{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:41:40Z","timestamp":1750308100264,"version":"3.41.0"},"reference-count":3,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2005,9,1]],"date-time":"2005-09-01T00:00:00Z","timestamp":1125532800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGMETRICS Perform. Eval. Rev."],"published-print":{"date-parts":[[2005,9]]},"abstract":"<jats:p>\n            We propose a family of finite approximations for the departure process of a BMAP\/MAP\/1 queue. The departure process approximations are derived via an exact aggregate solution technique (called ETAQA) applied to M\/G\/1-type Markov processes. The proposed approximations are indexed by a parameter\n            <jats:italic>n<\/jats:italic>\n            (\n            <jats:italic>n<\/jats:italic>\n            &lt; 1), which determines the size of the output model as\n            <jats:italic>n<\/jats:italic>\n            + 1 block levels of the M\/G\/1-type process. This output approximation preserves exactly the marginal distribution of the true departure process and the lag correlations of the inter-departure times up to lag\n            <jats:italic>n<\/jats:italic>\n            -2. Experimental results support the applicability of the proposed approximation in traffic-based decomposition of queueing networks.\n          <\/jats:p>","DOI":"10.1145\/1101892.1101899","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"18-20","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":6,"title":["Models of the departure process of a BMAP\/MAP\/1 queue"],"prefix":"10.1145","volume":"33","author":[{"given":"Qi","family":"Zhang","sequence":"first","affiliation":[{"name":"College of William and Mary, Williamsburg, VA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Armin","family":"Heindl","sequence":"additional","affiliation":[{"name":"University of Erlangen-Nuremberg, Erlangen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Evgenia","family":"Smirni","sequence":"additional","affiliation":[{"name":"College of William and Mary, Williamsburg, VA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2005,9]]},"reference":[{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1080\/15326349108807174"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/511334.511346"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1081\/STM-200056221"}],"container-title":["ACM SIGMETRICS Performance Evaluation Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1101892.1101899","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1101892.1101899","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T16:08:01Z","timestamp":1750262881000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1101892.1101899"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,9]]},"references-count":3,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2005,9]]}},"alternative-id":["10.1145\/1101892.1101899"],"URL":"https:\/\/doi.org\/10.1145\/1101892.1101899","relation":{},"ISSN":["0163-5999"],"issn-type":[{"type":"print","value":"0163-5999"}],"subject":[],"published":{"date-parts":[[2005,9]]},"assertion":[{"value":"2005-09-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}