{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T23:27:36Z","timestamp":1773617256884,"version":"3.50.1"},"reference-count":26,"publisher":"Pleiades Publishing Ltd","issue":"6","license":[{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T00:00:00Z","timestamp":1622505600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Autom Remote Control"],"published-print":{"date-parts":[[2021,6]]},"DOI":"10.1134\/s0005117921060035","type":"journal-article","created":{"date-parts":[[2021,7,12]],"date-time":"2021-07-12T05:03:02Z","timestamp":1626066182000},"page":"995-1012","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Hidden Markov Model Based on Superposition\nof Two Restoration Processes"],"prefix":"10.1134","volume":"82","author":[{"given":"Yu. E.","family":"Obzherin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. M.","family":"Sidorov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. M.","family":"Nikitin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. G.","family":"Glech","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2021,7,12]]},"reference":[{"key":"2140_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0161-8","volume-title":"Semi-Markov Processes and Reliability","author":"N. Limnios","year":"2001","unstructured":"Limnios, N. and Oprisan, G., Semi-Markov\nProcesses and Reliability, New York: Springer Sci.+Business Media, 2001.\nhttps:\/\/doi.org\/10.1007\/978-1-4612-0161-8"},{"key":"2140_CR2","volume-title":"Semi-Markov Processes: Applications in System Reliability and Maintenance","author":"F. Grabski","year":"2014","unstructured":"Grabski, F., Semi-Markov Processes: Applications\nin System Reliability and Maintenance, Amsterdam: Elsevier\nSci., 2014."},{"key":"2140_CR3","volume-title":"Semi-Markov Models: Control of Restorable Systems with Latent Failures","author":"Yu.E. Obzherin","year":"2015","unstructured":"Obzherin, Yu.E. and Boyko, E.G., Semi-Markov\nModels: Control of Restorable Systems with Latent Failures, London: Elsevier Acad.\nPress, 2015."},{"key":"2140_CR4","doi-asserted-by":"publisher","unstructured":"Semi-Markov Models and\nApplications, Jansen, J. and Limnios, N., Eds., Amsterdam: Kluwer Acad. Publ.,\n1999.\nhttps:\/\/doi.org\/10.1007\/978-1-4613-3288-6","DOI":"10.1007\/978-1-4613-3288-6"},{"key":"2140_CR5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511977770","volume-title":"Probability, Random Processes, and Statistical Analysis: Applications to Communications. Signal Processing, Queueing Theory and Mathematical Finance","author":"H. Kobayashi","year":"2011","unstructured":"Kobayashi, H., Mark, B., and Turin, W., Probability, Random Processes, and Statistical Analysis: Applications to\nCommunications. Signal Processing, Queueing Theory and Mathematical Finance,\nCambridge: Cambridge Univ. Press, 2011.\nhttps:\/\/doi.org\/10.1017\/CBO9780511977770"},{"key":"2140_CR6","first-page":"432","volume":"919","author":"Y.E. Obzherin","year":"2018","unstructured":"Obzherin, Y.E., Sidorov, S.M., and Nikitin, M.M., Reliability of the\ninformation system with intermediate storage devices, CCIS, 2018, vol. 919, pp. 432\u2013444.\nhttp:\/\/doi-org-443.webvpn.fjmu.edu.cn\/10.1007\/978-3-319-99447-5_37 .","journal-title":"CCIS"},{"key":"2140_CR7","doi-asserted-by":"crossref","unstructured":"Limnios, N. and Nikulin, M., Recent Advances in\nReliability Theory: Methodology, Practice, and Inference, Limnios, N. and Nikulin,\nM., Eds., New York: Springer Sci.