{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,29]],"date-time":"2024-06-29T00:03:34Z","timestamp":1719619414513},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,11,17]],"date-time":"2017-11-17T00:00:00Z","timestamp":1510876800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2018,6]]},"DOI":"10.1007\/s11424-017-6306-2","type":"journal-article","created":{"date-parts":[[2017,11,21]],"date-time":"2017-11-21T00:47:04Z","timestamp":1511225224000},"page":"804-819","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Stochastic Model on One-Unit Repairable Systems with Multiple Degenerative States"],"prefix":"10.1007","volume":"31","author":[{"given":"Xiaohu","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiyong","family":"Ding","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,11,17]]},"reference":[{"key":"6306_CR1","doi-asserted-by":"publisher","first-page":"479","DOI":"10.2307\/1427402","volume":"20","author":"Y Lam","year":"1988","unstructured":"Lam Y, A note on the optimal replacement problem, Advances in Applied Probability, 1988, 20: 479\u2013482.","journal-title":"Advances in Applied Probability"},{"key":"6306_CR2","doi-asserted-by":"publisher","first-page":"641","DOI":"10.2307\/1427462","volume":"22","author":"W Stadje","year":"1990","unstructured":"Stadje W and Zuckerman D, Optimal strategies for some repair replacement model, Advances in Applied Probability, 1990, 22: 641\u2013656.","journal-title":"Advances in Applied Probability"},{"key":"6306_CR3","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/0026-2714(93)90042-W","volume":"33","author":"M S Finkelstein","year":"1993","unstructured":"Finkelstein M S, A scale model of general repai, Microelectronics Reliability, 1993, 33: 41\u201344.","journal-title":"Microelectronics Reliability"},{"key":"6306_CR4","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/S0951-8320(98)00029-5","volume":"63","author":"Y L Zhang","year":"1999","unstructured":"Zhang Y L, An optimal geometric process model for a cold standby repairable system, Reliability Engineering and System Safety, 1999, 63: 107\u2013110.","journal-title":"Reliability Engineering and System Safety"},{"key":"6306_CR5","doi-asserted-by":"publisher","DOI":"10.1142\/5221","volume-title":"Multi-State System Reliability: Assessment, Optimization and Application","author":"A Lisnianski","year":"2003","unstructured":"Lisnianski A and Levitin G, Multi-State System Reliability: Assessment, Optimization and Application, World Scientific, Singapore, 2003."},{"key":"6306_CR6","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/S0377-2217(01)00164-3","volume":"142","author":"Y Lam","year":"2002","unstructured":"Lam Y, Zhang Y L, and Zheng Y H, A geometric process equivalent model for a multistate degenerative system, European Journal of Operational Research, 2002, 142: 21\u201329.","journal-title":"European Journal of Operational Research"},{"key":"6306_CR7","doi-asserted-by":"publisher","first-page":"4138","DOI":"10.1016\/j.apm.2010.04.011","volume":"34","author":"Y L Zhang","year":"2010","unstructured":"Zhang Y L and Wang G J, An optimal replacement policy for a multistate degenerative simple system, Applied Mathematical Modelling, 2010, 34: 4138\u20134150.","journal-title":"Applied Mathematical Modelling"},{"key":"6306_CR8","doi-asserted-by":"publisher","first-page":"336","DOI":"10.1057\/palgrave.jors.2601277","volume":"53","author":"Y L Zhang","year":"2002","unstructured":"Zhang Y L, Yam R C, and Zuo M J, Optimal replacement policy for a multistate repairable system, Journal of the Operational Research Society, 2002, 53: 336\u2013341.","journal-title":"Journal of the Operational Research Society"},{"key":"6306_CR9","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1109\/TR.2003.818714","volume":"52","author":"G Levitin","year":"2003","unstructured":"Levitin G, Reliability of multi-state systems with two failure-model, IEEE Transactions on Reliability, 2003, 52: 340\u2013348.","journal-title":"IEEE Transactions on Reliability"},{"key":"6306_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1239\/jap\/1110381366","volume":"42","author":"Y Lam","year":"2005","unstructured":"Lam Y, A monotone process maintenance model for a multistate system, Journal of Applied Probability, 2005, 42: 1\u201314.","journal-title":"Journal of Applied Probability"},{"key":"6306_CR11","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1016\/j.ress.2006.01.018","volume":"92","author":"Y L Zhang","year":"2007","unstructured":"Zhang Y L, Yam R C, and Zuo M J, A bivariate optimal replacement policy for a multistate repairable system, Reliability Engineering and System Safety, 2007, 92: 535\u2013542.","journal-title":"Reliability Engineering and System Safety"},{"key":"6306_CR12","doi-asserted-by":"publisher","first-page":"1820","DOI":"10.1016\/j.amc.2011.06.066","volume":"218","author":"Y L Zhang","year":"2011","unstructured":"Zhang Y L and Wang G J, An extended replacement policy for a deteriorating system with multi-failure modes, Applied Mathematical and Computation, 2011, 218: 1820\u20131830.","journal-title":"Applied Mathematical and Computation"},{"key":"6306_CR13","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1016\/j.ress.2006.01.018","volume":"92","author":"G J Wang","year":"2007","unstructured":"Wang G J and Zhang Y L, A bivariate optimal replacement policy for a multistate repairable system, Reliability Engineering and System Safety, 2007, 92: 535\u2013542.","journal-title":"Reliability Engineering and System