{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T05:02:36Z","timestamp":1775538156202,"version":"3.50.1"},"publisher-location":"New York, NY, USA","reference-count":13,"publisher":"ACM","license":[{"start":{"date-parts":[[2011,8,23]],"date-time":"2011-08-23T00:00:00Z","timestamp":1314057600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/501100002261","name":"Russian Foundation for Basic Research","doi-asserted-by":"publisher","award":["09-01-00808"],"award-info":[{"award-number":["09-01-00808"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2011,8,23]]},"DOI":"10.1145\/2021216.2021230","type":"proceedings-article","created":{"date-parts":[[2011,8,31]],"date-time":"2011-08-31T15:22:45Z","timestamp":1314804165000},"page":"93-100","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Evaluation of the mean cycle time in stochastic discrete event dynamic systems"],"prefix":"10.1145","author":[{"given":"Nikolai","family":"Krivulin","sequence":"first","affiliation":[{"name":"St. Petersburg State University, St. Petersburg, Russia"}]}],"member":"320","published-online":{"date-parts":[[2011,8,23]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"crossref","unstructured":"J. S.\n       \n      Golan\n    .\n      \n  \n   \n  Semirings and Affine Equations Over Them: Theory and Applications volume \n  556\n   of \n  Mathematics and Its Applications\n  . \n  Springer New York 2003\n  .  J. S. Golan. Semirings and Affine Equations Over Them: Theory and Applications volume 556 of Mathematics and Its Applications . Springer New York 2003.","DOI":"10.1007\/978-94-017-0383-3"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"crossref","unstructured":"B.\n       \n      Heidergott G. J.\n       \n      Olsder and \n      \n      \n      J.\n       \n      van der Woude\n    .\n      \n  \n   \n  Max-Plus at Work: Modeling and Analysis of Synchronized Systems\n  . \n  Princeton Series in Applied Mathematics\n  . \n  Princeton Univ. Press Princeton NJ 2005\n  .  B. Heidergott G. J. Olsder and J. van der Woude. Max-Plus at Work: Modeling and Analysis of Synchronized Systems . Princeton Series in Applied Mathematics. Princeton Univ. Press Princeton NJ 2005.","DOI":"10.1515\/9781400865239"},{"key":"e_1_3_2_1_3_1","volume-title":"The International Series on Discrete Event Dynamic Systems","volume":"15","author":"Heidergott B. F.","year":"2007"},{"key":"e_1_3_2_1_4_1","unstructured":"A.\n       \n      Jean-Marie\n    .\n      \n  \n   \n  Analytical computation of lyapunov exponents in stochastic event graphs. In O. J. Boxma and G. M. Koole editors Performance Evaluation of Parallel and Distributed Systems. Solution Methods: Proceedings of the Third QMIPS Workshop. Part 2 volume \n  106\n   of \n  CWI Tracts pages \n  309\n  --\n  341\n  . \n  CWI Amsterdam 1994\n  .  A. Jean-Marie. Analytical computation of lyapunov exponents in stochastic event graphs. In O. J. Boxma and G. M. Koole editors Performance Evaluation of Parallel and Distributed Systems. Solution Methods: Proceedings of the Third QMIPS Workshop. Part 2 volume 106 of CWI Tracts pages 309--341. CWI Amsterdam 1994."},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996798"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"crossref","unstructured":"V. N.\n       \n      Kolokoltsov\n     and \n      \n      \n      V. P.\n       \n      Maslov\n      \n  \n  . \n  Idempotent Analysis and Its Applications volume \n  401\n   of \n  Mathematics and Its Applications\n  . \n  Kluwer Academic Publishers Dordrecht 1997\n  .  V. N. Kolokoltsov and V. P. Maslov. Idempotent Analysis and Its Applications volume 401 of Mathematics and Its Applications . Kluwer Academic Publishers Dordrecht 1997.","DOI":"10.1007\/978-94-015-8901-7"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10958-007-0515-5"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.3103\/S1063454108010068"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.3103\/S1063454109020058"},{"key":"e_1_3_2_1_10_1","first-page":"706","volume-title":"Proceedings MATHMOD 2009 Vienna -- Full Papers CD Volume","author":"Krivulin N. K.","year":"2009"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.3103\/S1063454111010092"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/9.50340"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"crossref","unstructured":"J. A. C. Resing R. E. De Vries G. Hooghiemstra M. S. Keane and G. J. Olsder. Asymptotic behavior of random discrete event systems. Stochastic Processes and their Applications 36(2):195--216 December 1990.  J. A. C. Resing R. E. De Vries G. Hooghiemstra M. S. Keane and G. J. Olsder. Asymptotic behavior of random discrete event systems. Stochastic Processes and their Applications 36(2):195--216 December 1990.","DOI":"10.1016\/0304-4149(90)90091-6"}],"event":{"name":"QTNA '11: 6th International Conference on Queueing Theory and Network Applications","location":"Seoul Korea","acronym":"QTNA '11","sponsor":["Korea University","SIGMETRICS ACM Special Interest Group on Measurement and Evaluation"]},"container-title":["Proceedings of the 6th International Conference on Queueing Theory and Network Applications"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2021216.2021230","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2021216.2021230","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T09:54:23Z","timestamp":1750240463000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2021216.2021230"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8,23]]},"references-count":13,"alternative-id":["10.1145\/2021216.2021230","10.1145\/2021216"],"URL":"https:\/\/doi.org\/10.1145\/2021216.2021230","relation":{},"subject":[],"published":{"date-parts":[[2011,8,23]]},"assertion":[{"value":"2011-08-23","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}