Microelectronics and Reliability. 33:1993;1573-1578.
    • (1993) Microelectronics and Reliability , vol.33 , pp. 1573-1578
    • Sfakianakis, M.1
  • 9
    • 0342395320 scopus 로고
    • Birnbaum importance of components in a consecutive-k-out-of-r-from-n:F system
    • Sfakianakis M. Birnbaum importance of components in a consecutive-k-out-of-r-from-n:F system. Proc IASTED Conf. 1992;36-37.
    • (1992) Proc IASTED Conf , pp. 36-37
    • Sfakianakis, M.1
  • 11
    • 0001807732 scopus 로고
    • Reliability of a consecutive-k-out-of-n:F system in a random environment
    • Chrysaphinou O., Papastavridis S. Reliability of a consecutive-k-out-of-n:F system in a random environment. J Appl Prob. 27:1990;452-458.
    • (1990) J Appl Prob , vol.27 , pp. 452-458
    • Chrysaphinou, O.1    Papastavridis, S.2
  • 12
    • 0007206525 scopus 로고
    • Limit distribution for a consecutive- k-out-of-r-from-n:F system
    • Chrysaphinou O., Papastavridis S. Limit distribution for a consecutive- k-out-of-r-from-n:F system. Adv Appl Prob. 22:1990;491-493.
    • (1990) Adv Appl Prob , vol.22 , pp. 491-493
    • Chrysaphinou, O.1    Papastavridis, S.2
  • 14
    • 0022073993 scopus 로고
    • Reliability of a large consecutive-k-out-of-n:F system
    • Fu J.C. Reliability of a large consecutive-k-out-of-n:F system. IEEE Trans Reliability. R-34:1985;127-130.
    • (1985) IEEE Trans Reliability , vol.34 , pp. 127-130
    • Fu, J.C.1
  • 15
    • 0042099288 scopus 로고
    • Bounds for reliability of large consecutive-k-out-of-n:F systems with unequal component probabilities
    • Fu J.C. Bounds for reliability of large consecutive-k-out-of-n:F systems with unequal component probabilities. IEEE Trans Reliability. R-35:1986;316-319.
    • (1986) IEEE Trans Reliability , vol.35 , pp. 316-319
    • Fu, J.C.1
  • 16
    • 0022908689 scopus 로고
    • Reliability of consecutive-k-out-of-n:F systems with (k-1) step Markov dependence
    • Fu J.C. Reliability of consecutive-k-out-of-n:F systems with (k-1) step Markov dependence. IEEE Trans Reliability. R-35:1986;602-606.
    • (1986) IEEE Trans Reliability , vol.35 , pp. 602-606
    • Fu, J.C.1
  • 17
    • 0343311474 scopus 로고
    • Consecutive-k-out-of-n:F systems with maintenance
    • Papastavridis S., Koutras M.V. Consecutive-k-out-of-n:F systems with maintenance. Ann Inst Statist Math. 44:1992;605-612.
    • (1992) Ann Inst Statist Math , vol.44 , pp. 605-612
    • Papastavridis, S.1    Koutras, M.V.2
  • 18
    • 0029274603 scopus 로고
    • Survey of reliability studies of consecutive-k-out-of-n:F and related systems
    • Chao M.T., Fu J.C., Koutras M.V. Survey of reliability studies of consecutive-k-out-of-n:F and related systems. IEEE Trans Reliability. R-44:1995;120-127.
    • (1995) IEEE Trans Reliability , vol.44 , pp. 120-127
    • Chao, M.T.1    Fu, J.C.2    Koutras, M.V.3
  • 19
    • 0000850549 scopus 로고
    • An upper bound for the probability of a union
    • Hunter D. An upper bound for the probability of a union. J Appl Prob. 13:1976;597-603.
    • (1976) J Appl Prob , vol.13 , pp. 597-603
    • Hunter, D.1
  • 20
    • 0000368646 scopus 로고
    • An improved Bonferroni inequality and applications
    • Worsley K.J. An improved Bonferroni inequality and applications. Biometrika. 69:1982;297-302.
    • (1982) Biometrika , vol.69 , pp. 297-302
    • Worsley, K.J.1
  • 21
    • 0028386868 scopus 로고
    • Reliability of a large consecutive-k-out-of-r-from-n:F system with unequal component-reliability
    • Cai J. Reliability of a large consecutive-k-out-of-r-from-n:F system with unequal component-reliability. IEEE Trans Reliability. R-43:1994;107-111.