Safety"},{"key":"6306_CR14","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1016\/j.ejor.2012.11.053","volume":"226","author":"G J Wang","year":"2013","unstructured":"Wang G J and Zhang Y L, Optimal repair-replacement policies for a system with two types of failures, European Journal of Operational Research, 2013, 226: 500\u2013506.","journal-title":"European Journal of Operational Research"},{"key":"6306_CR15","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1111\/j.2517-6161.1972.tb00899.x","volume":"34","author":"D R Cox","year":"1972","unstructured":"Cox D R, Regression models and life tables, Journal of Royal Statistical Society B, 1972, 34: 187\u2013220.","journal-title":"Journal of Royal Statistical Society B"},{"key":"6306_CR16","volume-title":"Analysis of Survival Data","author":"D R Cox","year":"1984","unstructured":"Cox D R and Oakes D, Analysis of Survival Data, Chapman and Hall, London, 1984."},{"key":"6306_CR17","first-page":"26","volume":"52","author":"S Gasmi","year":"2003","unstructured":"Gasmi S, Love C E, and Kahle W, A general repair, proportional hazards, framework to model complex repairable systems, IEEE Transactions on Reliability, 2003, 52: 26\u201332.","journal-title":"proportional hazards, framework to model complex repairable systems, IEEE Transactions on Reliability"},{"key":"6306_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-34675-5","volume-title":"Stochastic Orders","author":"M Shaked","year":"2007","unstructured":"Shaked M and Shanthikumar J G, Stochastic Orders, Springer, New York, 2007."},{"key":"6306_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-6892-9","volume-title":"Stochastic Orders in Reliability and Risk","author":"H J Li","year":"2013","unstructured":"Li H J and Li X H, Stochastic Orders in Reliability and Risk, Springer, New York, 2013."},{"key":"6306_CR20","volume-title":"Modeling Survival Data in Medical Research","author":"D Collett","year":"2003","unstructured":"Collett D, Modeling Survival Data in Medical Research, Chapman and Hall, London, 2003."},{"key":"6306_CR21","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1017\/S0269964800005064","volume":"12","author":"H Block","year":"1998","unstructured":"Block H, Savits T, and Singh H, The reversed hazard rate function, Probability in the Engineering and Informational Sciences, 1998, 12: 69\u201370.","journal-title":"Probability in the Engineering and Informational Sciences"},{"key":"6306_CR22","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1016\/S0167-7152(00)00127-9","volume":"50","author":"A D Crescenzo","year":"2000","unstructured":"Crescenzo A D, Some results on the proportional reversed hazard model, Statistics and Probability Letters, 2000, 50: 313\u2013321.","journal-title":"Statistics and Probability Letters"},{"key":"6306_CR23","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1017\/S0269964801151077","volume":"15","author":"N K Chandra","year":"2001","unstructured":"Chandra N K and Roy D, The reversed hazard rate function, Probability in the Engineering and Informational Sciences, 2001, 15: 95\u2013102.","journal-title":"Probability in the Engineering and Informational Sciences"},{"key":"6306_CR24","doi-asserted-by":"publisher","first-page":"3525","DOI":"10.1016\/j.jspi.2007.03.029","volume":"137","author":"R C Gupta","year":"2007","unstructured":"Gupta R C and Gupta R D, Proportional reversed hazard rate model and its applications, Journal of Statistical Planning and Inference, 2007, 137: 3525\u20133536.","journal-title":"Journal of Statistical Planning and Inference"},{"key":"6306_CR25","doi-asserted-by":"publisher","first-page":"2953","DOI":"10.1080\/03610920802050935","volume":"37","author":"X H Li","year":"2008","unstructured":"Li X H and Li Z P, A mixture model of proportional reversed hazard rate, Communications in Statistics: Theory and Methods, 2008, 37: 2953\u20132963.","journal-title":"Communications in Statistics: Theory and Methods"},{"key":"6306_CR26","volume-title":"Inequalities: Theory of Majorization and Its Applications","author":"A W Marshall","year":"2009","unstructured":"Marshall A W, Olkin I, and Arnold B C, Inequalities: Theory of Majorization and Its Applications, Springer, New York, 2009."},{"key":"6306_CR27","volume-title":"Convex Functions","author":"A W Roberts","year":"1973","unstructured":"Roberts A W and Varberg D E, Convex Functions, Academic Press, New York, 1973."},{"key":"6306_CR28","volume-title":"Lifetime Distributions","author":"A W Marshall","year":"2007","unstructured":"Marshall A W and Olkin I, Lifetime Distributions, Springer, New York, 2007."},{"key":"6306_CR29","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1108\/02656710010315661","volume":"17","author":"F Leung","year":"2000","unstructured":"Leung F and Fong C Y, A repair-replacement study for gearboxes using geometric processes, International Journal of Quality & Reliability Management, 2000, 17: 285\u2013304.","journal-title":"International Journal of Quality & Reliability Management"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-017-6306-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-017-6306-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-017-6306-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,28]],"date-time":"2024-06-28T20:24:47Z","timestamp":1719606287000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-017-6306-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11,17]]},"references-count":29,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["6306"],"URL":"https:\/\/doi.org\/10.1007\/s11424-017-6306-2","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,11,17]]}}}