{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T06:42:29Z","timestamp":1682491349974},"reference-count":26,"publisher":"Cambridge University Press (CUP)","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2013,3]]},"abstract":"<jats:p>Let {<jats:italic>X<\/jats:italic>(<jats:italic>t<\/jats:italic>):<jats:italic>t<\/jats:italic>\u2208\u211d} be the integrated on\u2013off process with regularly varying on-periods, and let {<jats:italic>Y<\/jats:italic>(<jats:italic>t<\/jats:italic>):<jats:italic>t<\/jats:italic>\u2208\u211d} be a centered L\u00e9vy process with regularly varying positive jumps (independent of <jats:italic>X<\/jats:italic>(\u00b7)). We study the exact asymptotics of \u2119(sup<jats:sub>\n                  <jats:italic>t<\/jats:italic>\u22650<\/jats:sub>{<jats:italic>X<\/jats:italic>(<jats:italic>t<\/jats:italic>)+<jats:italic>Y<\/jats:italic>(<jats:italic>t<\/jats:italic>)-<jats:italic>ct<\/jats:italic>}&amp;gt;<jats:italic>u<\/jats:italic>) as <jats:italic>u<\/jats:italic>\u2192\u221e, with special attention to the case <jats:italic>r=c<\/jats:italic>, where <jats:italic>r<\/jats:italic> is the increase rate of the on\u2013off process during the on-periods.<\/jats:p>","DOI":"10.1017\/s0021900200013140","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T14:49:16Z","timestamp":1459262956000},"page":"103-113","source":"Crossref","is-referenced-by-count":0,"title":["Asymptotics of Hybrid Fluid Queues with L\u00e9vy Input"],"prefix":"10.1017","volume":"50","author":[{"given":"Krzysztof","family":"D\u0119bicki","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iwona","family":"Sierpi\u0144ska","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bert","family":"Zwart","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2016,3,1]]},"reference":[{"key":"S0021900200013140_ref19","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177706632"},{"key":"S0021900200013140_ref20","doi-asserted-by":"publisher","DOI":"10.1239\/aap\/1029954275"},{"key":"S0021900200013140_ref17","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1183667406"},{"key":"S0021900200013140_ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2005.09.002"},{"key":"S0021900200013140_ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s11134-009-9114-0"},{"key":"S0021900200013140_ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s10959-007-0081-2"},{"key":"S0021900200013140_ref14","doi-asserted-by":"publisher","DOI":"10.1023\/B:QUES.0000021143.87779.3f"},{"key":"S0021900200013140_ref8","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700021224"},{"key":"S0021900200013140_ref13","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1050689595"},{"key":"S0021900200013140_ref7","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1197908822"},{"key":"S0021900200013140_ref12","doi-asserted-by":"publisher","DOI":"10.1239\/aap\/1029955141"},{"key":"S0021900200013140_ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4149(94)90113-9"},{"key":"S0021900200013140_ref11","doi-asserted-by":"publisher","DOI":"10.1214\/105051604000000332"},{"key":"S0021900200013140_ref5","doi-asserted-by":"publisher","DOI":"10.1137\/1110037"},{"key":"S0021900200013140_ref10","doi-asserted-by":"publisher","DOI":"10.1287\/moor.23.1.145"},{"key":"S0021900200013140_ref4","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1050.0159"},{"key":"S0021900200013140_ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(94)00032-8"},{"key":"S0021900200013140_ref2","doi-asserted-by":"publisher","DOI":"10.1239\/aap\/1029955142"},{"key":"S0021900200013140_ref1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1019111809660"},{"key":"S0021900200013140_ref26","doi-asserted-by":"publisher","DOI":"10.1214\/105051604000000161"},{"key":"S0021900200013140_ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2004.09.004"},{"key":"S0021900200013140_ref24","doi-asserted-by":"publisher","DOI":"10.1214\/105051604000000648"},{"key":"S0021900200013140_ref23","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4149(87)90058-5"},{"key":"S0021900200013140_ref22","first-page":"145","volume":"5","year":"1999","journal-title":"Theory Stoch. Process."},{"key":"S0021900200013140_ref21","volume-title":"Stable Non-Gaussian Random Processes","year":"1994"},{"key":"S0021900200013140_ref18","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1989-0997680-9"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200013140","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T06:10:52Z","timestamp":1682489452000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200013140\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3]]},"references-count":26,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2013,3]]}},"alternative-id":["S0021900200013140"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200013140","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"value":"0021-9002","type":"print"},{"value":"1475-6072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3]]}}}