{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:14:17Z","timestamp":1750306457117,"version":"3.41.0"},"reference-count":7,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2015,9,16]],"date-time":"2015-09-16T00:00:00Z","timestamp":1442361600000},"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":[[2015,9,16]]},"abstract":"<jats:p>We look at bandwidth-sharing networks where bandwidth allocations are not known to maximize a priori any utility function. Instead, we only require the allocation functions to be 0-homogeneous and concave, which are desirable properties in many situations.<\/jats:p>\n          <jats:p>We show that a certain gradient condition is necessary and sufficient for such allocations to solve an optimization problem leading to important corollaries such as deriving the stability set of these 0-homogeneous concave allocation.<\/jats:p>","DOI":"10.1145\/2825236.2825246","type":"journal-article","created":{"date-parts":[[2015,9,22]],"date-time":"2015-09-22T12:31:00Z","timestamp":1442925060000},"page":"24-25","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Gradient bandwidth allocations"],"prefix":"10.1145","volume":"43","author":[{"given":"Matthieu","family":"Jonckheere","sequence":"first","affiliation":[{"name":"Universidad de Buenos Aires, Buenos Aires, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Seva","family":"Shneer","sequence":"additional","affiliation":[{"name":"Heriot-Watt University, Edinburgh, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2015,9,16]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11134-006-7587-7"},{"volume-title":"Wiley","year":"1979","author":"Kelly F.","key":"e_1_2_1_2_1"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1002\/ett.4460080106"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1214\/105051606000000907"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TNET.2002.1012364"},{"key":"e_1_2_1_6_1","doi-asserted-by":"crossref","unstructured":"T. Rockafellar. Convex analysis volume 28. Princeton landmarks in mathematics 1970.  T. Rockafellar. Convex analysis volume 28. Princeton landmarks in mathematics 1970.","DOI":"10.1515\/9781400873173"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1214950349"}],"container-title":["ACM SIGMETRICS Performance Evaluation Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2825236.2825246","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2825236.2825246","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T05:43:23Z","timestamp":1750225403000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2825236.2825246"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9,16]]},"references-count":7,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,9,16]]}},"alternative-id":["10.1145\/2825236.2825246"],"URL":"https:\/\/doi.org\/10.1145\/2825236.2825246","relation":{},"ISSN":["0163-5999"],"issn-type":[{"type":"print","value":"0163-5999"}],"subject":[],"published":{"date-parts":[[2015,9,16]]},"assertion":[{"value":"2015-09-16","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}