    • (1994) IEEE Trans Reliability , vol.43 , pp. 107-111
    • Cai, J.1
  • 22
    • 0023817936 scopus 로고    scopus 로고
    • Boole-Bonferroni inequalities and linear programming
    • Prékopa A. Boole-Bonferroni inequalities and linear programming. Operations Research. 36:1998;145-162.
    • (1998) Operations Research , vol.36 , pp. 145-162
    • Prékopa, A.1
  • 23
    • 0000679230 scopus 로고
    • Closed form two-sided bounds for probabilities that exactly r and at least r out of n events occur
    • Boros E., Prékopa A. Closed form two-sided bounds for probabilities that exactly r and at least r out of n events occur. Math Oper Res. 14:1989;317-342.
    • (1989) Math Oper Res , vol.14 , pp. 317-342
    • Boros, E.1    Prékopa, A.2
  • 26
    • 0025402711 scopus 로고
    • Sharp bounds on probabilities using linear programming
    • Prékopa A. Sharp bounds on probabilities using linear programming. Oper Res. 38:1990;227-239.
    • (1990) Oper Res , vol.38 , pp. 227-239
    • Prékopa, A.1
  • 27
    • 84966257250 scopus 로고
    • An inequality for probabilities
    • Dawson D., Sankoff A. An inequality for probabilities. Proc Am Math Soc. 18:1967;504-507.
    • (1967) Proc Am Math Soc , vol.18 , pp. 504-507
    • Dawson, D.1    Sankoff, A.2
  • 28
    • 0001304597 scopus 로고
    • Bonferroni inequalities
    • Galambos J. Bonferroni inequalities. Annals of Prob. 5:1977;577-581.
    • (1977) Annals of Prob , vol.5 , pp. 577-581
    • Galambos, J.1
  • 29
    • 84950653711 scopus 로고
    • Most stringent bounds on aggregated probabilities of partially specified dependent probability systems
    • Kwerel S.M. Most stringent bounds on aggregated probabilities of partially specified dependent probability systems. J Am Stat Assoc. 70:1975;472-479.
    • (1975) J Am Stat Assoc , vol.70 , pp. 472-479
    • Kwerel, S.M.1
  • 30
    • 0016520462 scopus 로고
    • Bounds on the probability of a union and intersection of m events
    • Kwerel S.M. Bounds on the probability of a union and intersection of m events. Adv Appl Prob. 7:1975;431-448.
    • (1975) Adv Appl Prob , vol.7 , pp. 431-448
    • Kwerel, S.M.1
  • 31
    • 84959757647 scopus 로고
    • Methods for proving Bonferroni types inequalities
    • Galambos J. Methods for proving Bonferroni types inequalities. J Lond Math Soc. 2:(9):1975;561-564.
    • (1975) J Lond Math Soc , vol.2 , Issue.9 , pp. 561-564
    • Galambos, J.1
  • 34
    • 0001139257 scopus 로고
    • Best possible inequalities for the probability of a logical function of events
    • Hailperin Th. Best possible inequalities for the probability of a logical function of events. Am Math Monthly. 72:1965;343-359.
    • (1965) Am Math Monthly , vol.72 , pp. 343-359
    • Hailperin, T.1
  • 35
    • 70350674995 scopus 로고
    • On the shortest spanning subtree of a graph and the travelling salesman problem
    • Kruskal J.B. On the shortest spanning subtree of a graph and the travelling salesman problem. Proc Am Math Soc. 7:1956;48-50.
    • (1956) Proc Am Math Soc , vol.7 , pp. 48-50
    • Kruskal, J.B.1
  • 36
    • 4244133651 scopus 로고    scopus 로고
    • Correction to: Reliability of a consecutive-k-out-of-r-from-n:F system
    • Szántai T., Aziz H. Correction to: Reliability of a consecutive-k-out-of-r-from-n:F system. IEEE Trans Reliability. R-46:1997;282.
    • (1997) IEEE Trans Reliability , vol.46 , pp. 282
    • Szántai, T.1    Aziz, H.2
  • 37
    • 0022694634 scopus 로고
    • Evaluation of a special multivariate gamma distribution
    • Szántai T. Evaluation of a special multivariate gamma distribution. Math Prog Study. 27:1986;1-16.
    • (1986) Math Prog Study , vol.27 , pp. 1-16
    • Szántai, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.