{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:21:42Z","timestamp":1773656502448,"version":"3.50.1"},"reference-count":0,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"2","license":[{"start":{"date-parts":[[2014,6,26]],"date-time":"2014-06-26T00:00:00Z","timestamp":1403740800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A packet buffer limited to a \ufb01xed number of packets (regardless of their lengths) is considered. The buffer is described as a \ufb01nite FIFO queuing system fed by a Markovian Arrival Process (MAP) with service times forming a Semi-Markov (SM) process (MAP \/SM \/1\/b in Kendall\u2019s notation). Such assumptions allow us to obtain new analytical results for the queuing characteristics of the buffer. In the paper, the following are considered: the time to \ufb01ll the buffer, the local loss intensity, the loss ratio, and the total number of losses in a given time interval. Predictions of the proposed model are much closer to the trace-driven simulation results compared with the prediction of the MAP \/G\/1\/b model.<\/jats:p>","DOI":"10.2478\/amcs-2014-0033","type":"journal-article","created":{"date-parts":[[2014,6,30]],"date-time":"2014-06-30T20:22:53Z","timestamp":1404159773000},"page":"429-442","source":"Crossref","is-referenced-by-count":6,"title":["Transient and stationary characteristics of a packet buffer modelled as an <i>MAP\/SM\/1\/b<\/i> system"],"prefix":"10.61822","volume":"24","author":[{"given":"Krzysztof","family":"Rusek","sequence":"first","affiliation":[{"name":"Department of Telecommunications AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Cracow, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lucjan","family":"Janowski","sequence":"additional","affiliation":[{"name":"Department of Telecommunications AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Cracow, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zdzis\u0142aw","family":"Papir","sequence":"additional","affiliation":[{"name":"Department of Telecommunications AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Cracow, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"37438","published-online":{"date-parts":[[2014,6,26]]},"container-title":["International Journal of Applied Mathematics and Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/amcs\/24\/2\/article-p429.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.sciendo.com\/pdf\/10.2478\/amcs-2014-0033","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:28:36Z","timestamp":1709202516000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.sciendo.com\/article\/10.2478\/amcs-2014-0033"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,6,26]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2014,6,26]]}},"alternative-id":["10.2478\/amcs-2014-0033"],"URL":"https:\/\/doi.org\/10.2478\/amcs-2014-0033","relation":{},"ISSN":["2083-8492"],"issn-type":[{"value":"2083-8492","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,6,26]]}}}