+Business Media, 2000.","DOI":"10.1007\/978-1-4612-1384-0"},{"key":"2140_CR8","volume-title":"Nadezhnost\u2019 sistem energetiki (Reliability of Energy Systems)","author":"Yu.N. Rudenko","year":"1989","unstructured":"Rudenko, Yu.N. and Ushakov, I.A., Nadezhnost\u2019 sistem\nenergetiki, (Reliability of Power Engineering Systems), Novosibirsk: Nauka, 1989.\n2nd ed."},{"issue":"10","key":"2140_CR9","first-page":"1393","volume":"51","author":"Yu.E. Obzherin","year":"1990","unstructured":"Obzherin, Yu.E. and Peschanskii, A.I., On one-line service system with losses\nand absolute priority, Autom. Remote Control, 1990,\nvol. 51, no. 10, pp. 1393\u20131400.","journal-title":"Autom. Remote Control"},{"issue":"4","key":"2140_CR10","doi-asserted-by":"publisher","first-page":"648","DOI":"10.1134\/S0005117919040040","volume":"80","author":"A.I. Peschansky","year":"2019","unstructured":"Peschansky, A.I., Stationary characteristics of an unreliable multi-server\nqueueing system with losses and time redundancy, Autom. Remote Control, 2019, vol. 80, no. 4,\npp. 648\u2013665.\nhttps:\/\/doi.org\/10.1134\/S0005117919040040","journal-title":"Autom. Remote Control"},{"key":"2140_CR11","volume-title":"Semi-Markov Risk Models for Finance, Insurance and Reliability","author":"J. Janssen","year":"2007","unstructured":"Janssen, J. and Manca, R., Semi-Markov Risk\nModels for Finance, Insurance and Reliability, New York: Springer Sci.+Business\nMedia, 2007."},{"key":"2140_CR12","volume-title":"Introduction to Probability Models, 9th Ed.","author":"S.M. Ross","year":"2006","unstructured":"Ross, S.M., Introduction to Probability Models, New York: Elsevier Acad.\nPress, 2006. 9th ed."},{"issue":"2","key":"2140_CR13","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1109\/5.18626","volume":"77","author":"L.R. Rabiner","year":"1989","unstructured":"Rabiner, L.R., A tutorial on hidden Markov models and selected applications\nin speech recognition, Proc. IEEE, 1989, vol. 77, no. 2,\npp. 257\u2013286.\nhttps:\/\/doi.org\/10.1109\/5.18626","journal-title":"Proc. IEEE"},{"key":"2140_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-28982-8","volume-title":"Inference in Hidden Markov Models","author":"O. Capp\u00e9","year":"2005","unstructured":"Capp\u00e9, O., Moulines, E., and Ryden, T., Inference in Hidden Markov Models, New York: Springer\nSci.+Business Media, 2005."},{"key":"2140_CR15","doi-asserted-by":"publisher","unstructured":"Obzherin, Y.E., Sidorov, S.M., and Nikitin, M.M., Hidden Markov model of\ninformation system with component-wise storage devices, in Lect.\nNotes Comput. Sci. Vol. 11965  2019, pp. 354\u2013364.\nhttps:\/\/doi.org\/10.1007\/978-3-030-36614-8_27","DOI":"10.1007\/978-3-030-36614-8_27"},{"key":"2140_CR16","volume-title":"Hidden Semi-Markov Models: Theory, Algorithms and Applications","author":"S.-Z. Yu","year":"2015","unstructured":"Yu, S.-Z., Hidden Semi-Markov Models: Theory,\nAlgorithms and Applications, Amsterdam: Elsevier Sci., 2015."},{"key":"2140_CR17","volume-title":"Semi-Markov Chains and Hidden Semi-Markov Models toward Applications: Their Use in Reliability and DNA Analysis","author":"V.S. Barbu","year":"2008","unstructured":"Barbu, V.S. and Limnios, N., Semi-Markov\nChains and Hidden Semi-Markov Models toward Applications: Their Use in Reliability and DNA\nAnalysis, New York: Springer, 2008."},{"key":"2140_CR18","doi-asserted-by":"publisher","first-page":"2007","DOI":"10.1016\/j.spl.2013.05.007","volume":"83","author":"R. Elliott","year":"2013","unstructured":"Elliott, R., Limnios, N., and Swishchuk, A., Filtering hidden semi-Markov\nchains, Stat.Probab. Lett., 2013, vol. 83, pp. 2007\u20132014.\nhttps:\/\/doi.org\/10.1016\/j.spl.2013.05.007","journal-title":"Stat.Probab. Lett."