{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T20:21:53Z","timestamp":1777666913741,"version":"3.51.4"},"reference-count":37,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2002,6,1]],"date-time":"2002-06-01T00:00:00Z","timestamp":1022889600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Reliability Engineering &amp; System Safety"],"published-print":{"date-parts":[[2002,6]]},"DOI":"10.1016\/s0951-8320(02)00014-5","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T20:58:14Z","timestamp":1034283494000},"page":"245-254","source":"Crossref","is-referenced-by-count":47,"title":["Optimal allocation of elements in a linear multi-state sliding window system"],"prefix":"10.1016","volume":"76","author":[{"given":"Gregory","family":"Levitin","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0951-8320(02)00014-5_BIB1","series-title":"Reliability and quality control","first-page":"157","article-title":"On consecutive k-out-of-n failure systems and their generalizations","author":"Griffith","year":"1986"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB2","doi-asserted-by":"crossref","first-page":"386","DOI":"10.2307\/3213781","article-title":"A rearrangement inequality for the longest run with an application in network reliability","volume":"22","author":"Tong","year":"1985","journal-title":"J Appl Probab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB3","doi-asserted-by":"crossref","first-page":"425","DOI":"10.2307\/2284398","article-title":"The generalized birthday problem","volume":"67","author":"Saperstain","year":"1972","journal-title":"J Am Statist Assoc"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB4","doi-asserted-by":"crossref","first-page":"809","DOI":"10.2307\/1267391","article-title":"On the occurrence of n successes within N Bernoulli trails","volume":"15","author":"Saperstain","year":"1973","journal-title":"Technometrics"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB5","doi-asserted-by":"crossref","first-page":"810","DOI":"10.2307\/2286023","article-title":"Probabilities for a generalized birthday problem","volume":"69","author":"Naus","year":"1974","journal-title":"J Am Statist Assoc"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB6","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1109\/TAES.1978.308658","article-title":"Minimal-order models for false-alarm calculations on sliding windows","volume":"AES-14","author":"Nelson","year":"1978","journal-title":"IEEE Trans Aerospace Electr Syst"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB7","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1109\/24.85439","article-title":"Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system","volume":"40","author":"Papastavridis","year":"1991","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB8","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1109\/24.159817","article-title":"Reliability of consecutive-k-out-of-r-from-n:F systems","volume":"41","author":"Sfakianakis","year":"1992","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB9","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1109\/24.285122","article-title":"Reliability of a large consecutive-k-out-of-r-from-n:F system with unequal component-reliability","volume":"43","author":"Cai","year":"1994","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB10","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1109\/24.406596","article-title":"A simulation algorithm for computing failure probability of a consecutive-k-out-of-r-from-n:F system","volume":"44","author":"Psillakis","year":"1995","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB11","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1109\/TR.1981.5220981","article-title":"Reliability of consecutive-k-out-of-n:F systems","volume":"R-30","author":"Chiang","year":"1981","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB12","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1109\/TR.1982.5221424","article-title":"Direct computations for consecutive-k-out-of-n:F systems","volume":"R-31","author":"Bollinger","year":"1982","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB13","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1109\/TR.1982.5221227","article-title":"Consecutive-k-out-of-n:F networks","volume":"R-31","author":"Bollinger","year":"1987","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB14","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1109\/24.295016","article-title":"An algorithm for computing the reliability of weighted-k-out-of-n systems","volume":"43","author":"Wu","year":"1994","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB15","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1002\/qre.388","article-title":"A new approach to solving problems of multi-state system reliability optimization","volume":"47","author":"Levitin","year":"2001","journal-title":"Quality Reliab Engng Int"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB16","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1109\/24.46467","article-title":"Multistate consecutively-connected systems","volume":"38","author":"Hwang","year":"1989","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB17","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1109\/TR.1982.5221423","article-title":"A recursive algorithm to evaluate the reliability of a consecutive-k-out-of-n:F system","volume":"R-31","author":"Shanthikumar","year":"1982","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB18","doi-asserted-by":"crossref","first-page":"546","DOI":"10.1109\/TR.1987.5222467","article-title":"Reliability of systems with consecutive minimal cutsets","volume":"R-36","author":"Shanthikumar","year":"1987","journal-title":"IEEE Trans Reliab"},{"issue":"5","key":"10.1016\/S0951-8320(02)00014-5_BIB19","first-page":"118","article-title":"Universal generating function","volume":"24","author":"Ushakov","year":"1986","journal-title":"Sov J Comput Syst Sci"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB20","unstructured":"Levitin G. Evaluating correct classification probability for weighted voting classifiers with plurality voting, to appear in Eur J Operat Res."