{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:32:32Z","timestamp":1740123152235,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2023,9,10]],"date-time":"2023-09-10T00:00:00Z","timestamp":1694304000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,9,10]],"date-time":"2023-09-10T00:00:00Z","timestamp":1694304000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"NCN Grant","award":["2018\/31\/B\/ST1\/00370"],"award-info":[{"award-number":["2018\/31\/B\/ST1\/00370"]}]},{"DOI":"10.13039\/501100001711","name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","doi-asserted-by":"publisher","award":["200021-196888"],"award-info":[{"award-number":["200021-196888"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2023,10]]},"DOI":"10.1007\/s11134-023-09890-y","type":"journal-article","created":{"date-parts":[[2023,9,10]],"date-time":"2023-09-10T15:02:08Z","timestamp":1694358128000},"page":"139-170","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Sojourns of fractional Brownian motion queues: transient asymptotics"],"prefix":"10.1007","volume":"105","author":[{"given":"Krzysztof","family":"D\u0229bicki","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Enkelejd","family":"Hashorva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3980-5557","authenticated-orcid":false,"given":"Peng","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,9,10]]},"reference":[{"key":"9890_CR1","doi-asserted-by":"publisher","DOI":"10.1002\/9780470515099","volume-title":"Large Deviations for Gaussian Queues: Modelling Communication Networks","author":"M Mandjes","year":"2007","unstructured":"Mandjes, M.: Large Deviations for Gaussian Queues: Modelling Communication Networks. Wiley, Hoboken (2007)"},{"issue":"3","key":"9890_CR2","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1007\/BF01158964","volume":"16","author":"I Norros","year":"1994","unstructured":"Norros, I.: A storage model with self-similar input. Queueing Syst. 16(3), 387\u2013396 (1994)","journal-title":"Queueing Syst."},{"issue":"2","key":"9890_CR3","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1145\/263876.263879","volume":"27","author":"MS Taqqu","year":"1997","unstructured":"Taqqu, M.S., Willinger, W., Sherman, R.: Proof of a fundamental result in self-similar traffic modeling. ACM SIGCOMM Comput. Commun. Rev. 27(2), 5\u201323 (1997)","journal-title":"ACM SIGCOMM Comput. Commun. Rev."},{"issue":"1","key":"9890_CR4","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1214\/aoap\/1015961155","volume":"12","author":"T Mikosch","year":"2002","unstructured":"Mikosch, T., Resnick, S., Rootz\u00e9n, H., Stegeman, A.: Is network traffic appriximated by stable L\u00e9vy motion or fractional Brownian motion? Ann. Appl. Probab. 12(1), 23\u201368 (2002)","journal-title":"Ann. Appl. Probab."},{"issue":"2","key":"9890_CR5","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1016\/S0304-4149(99)00041-1","volume":"83","author":"J H\u00fcsler","year":"1999","unstructured":"H\u00fcsler, J., Piterbarg, V.I.: Extremes of a certain class of Gaussian processes. Stoch. Process. Appl. 83(2), 257\u2013271 (1999)","journal-title":"Stoch. Process. Appl."},{"issue":"2","key":"9890_CR6","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1016\/j.spa.2004.04.004","volume":"113","author":"J H\u00fcsler","year":"2004","unstructured":"H\u00fcsler, J., Piterbarg, V.I.: On the ruin probability for physical fractional Brownian motion. Stoch. Process. Appl. 113(2), 315\u2013332 (2004)","journal-title":"Stoch. Process. Appl."},{"issue":"2","key":"9890_CR7","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1016\/j.spa.2004.09.005","volume":"115","author":"AB Dieker","year":"2005","unstructured":"Dieker, A.B.: Extremes of Gaussian processes over an infinite horizon. Stoch. Process. Appl. 115(2), 207\u2013248 (2005)","journal-title":"Stoch. Process. Appl."},{"issue":"2","key":"9890_CR8","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/s10687-016-0240-x","volume":"19","author":"K D\u0229bicki","year":"2016","unstructured":"D\u0229bicki, K., Liu, P.: Extremes of stationary Gaussian storage models. Extremes 19(2), 273\u2013302 (2016)","journal-title":"Extremes"},{"key":"9890_CR9","unstructured":"Lieshout, P., Mandjes, M.: Transient analysis of Brownian queues. In: CWI. Probability, Networks and Algorithms [PNA], no.\u00a0R0705 (2007)"},{"issue":"3","key":"9890_CR10","doi-asserted-by":"publisher","first-page":"560","DOI":"10.2307\/1427408","volume":"19","author":"J Abate","year":"1987","unstructured":"Abate, J., Whitt, W.: Transient behavior of regulated Brownian motion, I: starting at the origin. Adv. Appl. Probab. 19(3), 560\u2013598 (1987)","journal-title":"Adv. Appl. Probab."},{"issue":"3","key":"9890_CR11","doi-asserted-by":"publisher","first-page":"599","DOI":"10.2307\/1427409","volume":"19","author":"J Abate","year":"1987","unstructured":"Abate, J., Whitt, W.: Transient behavior of regulated Brownian motion, II: non-zero initial conditions. Adv. Appl. Probab. 