{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:26:34Z","timestamp":1750307194474,"version":"3.41.0"},"reference-count":0,"publisher":"Association for Computing Machinery (ACM)","issue":"4","license":[{"start":{"date-parts":[[2012,3,9]],"date-time":"2012-03-09T00:00:00Z","timestamp":1331251200000},"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":[[2012,3,9]]},"abstract":"<jats:p>\n            This paper presents majorization results for\n            <jats:italic>PH<\/jats:italic>\n            -generators. Based on the majorization results, Coxian distributions are identified to be extremal\n            <jats:italic>PH<\/jats:italic>\n            -distributions with respect to the first moment for certain subsets of\n            <jats:italic>PH<\/jats:italic>\n            -distributions. Bounds on the mean of phase-type distributions are found. In addition, numerical results indicate that Coxian distributions are extremal\n            <jats:italic>PH<\/jats:italic>\n            -distributions with respect to the moment of any order for certain subsets of\n            <jats:italic>PH<\/jats:italic>\n            -distributions.\n          <\/jats:p>","DOI":"10.1145\/2185395.2185412","type":"journal-article","created":{"date-parts":[[2012,4,24]],"date-time":"2012-04-24T18:41:10Z","timestamp":1335292870000},"page":"27-27","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Majorization and Extremal\n            <i>PH<\/i>\n            -Distributions (abstract only)"],"prefix":"10.1145","volume":"39","author":[{"given":"Qi-Ming","family":"He","sequence":"first","affiliation":[{"name":"University of Waterloo"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hanqin","family":"Zhang","sequence":"additional","affiliation":[{"name":"Chinese Academy of Sciences"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Vera","sequence":"additional","affiliation":[{"name":"Tilburg University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2012,4,9]]},"container-title":["ACM SIGMETRICS Performance Evaluation Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2185395.2185412","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T10:06:02Z","timestamp":1750241162000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2185395.2185412"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3,9]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2012,3,9]]}},"alternative-id":["10.1145\/2185395.2185412"],"URL":"https:\/\/doi.org\/10.1145\/2185395.2185412","relation":{},"ISSN":["0163-5999"],"issn-type":[{"type":"print","value":"0163-5999"}],"subject":[],"published":{"date-parts":[[2012,3,9]]},"assertion":[{"value":"2012-04-09","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}