{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T01:51:53Z","timestamp":1672105913915},"reference-count":13,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Operations Research"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>We consider a queueing model that is primarily applicable to traffic control in communication networks that use the Selective Trunk Reservation technique. Specifically, consider two traffic streams competing for service at an<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:math>-server queueing system. Jobs from the<jats:italic>protected<\/jats:italic>stream, stream 1, are blocked only if all<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:math>servers are busy. Jobs from the<jats:italic>best effort<\/jats:italic>stream, stream 2, are blocked if<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>n<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>r<\/mml:mi><mml:mo>,<\/mml:mo><mml:mo>\u2009<\/mml:mo><mml:mo>\u2009<\/mml:mo><mml:mi>r<\/mml:mi><mml:mo>\u2265<\/mml:mo><mml:mn mathvariant=\"normal\">1<\/mml:mn><\/mml:math>, servers are busy. Blocked jobs are diverted to a secondary group of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mi>c<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>n<\/mml:mi><\/mml:math>servers with, possibly, a different service rate. We extend the literature that studied this system for the special case of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mi>r<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn mathvariant=\"normal\">1<\/mml:mn><\/mml:math>and present an explicit computational scheme to calculate the joint probabilities of the number of primary and secondary busy servers and related performance measures. We also argue that the model can be useful for bed allocation in a hospital.<\/jats:p>","DOI":"10.1155\/2016\/3478709","type":"journal-article","created":{"date-parts":[[2016,5,20]],"date-time":"2016-05-20T04:01:15Z","timestamp":1463716875000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["Selective Trunk with Multiserver Reservation"],"prefix":"10.1155","volume":"2016","author":[{"given":"Bacel","family":"Maddah","sequence":"first","affiliation":[{"name":"Department of Industrial Engineering and Management, Faculty of Engineering and Architecture, American University of Beirut, Beirut 1107 2020, Lebanon"}]},{"given":"Muhammad","family":"El-Taha","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Southern Maine, 96 Falmouth Street, Portland, ME 04104-9300, USA"}]}],"member":"98","reference":[{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-5316(00)00014-6"},{"issue":"7","key":"1","volume":"63","year":"1984","journal-title":"The Bell System Technical Journal"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/tcom.1985.1096268"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1109\/tcom.1987.1096774"},{"issue":"2","key":"15","first-page":"51","volume":"20","year":"1986","journal-title":"Australian Telecommunication Research"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/0166-5316(84)90009-9"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/0166-5316(92)90034-e"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.16.6.b384"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1287\/opre.24.5.884"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.27.5.507"},{"issue":"2","key":"9","first-page":"421","volume":"36","year":"2001","journal-title":"Health Services Research"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2008.02.004"},{"key":"16","year":"1992"}],"container-title":["Advances in Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2016\/3478709.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2016\/3478709.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2016\/3478709.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,26]],"date-time":"2016-07-26T09:26:17Z","timestamp":1469525177000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/aor\/2016\/3478709\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":13,"alternative-id":["3478709","3478709"],"URL":"https:\/\/doi.org\/10.1155\/2016\/3478709","relation":{},"ISSN":["1687-9147","1687-9155"],"issn-type":[{"value":"1687-9147","type":"print"},{"value":"1687-9155","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]}}}