{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,12]],"date-time":"2025-04-12T23:48:58Z","timestamp":1744501738210},"reference-count":13,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2010,5,1]],"date-time":"2010-05-01T00:00:00Z","timestamp":1272672000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,16]],"date-time":"2013-07-16T00:00:00Z","timestamp":1373932800000},"content-version":"vor","delay-in-days":1172,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Procedia Computer Science"],"published-print":{"date-parts":[[2010,5]]},"DOI":"10.1016\/j.procs.2010.04.175","type":"journal-article","created":{"date-parts":[[2010,6,7]],"date-time":"2010-06-07T08:11:36Z","timestamp":1275898296000},"page":"1561-1569","source":"Crossref","is-referenced-by-count":84,"title":["Numerical solution of level dependent quasi-birth-and-death processes"],"prefix":"10.1016","volume":"1","author":[{"given":"Hendrik","family":"Baumann","sequence":"first","affiliation":[]},{"given":"Werner","family":"Sandmann","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.procs.2010.04.175_br000005","series-title":"Matrix-Geometric Solutions in Stochastic Models","author":"Neuts","year":"1981"},{"key":"10.1016\/j.procs.2010.04.175_br000010","doi-asserted-by":"crossref","first-page":"650","DOI":"10.2307\/3214773","article-title":"A logarithmic reduction algorithm for quasi birth and death processes","volume":"30","author":"Latouche","year":"1993","journal-title":"Journal of Applied Probability"},{"key":"10.1016\/j.procs.2010.04.175_br000015","series-title":"Introduction to Matrix Analytic Methods in Stochastic Modeling","author":"Latouche","year":"1999"},{"issue":"4","key":"10.1016\/j.procs.2010.04.175_br000020","doi-asserted-by":"crossref","first-page":"715","DOI":"10.2307\/1427338","article-title":"Finite birth-and-death models in randomly changing environments","volume":"16","author":"Gaver","year":"1984","journal-title":"Advances in Applied Probability"},{"issue":"3","key":"10.1016\/j.procs.2010.04.175_br000025","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1080\/15326349508807357","article-title":"Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes","volume":"11","author":"Bright","year":"1995","journal-title":"Stochastic Models"},{"issue":"6","key":"10.1016\/j.procs.2010.04.175_br000030","doi-asserted-by":"crossref","first-page":"1156","DOI":"10.1287\/opre.40.6.1156","article-title":"Numerical methods in Markov chain modelling","volume":"40","author":"Philippe","year":"1992","journal-title":"Operations Research"},{"key":"10.1016\/j.procs.2010.04.175_br000035","series-title":"Introduction to the Numerical Solution of Markov Chains","author":"Stewart","year":"1994"},{"key":"10.1016\/j.procs.2010.04.175_br000040","first-page":"46","article-title":"Matrix continued fractions related to first-order linear recurrence systems","volume":"4","author":"Levrie","year":"1996","journal-title":"Electronical Transactions on Numerical Analysis"},{"issue":"4","key":"10.1016\/j.procs.2010.04.175_br000045","doi-asserted-by":"crossref","first-page":"838","DOI":"10.2307\/3214716","article-title":"Markov chains and generalized continued fractions","volume":"29","author":"Hanschke","year":"1992","journal-title":"Journal of Applied Probability"},{"key":"10.1016\/j.procs.2010.04.175_br000050","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/S0895-7177(99)00139-9","article-title":"A matrix continued fraction algorithm for the multiserver repeated order queue","volume":"30","author":"Hanschke","year":"1999","journal-title":"Mathematical and Computer Modelling"},{"issue":"1\u20133","key":"10.1016\/j.procs.2010.04.175_br000055","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/S0024-3795(00)00196-8","article-title":"Convergence of matrix continued fractions","volume":"320","author":"Raissouli","year":"2000","journal-title":"Linear Algebra and its Applications"},{"issue":"2","key":"10.1016\/j.procs.2010.04.175_br000060","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1006\/jath.1998.3232","article-title":"Matrix continued fractions","volume":"96","author":"Sorokin","year":"1999","journal-title":"Journal of Approximation Theory"},{"issue":"1","key":"10.1016\/j.procs.2010.04.175_br000065","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/S0021-9045(02)00016-3","article-title":"Matrix-valued continued fractions","volume":"120","author":"Zhao","year":"2003","journal-title":"Journal of Approximation Theory"}],"container-title":["Procedia Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1877050910001766?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1877050910001766?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,3,15]],"date-time":"2021-03-15T21:29:05Z","timestamp":1615843745000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1877050910001766"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,5]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,5]]}},"alternative-id":["S1877050910001766"],"URL":"https:\/\/doi.org\/10.1016\/j.procs.2010.04.175","relation":{},"ISSN":["1877-0509"],"issn-type":[{"value":"1877-0509","type":"print"}],"subject":[],"published":{"date-parts":[[2010,5]]}}}