19(3), 599\u2013631 (1987)","journal-title":"Adv. Appl. Probab."},{"issue":"2","key":"9890_CR12","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1080\/15326348808807083","volume":"4","author":"J Abate","year":"1988","unstructured":"Abate, J., Whitt, W.: The correlation functions of RBM and M\/M\/1. Commun. Stat. Stoch. Models 4(2), 315\u2013359 (1988)","journal-title":"Commun. Stat. Stoch. Models"},{"issue":"4","key":"9890_CR13","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1007\/s11134-009-9120-2","volume":"62","author":"K D\u0229bicki","year":"2009","unstructured":"D\u0229bicki, K., Es-Saghouani, A., Mandjes, M.: Transient characteristics of Gaussian queues. Queueing Syst. 62(4), 383\u2013409 (2009)","journal-title":"Queueing Syst."},{"issue":"2","key":"9890_CR14","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1080\/15326340902869887","volume":"25","author":"A Es-Saghouani","year":"2009","unstructured":"Es-Saghouani, A., Mandjes, M.: On the dependence structure of Gaussian queues. Stoch. Model. 25(2), 221\u2013247 (2009)","journal-title":"Stoch. Model."},{"issue":"1","key":"9890_CR15","doi-asserted-by":"publisher","first-page":"249","DOI":"10.30757\/ALEA.v20-10","volume":"20","author":"K D\u0229bicki","year":"2023","unstructured":"D\u0229bicki, K., Hashorva, E., Liu, P., Michna, Z.: Sojourn times of Gaussian and related random fields. ALEA Lat. Am. J. Probab. Math. Stat. 20(1), 249\u2013289 (2023)","journal-title":"ALEA Lat. Am. J. Probab. Math. Stat."},{"key":"9890_CR16","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1023\/A:1013973109998","volume":"4","author":"VI Piterbarg","year":"2001","unstructured":"Piterbarg, V.I.: Large deviations of a storage process with fractional Brownian motion as input. Extremes 4, 147\u2013164 (2001)","journal-title":"Extremes"},{"key":"9890_CR17","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1007\/s10687-014-0188-7","volume":"17","author":"K D\u0229bicki","year":"2014","unstructured":"D\u0229bicki, K., Kosi\u0144ski, K.: On the infimum attained by the reflected fractional Brownian motion. Extremes 17, 431\u2013446 (2014)","journal-title":"Extremes"},{"key":"9890_CR18","doi-asserted-by":"publisher","first-page":"2119","DOI":"10.1007\/s10959-019-00934-9","volume":"33","author":"K D\u0229bicki","year":"2020","unstructured":"D\u0229bicki, K., Liu, P., Michna, Z.: Sojourn times of Gaussian process with trends. J. Theoret. Probab. 33, 2119\u20132166 (2020)","journal-title":"J. Theoret. Probab."},{"key":"9890_CR19","unstructured":"Adler, R.J., Taylor, J.E.: Random Fields and Geometry. In: Springer Monographs in Mathematics. Springer, New York (2007)"},{"key":"9890_CR20","unstructured":"Piterbarg, V.I.: Asymptotic Methods in the Theory of Gaussian Processes and Fields, vol.\u00a0148 of Translations of Mathematical Monographs. American Mathematical Society, Providence, RI (1996)"},{"issue":"4","key":"9890_CR21","doi-asserted-by":"publisher","first-page":"1037","DOI":"10.1017\/apr.2017.33","volume":"49","author":"K D\u0229bicki","year":"2017","unstructured":"D\u0229bicki, K., Hashorva, E., Liu, P.: Uniform tail approximation of homogenous functionals of Gaussian fields. Adv. Appl. Probab. 49(4), 1037\u20131066 (2017)","journal-title":"Adv. Appl. Probab."},{"key":"9890_CR22","doi-asserted-by":"crossref","unstructured":"Berman, S.M.: Excursions of stationary gaussian processes above high moving barriers. Ann. Probab. 365\u2013387 (1973)","DOI":"10.1214\/aop\/1176996932"},{"key":"9890_CR23","unstructured":"Berman, S.M.: Sojourns and extremes of stochastic processes. The Wadsworth and Brooks\/Cole Statistics\/Probability Series, Pacific Grove, CA: Wadsworth and Brooks\/Cole Advanced Books and Software (1992)"}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-023-09890-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11134-023-09890-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-023-09890-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T10:13:05Z","timestamp":1698142385000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11134-023-09890-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,10]]},"references-count":23,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2023,10]]}},"alternative-id":["9890"],"URL":"https:\/\/doi.org\/10.1007\/s11134-023-09890-y","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"type":"print","value":"0257-0130"},{"type":"electronic","value":"1572-9443"}],"subject":[],"published":{"date-parts":[[2023,9,10]]},"assertion":[{"value":"17 February 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 August 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 August 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 September 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}