},{"key":"2140_CR19","doi-asserted-by":"publisher","DOI":"10.1017\/9781108377423","volume-title":"Introduction to Hidden Semi-Markov Models","author":"J. Van der Hoek","year":"2018","unstructured":"Van der Hoek, J. and Elliott, R., Introduction to\nHidden Semi-Markov Models, Cambridge: Cambridge Univ.\nPress, 2018."},{"key":"2140_CR20","volume-title":"Polumarkovskie protsessy i ikh prilozheniya (Semi-Markov Processes and Their Application)","author":"V.S. Korolyuk","year":"1976","unstructured":"Korolyuk, V.S. and Turbin, A.F., Polumarkovskie protsessy i ikh\nprilozheniya (Semi-Markov Processes and Their Application), Kiev: Nauk.\nDumka, 1976."},{"key":"2140_CR21","volume-title":"Protsessy markovskogo vosstanovleniya v zadachakh nadezhnosti sistem (Markov Recovery Processes in System Reliability Problems)","author":"V.S. Korolyuk","year":"1982","unstructured":"Korolyuk, V.S. and Turbin, A.F., Protsessy markovskogo\nvosstanovleniya v zadachakh nadezhnosti sistem (Markov Recovery Processes in\nSystem Reliability Problems), Kiev: Nauk. Dumka, 1982."},{"key":"2140_CR22","volume-title":"Stokhasticheskie modeli sistem (Stochastic Models of Systems)","author":"V.S. Korolyuk","year":"1989","unstructured":"Korolyuk, V.S., Stokhasticheskie modeli sistem\n(Stochastic Models of Systems), Kiev: Nauk. Dumka, 1989."},{"key":"2140_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-4625-8","volume-title":"Stochastic Models of Systems","author":"V.S. Korolyuk","year":"1999","unstructured":"Korolyuk, V.S. and Korolyuk, V.V., Stochastic\nModels of Systems, Dordrecht: Springer Sci.+Business\nMedia, 1999."},{"key":"2140_CR24","doi-asserted-by":"publisher","DOI":"10.1142\/5979","volume-title":"Stochastic Systems in Merging Phase Space","author":"V.S. Korolyuk","year":"2005","unstructured":"Korolyuk, V.S. and Limnios, N., Stochastic\nSystems in Merging Phase Space, Singapore: World Sci., 2005."},{"key":"2140_CR25","volume-title":"Polumarkovskie modeli vosstanavlivaemykh sistem i sistem massovogo obsluzhivaniya (Semi-Markov Models of Recoverable and Queueing Systems)","author":"A.N. Korlat","year":"1991","unstructured":"Korlat, A.N., Kuznetsov, V.N., Novikov, M.M., and Turbin, A.F., Polumarkovskie modeli vosstanavlivaemykh sistem i sistem massovogo\nobsluzhivaniya (Semi-Markov Models of Recoverable and Queueing Systems),\nChisinau: Stiintsa, 1991."},{"key":"2140_CR26","doi-asserted-by":"publisher","unstructured":"Obzherin, Yu.E. and Sidorov, S.M., Semi-Markov model and phase-merging\nscheme of a multi-component system with the group instantly replenished time reserve, Int. J. Reliab. Quality Safety Eng., 2019, vol. 26, no. 3, article ID\n1950014.\nhttps:\/\/doi.org\/10.1142\/S0218539319500141","DOI":"10.1142\/S0218539319500141"}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117921060035.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117921060035","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117921060035.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:38:47Z","timestamp":1773614327000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117921060035"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6]]},"references-count":26,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["2140"],"URL":"https:\/\/doi.org\/10.1134\/s0005117921060035","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6]]},"assertion":[{"value":"20 June 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 January 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 January 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 July 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}