{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:52:34Z","timestamp":1750308754230,"version":"3.41.0"},"reference-count":10,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2006,12,1]],"date-time":"2006-12-01T00:00:00Z","timestamp":1164931200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGMETRICS Perform. Eval. Rev."],"published-print":{"date-parts":[[2006,12]]},"abstract":"<jats:p>This note establishes stationarity of a number of stochastic processes of interest in the study of Transport Protocols. For many of the processes studied in this note stationarity had been established before, but for one class the result is new. For that class, it was counterintuitive that stationarity was hard to prove. This note also explains why that class offered such stiff resistance.The stationarity is proven using Liapunov functions, without first proving tightness by proving boundedness of moments. After the 2006 MAMA workshop simple conditions for existence of such moments were obtained and were added to this note.<\/jats:p>","DOI":"10.1145\/1215956.1215969","type":"journal-article","created":{"date-parts":[[2007,4,5]],"date-time":"2007-04-05T19:52:18Z","timestamp":1175802738000},"page":"30-32","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Stationarity of some processes in transport protocols"],"prefix":"10.1145","volume":"34","author":[{"given":"Teunis J.","family":"Ott","sequence":"first","affiliation":[{"name":"Ott Associates, Chester, NJ"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jason","family":"Swanson","sequence":"additional","affiliation":[{"name":"Univ Wisconsin, Madison, Wisc."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2006,12]]},"reference":[{"volume-title":"The stationary behavior of ideal TCP congestion avoidance, revisited. Draft","year":"2004","author":"Ott T. J.","key":"e_1_2_1_1_1"},{"volume-title":"The stationary behavior of ideal TCP congestion avoidance.","year":"1996","author":"Ott T. J.","key":"e_1_2_1_2_1"},{"key":"e_1_2_1_3_1","first-page":"351","volume-title":"Transport Protocols in the TCP Paradigm and their Performance. Telecommunication Systems30:4","author":"Ott T. J.","year":"2005"},{"volume-title":"Rate of convergence for the \"Square Root Formula\" in TCP. To appear in Adv. Appl. Prob. 38.4 (Dec","year":"2006","author":"Ott T. J.","key":"e_1_2_1_4_1"},{"volume-title":"Rate of convergence for the \"Square Root Formula\" in TCP, extended version. (Extended version of the paper above). www.teunisott.com\/Papers","year":"2006","author":"Ott T. J.","key":"e_1_2_1_5_1"},{"volume-title":"Asymptotic Behavior of a Generalized TCP Congestion Avoidance Algorithm. (Submitted)","year":"2006","author":"Ott T. J.","key":"e_1_2_1_6_1"},{"volume-title":"Stationarity of some processes in Transport Protocols, extended version. (An extended version of this paper).","year":"2006","author":"Ott T. J.","key":"e_1_2_1_7_1"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/263932.264023"},{"key":"e_1_2_1_9_1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-3267-7","volume-title":"Markov Chains and Stochastic Stability Springer","author":"Meyn S. P.","year":"1993"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/956981.956989"}],"container-title":["ACM SIGMETRICS Performance Evaluation Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1215956.1215969","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1215956.1215969","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T20:22:23Z","timestamp":1750278143000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1215956.1215969"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,12]]},"references-count":10,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2006,12]]}},"alternative-id":["10.1145\/1215956.1215969"],"URL":"https:\/\/doi.org\/10.1145\/1215956.1215969","relation":{},"ISSN":["0163-5999"],"issn-type":[{"type":"print","value":"0163-5999"}],"subject":[],"published":{"date-parts":[[2006,12]]},"assertion":[{"value":"2006-12-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}