158
Views
3
CrossRef citations to date
0
Altmetric
ORIGINAL ARTICLES

Design of optimum component test plans in the demonstration of diverse system performance measures

, , , &
Pages 535-546 | Received 01 Sep 2009, Accepted 01 Jul 2010, Published online: 31 Mar 2011

References

  • Altınel , I. 1990 . System based component test problem: the design of optimum system based component test plans , Ph.D. thesis, Department of Industrial Engineering, University of Pittsburgh .
  • Altınel , I. 1992 . The design of optimum component test plans in demonstration of a series system reliability. . Computational Statistics & Data Analysis , 14 : 281 – 292 .
  • Altınel , I. 1994 . The design of optimum component test plans in demonstration of system reliability. . European Journal of Operational Research , 78 : 318 – 333 .
  • Altınel , I. and Özekici , S. 1997 . A dynamic model for component testing. . Naval Research Logistics , 44 : 187 – 197 .
  • Altınel , I. and Özekici , S. 1998 . Optimum component test plans for systems with dependent components. . European Journal of Operational Research , 111 : 175 – 186 .
  • Altınel , I. , Özekici , S. and Feyzio[gtilde]lu , O. 2001 . Component testing of repairable systems in multistage missions. . Journal of Operations Research Society , 52 : 937 – 944 .
  • Altınel , I. , Özekici , S. and Feyzio[gtilde]lu , O. 2002 . Component testing of a series system in a random mission. . Reliability Engineering and System Safety , 78 ( 1 ) : 33 – 43 .
  • Angus , J. 1988 . On computing MTBF for a k-out-of-n: G repairable system. . IEEE Transactions on Reliability , 37 ( 3 ) : 312 – 313 .
  • Azaiez , M. N. and Bier , V. M. 1995 . Perfect aggregation for a class of general reliability models with Bayesian updating. . Applied Mathematics and Computation , 73 : 281 – 302 .
  • Azaiez , M. N. and Bier , V. M. 1996 . Aggregation error in Bayesian analysis of reliability systems. . Management Science , 42 ( 2 ) : 516 – 528 .
  • Barlow , R. and Proschan , F. 1976 . Theory of maintained systems: distribution of time to first system failure. . Mathematics of Operations Research , 1 : 32 – 42 .
  • Baxter , L. 1983 . Availability measures for coherent systems of separately maintained components. . Journal of Applied Probability , 20 ( 3 ) : 627 – 636 .
  • Bier , V. M. 1994 . On the concept of perfect aggregation in Bayesian estimation. . Reliability Engineering and System Safety , 46 : 271 – 281 .
  • Boyd , S. , Kim , S.-J. , Vandenberghe , L. and Hassibi , A. 2007 . A tutorial on geometric programming. . Optimization Engineering , 8 : 67 – 127 .
  • Brown , M. 1984 . On the reliability of repairable systems. . Operations Research , 32 ( 3 ) : 607 – 615 .
  • Çekyay , B. and Özekici , S. 2008 . Reliability, MTTF and availability analysis of systems with exponential lifetimes , Istanbul, , Turkey : Technical report, Dept. of Industrial Engineering, Koc University .
  • Chapman , J. S. 1975 . Optimal aggregation in large scale econometric models. . Sankhya: The Indian Journal of Statistics , 37 : 121 – 159 .
  • Çınlar , E. and Özekici , S. 1987 . Reliability of a complex device in random environment. . Probability in the Engineering and Informational Sciences , 1 : 97 – 115 .
  • De Smidt-Destombes , K. , Van der Heijden , M. and Van Harten , A. 2004 . On the availability of a k-out-of-n system given limited spares and repair capacity under a condition based maintenance strategy. . Reliability Engineering and System Safety , 83 ( 3 ) : 287 – 300 .
  • Easterling , R. G. , Mazumdar , M. , Spencer , F. W. and Diegert , K. V. 1991 . System based component test plans for operating characteristics: binomial data. . Technometrics , 33 ( 3 ) : 287 – 299 .
  • Fernandez , A. J. 2010 . Tolerance limits for k-out-of-n systems with exponentially distributed component lifetimes. . IEEE Transactions on Reliability , 59 ( 2 ) : 331 – 337 .
  • Feyzio[gtilde]lu , O. , Altınel , I. and Özekici , S. 2006 . The design of optimum component test plans for system reliability. . Computational Statistics and Data Analysis , 50 : 3099 – 3112 .
  • Feyzio[gtilde]lu , O. , Altınel , I. and Özekici , S. 2008 . Optimum component test plans for phased-mission systems. . European Journal of Operational Research , 185 : 255 – 265 .
  • Frostig , E. and Levikson , B. 2002 . On the availability of r out of n repairable systems. . Naval Research Logistics , 49 ( 5 ) : 483 – 498 .
  • Gal , S. 1974 . Optimal test design for reliability demonstration. . Operations Research , 22 : 1236 – 1242 .
  • Goberna , M. and López , M. 1998 . Linear Semi-infinite Optimization , Chichester : Wiley .
