{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:28:35Z","timestamp":1787336915314,"version":"3.56.0"},"reference-count":13,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2002,1]]},"abstract":"<jats:p>In this paper, we analyze a two station tandem queue with Poisson arrivals and exponential service times. All arrivals occur at the first line, and, after receiving service at the first station, they proceed to the second line. There is only a finite buffer between the stations, and, as soon as the buffer is full, any job completed by the first server is lost. To reduce customer loss, the first server can move to the second station and help the second server, thereby increasing its service rate. Once the work at station two is complete, the job leaves the system. The problem will be solved by using eigenvalues which can be obtained in explicit form. It is shown that this method is substantially faster than matrix analytic methods.<\/jats:p>","DOI":"10.1137\/s0895479801394088","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"465-474","source":"Crossref","is-referenced-by-count":12,"title":["A Tandem Queuewith a Movable Server: An Eigenvalue Approach"],"prefix":"10.1137","volume":"24","author":[{"given":"Winfried K.","family":"Grassmann","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Javad","family":"Tavakoli","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.47.10.1421.10262"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.38.1.139"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1080\/15458830.1996.11770718"},{"key":"R4","doi-asserted-by":"crossref","unstructured":"John Daigle, David Lucantoni, Queuing systems having phase\u2010dependent arrival and service rates, Probab. Pure Appl., Vol. 8, Dekker, New York, 1991, 161\u20132021142115","DOI":"10.1201\/9781003210160-10"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"H. R. Gail, S. L. Hantler, and B. A. Taylor,\n                      Use of characteristic roots for solving infinite state Markov chains\n                      , in Computational Probability, W. K. Grassmann, ed., International Series in Operations Research and Management Science, Kluwer, Boston, 2000, pp. 205\u2013254.","DOI":"10.1007\/978-1-4757-4828-4_7"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(01)00462-1"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1019139405059"},{"key":"R8","doi-asserted-by":"crossref","unstructured":"Guy Latouche, Algorithms for infinite Markov chains with repeating columns, IMA Vol. Math. Appl., Vol. 48, Springer, New York, 1993, 231\u20132651242139","DOI":"10.1007\/978-1-4613-8351-2_15"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.2307\/3214773"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1016\/0166-5316(94)00025-F"},{"key":"R11","volume-title":"Queues, inventories and maintenance. The analysis of operational systems with variable demand and supply","author":"Morse Philip","year":"1958"},{"key":"R12","unstructured":"M. R. Spiegel and J. Liu,\n                      Mathematical Handbook of Formulas and Tables\n                      , 2nd ed., Schaum\u2019s Outline Series, McGraw\u2013Hill, New York, 1999."},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1080\/15326349108807190"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479801394088","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:36:28Z","timestamp":1787333788000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0895479801394088"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1]]},"references-count":13,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,1]]}},"alternative-id":["10.1137\/S0895479801394088"],"URL":"https:\/\/doi.org\/10.1137\/s0895479801394088","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,1]]}}}