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In particular we extend work of Reed &amp; Zwart on fluid models of bandwidth sharing with rate constraints under Markovian assumptions: we consider a bandwidth sharing network with rate constraints, where job sizes and deadlines have a general joint distribution. We introduce a fluid model and investigate several of its properties. In particular we show that its invariant point approximates the invariant distribution of the bandwidth sharing network if capacities are large.<\/jats:p>","DOI":"10.1145\/2034832.2034844","type":"journal-article","created":{"date-parts":[[2011,9,20]],"date-time":"2011-09-20T13:48:54Z","timestamp":1316526534000},"page":"47-49","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Fixed-point approximations of bandwidth sharing networks with rate constraints"],"prefix":"10.1145","volume":"39","author":[{"given":"Maria","family":"Frolkova","sequence":"first","affiliation":[{"name":"CWI, Amsterdam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Josh","family":"Reed","sequence":"additional","affiliation":[{"name":"NYU Stern, Kaufman Management Center, New York, NY"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bert","family":"Zwart","sequence":"additional","affiliation":[{"name":"CWI, EURANDOM, VU University Amsterdam, Georgia Tech"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2011,9,15]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-008-0426-y"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/378420.378438"},{"volume-title":"Fluid limits of bandwidth-sharing networks in overload. 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