},{"key":"10.1016\/S0951-8320(02)00014-5_BIB21","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/S0951-8320(01)00040-0","article-title":"Reliability evaluation for acyclic consecutively-connected networks with multistate elements","volume":"73","author":"Levitin","year":"2001","journal-title":"Reliab Engng Syst Safety"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB22","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/S0951-8320(01)00027-8","article-title":"Optimal separation of elements in vulnerable multi-state systems","volume":"73","author":"Levitin","year":"2001","journal-title":"Reliab Engng Syst Safety"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB23","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1109\/24.935018","article-title":"Redundancy optimization for multi-state system with fixed resource requirements and unreliable sources","volume":"50","author":"Levitin","year":"2000","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB24","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1109\/24.387368","article-title":"Genetic algorithm in optimization of system reliability","volume":"44","author":"Painton","year":"1995","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB25","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1109\/24.510811","article-title":"Reliability optimization of series\u2013parallel systems using genetic algorithm","volume":"45","author":"Coit","year":"1996","journal-title":"IEEE Trans Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB26","doi-asserted-by":"crossref","first-page":"1599","DOI":"10.1016\/S0026-2714(98)00028-6","article-title":"Genetic algorithms for reliability design problems","volume":"38","author":"Hsieh","year":"1998","journal-title":"Microelectr Reliab"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB27","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/S0951-8320(98)00103-3","article-title":"Application of genetic algorithm for reliability allocation in nuclear power plant","volume":"65","author":"Yang","year":"1999","journal-title":"Reliab Engng Syst Safety"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB28","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/S0360-8352(99)00043-1","article-title":"GA-based reliability design: state-of-the-art survey","volume":"37","author":"Gen","year":"1999","journal-title":"Comput Ind Engng"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB29","series-title":"Genetic algorithms and engineering design","author":"Gen","year":"1997"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB30","series-title":"Evolutionary algorithms in theory and practice","author":"B\u00e4ck","year":"1996"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB31","first-page":"49","article-title":"An introduction to genetic algorithms","volume":"5","author":"Austin","year":"1990","journal-title":"AI Expert"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB32","series-title":"Genetic algorithms in search, optimization and machine learning","author":"Goldberg","year":"1989"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB33","unstructured":"Whitley D. The GENITOR algorithm and selective pressure: why rank-based allocation of reproductive trials is best. In: Schaffer D., editor. Proceedings of the Third International Conference on Genetic Algorithms. Morgan Kaufmann, 1989. p. 116\u201321."},{"key":"10.1016\/S0951-8320(02)00014-5_BIB34","series-title":"Foundations of genetic algorithms","doi-asserted-by":"crossref","DOI":"10.1016\/B978-0-08-050684-5.50009-4","article-title":"A study of reproduction in generational and steady-state genetic algorithms","author":"Syswerda","year":"1991"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB35","unstructured":"Powell D, Skolnik M. Using genetic algorithms in engineering design optimization with non-linear constraints. Proceedings of the Fifth International Conference on Genetic Algorithms. Morgan Kaufmann, 1993. p. 424\u201331."},{"key":"10.1016\/S0951-8320(02)00014-5_BIB36","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0925-5273(95)00059-3","article-title":"Genetic algorithm for assembly line balancing","volume":"42","author":"Rubinovitz","year":"1995","journal-title":"Int J Product Econ"},{"key":"10.1016\/S0951-8320(02)00014-5_BIB37","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/0378-7796(94)00909-N","article-title":"Genetic algorithm for open loop distribution system design","volume":"32","author":"Levitin","year":"1995","journal-title":"Electr Power Syst Res"}],"container-title":["Reliability Engineering &amp; System Safety"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832002000145?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0951832002000145?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T01:23:21Z","timestamp":1556760201000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0951832002000145"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6]]},"references-count":37,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2002,6]]}},"alternative-id":["S0951832002000145"],"URL":"https:\/\/doi.org\/10.1016\/s0951-8320(02)00014-5","relation":{},"ISSN":["0951-8320"],"issn-type":[{"value":"0951-8320","type":"print"}],"subject":[],"published":{"date-parts":[[2002,6]]}}}