{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T15:25:56Z","timestamp":1781105156142,"version":"3.54.1"},"reference-count":23,"publisher":"IGI Global Scientific Publishing","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,1,1]]},"abstract":"<p>This article presents the analysis of a finite buffer M\/M\/1 queue with multiple and single working vacations. The arriving customers balk (that is do not join the queue) with a probability and renege (that is leave the queue after joining) according to exponential distribution. The inter-arrival times, service times during a regular service period, service times during a vacation period and vacation times are independent and exponentially distributed random variables. Steady-state behavior of the model is considered and various performance measures, some special cases of the model and cost analysis are discussed.<\/p>","DOI":"10.4018\/jsds.2013010101","type":"journal-article","created":{"date-parts":[[2013,5,23]],"date-time":"2013-05-23T13:14:12Z","timestamp":1369314852000},"page":"1-24","source":"Crossref","is-referenced-by-count":16,"title":["Analysis of Finite Buffer Markovian Queue with Balking, Reneging and Working Vacations"],"prefix":"10.4018","volume":"4","author":[{"given":"P. Vijaya","family":"Laxmi","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Andhra University, Visakhapatnam, Andra Pradesh, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"V.","family":"Goswami","sequence":"additional","affiliation":[{"name":"School of Computer Application, KIIT University, Bhubaneswar, Orissa, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"K.","family":"Jyothsna","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Andhra University, Visakhapatnam, Andra Pradesh, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2432","reference":[{"key":"jsds.2013010101-0","doi-asserted-by":"publisher","DOI":"10.1016\/0026-2714(91)90044-8"},{"key":"jsds.2013010101-1","doi-asserted-by":"publisher","DOI":"10.1016\/0305-0548(92)90010-3"},{"key":"jsds.2013010101-2","doi-asserted-by":"publisher","DOI":"10.1016\/0026-2714(92)90008-9"},{"key":"jsds.2013010101-3","first-page":"55","article-title":"Transient solution of the state-dependent queue: M\/M\/1 with balking.","volume":"35","author":"R. 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A.Haight","year":"1957","journal-title":"Biometrika"},{"key":"jsds.2013010101-12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02613734"},{"key":"jsds.2013010101-13","doi-asserted-by":"publisher","DOI":"10.2307\/3213871"},{"key":"jsds.2013010101-14","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-5316(02)00057-3"},{"key":"jsds.2013010101-15","doi-asserted-by":"publisher","DOI":"10.1016\/0026-2714(94)00079-4"},{"key":"jsds.2013010101-16","doi-asserted-by":"publisher","DOI":"10.1504\/IJADS.2009.027931"},{"key":"jsds.2013010101-17","volume":"Vol. 1","author":"H.Takagi","year":"1991","journal-title":"Queueing analysis: A foundation of performance evaluation, vacation and priority systems, Part I"},{"key":"jsds.2013010101-18","first-page":"29","article-title":"Fluid model driven by an M\/M\/1\/N queue with single exponential vacation.","volume":"21","author":"N.Tian","year":"2010","journal-title":"International Journal of Information and Management Sciences"},{"key":"jsds.2013010101-19","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-33723-4","author":"N.Tian","year":"2006","journal-title":"Vacation queueing models: Theory and applications"},{"issue":"4","key":"jsds.2013010101-20","first-page":"621","article-title":"The M\/M\/1 queue with single working vacation.","volume":"19","author":"N.Tian","year":"2008","journal-title":"International Journal of Information and Management Sciences"},{"key":"jsds.2013010101-21","doi-asserted-by":"publisher","DOI":"10.1016\/j.peva.2005.05.005"},{"key":"jsds.2013010101-22","unstructured":"Zhang, Y., Yue, D., & Yue, W. (2005). Analysis of an M\/M\/1\/N queue with balking, reneging and server vacations. 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