  • Ijiri , Y. 1971 . Fundamental queries in aggregation theory. . Journal of the American Statistical Association , 66 ( 336 ) : 766 – 782 .
  • Iyer , S. 1989 . Mean first-passage times for a k-out-of-n system with repair. . The Journal of the Operational Research Society , 40 ( 10 ) : 889 – 894 .
  • Johnson , V. , Graves , T. , Hamada , M. and Reese , C. S. 2003 . “ A hierarchical model for estimating the reliability of complex systems ” . In Bayesian Statistics , Edited by: Bernardo , J.M. , Bayarri , M.J. , Berger , J.O. , David , A.P. , Heckerman , D. , Smith , A.F.M. and West , M. 199 – 213 . New York, NY : Oxford University Press .
  • Kotz , S. , Lai , C. D. and Xie , M. 2003 . On the effect of redundancy for systems with dependent components. . IIE Transactions , 35 ( 12 ) : 1103 – 1110 .
  • Koucký , M. 2003 . Exact reliability formula and bounds for general k-out-of-n systems. . Reliability Engineering and System Safety , 82 ( 2 ) : 229 – 231 .
  • Levitin , G. 2003 . Element availability importance in generalized k-out-of-r-from-n systems. . IIE Transactions , 35 ( 12 ) : 1125 – 1131 .
  • Li , X. , Zuo , M. and Yam , R. 2006 . Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down. . Reliability Engineering and System Safety , 91 ( 3 ) : 305 – 310 .
  • Mazumdar , M. 1977 . An optimum procedure for component testing in the demonstration of series system reliability. . IEEE Transactions on Reliability , R-26 : 342 – 345 .
  • Mazumdar , M. 1980 . An optimum component testing procedure for a series system with redundant subsystems. . Technometrics , 22 ( 1 ) : 23 – 27 .
  • Natarajan , R. 1968 . A reliability problem with spares and multiple repair facilities. . Operations Research , 16 ( 5 ) : 1041 – 1057 .
  • Papageorgiou , E. and Kokolakis , G. 2004 . A two-unit parallel system supported by (n−2) standbys with general and non-identical lifetimes. . International Journal of Systems Science , 35 : 1 – 12 .
  • Prasad , V. , Kuo , W. and Kim , K. 1999 . Optimal allocation of s-identical, multi-functional spares in a series system. . IEEE Transactions on Reliability , 48 ( 2 ) : 118 – 126 .
  • Rajgopal , J. and Mazumdar , M. 1988 . A type-II censored, log test-time based, component-testing procedure for a parallel system. . IEEE Transactions on Reliability , 37 ( 4 ) : 406 – 412 .
  • Rajgopal , J. and Mazumdar , M. 1996 . A system-based component test plan for a series system, with type-II censoring. . IEEE Transactions on Reliability , 45 ( 3 ) : 375 – 378 .
  • Robinson , D. and Neuts , M. 1989 . An algorithmic approach to increased reliability through standby redundancy. . IEEE Transactions on Reliability , 38 ( 4 ) : 430 – 435 .
  • Sarkar , J. and Li , F. 2006 . Limiting average availability of a system supported by several spares and several repair facilities. . Statistics and Probability Letters , 76 ( 18 ) : 1965 – 1974 .
  • Seo , J. H. , Jung , M. and Kim , C. M. 2009 . Design of accelerated life test sampling plans with a nonconstant shape parameter. . European Journal of Operational Research , 197 ( 2 ) : 659 – 666 .
  • Shen , P. , Li , X. and Jiao , H. 2008 . Accelerating method of global optimization for signomial geometric programming. . Journal of Computational and Applied Mathematics , 214 : 66 – 77 .
  • Simon , H. A. and Ando , A. 1961 . Aggregation of variables in dynamic systems. . Econometrica , 29 : 111 – 138 .
  • Sridharan , V. and Mohanavadivu , P. 1998 . Stochastic behaviour of a two-unit standby system with two types of repairmen and patience time. . Mathematical and Computer Modelling , 28 ( 9 ) : 63 – 71 .
  • Wang , K. , Dong , W. and Ke , J. 2006 . Comparison of reliability and the availability between four systems with warm standby components and standby switching failures. . Applied Mathematics and Computation , 183 : 1310 – 1322 .
  • Wang , K. , Liu , Y. and Pearn , W. 2005 . Cost benefit analysis of series systems with warm standby components and general repair time. . Mathematical Methods of Operations Research , 61 ( 2 ) : 329 – 343 .
  • Wang , W. and Loman , J. 2002 . Reliability/availability of k-out-of-n aystem with m cold standby units , 450 – 455 . Seattle, WA : Proceedings of the Annual Reliability and Maintainability Symposium .
  • Yan , J. and Mazumdar , M. 1986 . A comparison of several component testing plans for series system. . IEEE Transactions on Reliability , R-35 ( 4 ) : 437 – 443 .
  • Yang , G. 2009 . Reliability demonstration through degradation bogey testing. . IEEE Transactions on Reliability , 58 ( 4 ) : 604 – 610 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.