{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,2]],"date-time":"2023-04-02T18:51:21Z","timestamp":1680461481783},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,4,22]],"date-time":"2016-04-22T00:00:00Z","timestamp":1461283200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math Meth Oper Res"],"published-print":{"date-parts":[[2016,10]]},"DOI":"10.1007\/s00186-016-0543-3","type":"journal-article","created":{"date-parts":[[2016,4,22]],"date-time":"2016-04-22T08:08:35Z","timestamp":1461312515000},"page":"259-283","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Minimality of EDF networks with resource sharing"],"prefix":"10.1007","volume":"84","author":[{"given":"\u0141ukasz","family":"Kruk","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,4,22]]},"reference":[{"key":"543_CR1","doi-asserted-by":"crossref","unstructured":"Baruah SK (2006) Resource sharing in EDF-scheduled systems: a closer look. In: Proceedings of the 27th IEEE international real-time systems symposium (RTSS\u201906). IEEE Computer Society, Los Alamos, CA","DOI":"10.1109\/RTSS.2006.41"},{"key":"543_CR2","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1023\/A:1017987600517","volume":"39","author":"M Bramson","year":"2001","unstructured":"Bramson M (2001) Stability of earliest-due-date, first-served queueing networks. Queueing Syst Theory Appl 39:79\u2013102","journal-title":"Queueing Syst Theory Appl"},{"key":"543_CR3","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1214\/08-AAP541","volume":"19","author":"HC Gromoll","year":"2009","unstructured":"Gromoll HC, Williams RJ (2009) Fluid limits for networks with bandwidth sharing and general document size distribution. Ann Appl Probab 19:243\u2013280","journal-title":"Ann Appl Probab"},{"key":"543_CR4","doi-asserted-by":"crossref","first-page":"1719","DOI":"10.1214\/08-AAP591","volume":"19","author":"WN Kang","year":"2009","unstructured":"Kang WN, Kelly FP, Lee NH, Williams RJ (2009) State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy. Ann Appl Probab 19:1719\u20131780","journal-title":"Ann Appl Probab"},{"issue":"3","key":"543_CR5","doi-asserted-by":"crossref","first-page":"538","DOI":"10.1287\/moor.1110.0495","volume":"36","author":"\u0141 Kruk","year":"2011","unstructured":"Kruk \u0141 (2011) An open queueing network with asymptotically stable fluid model and unconventional heavy traffic behavior. Math Oper Res 36(3):538\u2013551","journal-title":"Math Oper Res"},{"key":"543_CR6","doi-asserted-by":"crossref","first-page":"1306","DOI":"10.1214\/105051604000000314","volume":"14","author":"\u0141 Kruk","year":"2004","unstructured":"Kruk \u0141, Lehoczky JP, Shreve SE, Yeung SN (2004) Earliest-deadline-first service in heavy traffic acyclic networks. Ann Appl Probab 14:1306\u20131352","journal-title":"Ann Appl Probab"},{"key":"543_CR7","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1214\/10-AAP681","volume":"21","author":"\u0141 Kruk","year":"2011","unstructured":"Kruk \u0141, Lehoczky JP, Ramanan K, Shreve SE (2011) Heavy traffic analysis for EDF queues with reneging. Ann Appl Probab 21:484\u2013545","journal-title":"Ann Appl Probab"},{"issue":"1","key":"543_CR8","first-page":"40","volume":"20","author":"CL Liu","year":"1973","unstructured":"Liu CL, Layland JW (1973) Scheduling algorithms for multiprogramming in a hard real-time environment. J Assoc Comput Mach 20(1):40\u201361","journal-title":"J Assoc Comput Mach"},{"key":"543_CR9","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1023\/A:1019138827659","volume":"15","author":"L Massouli\u00e9","year":"2000","unstructured":"Massouli\u00e9 L, Roberts J (2000) Bandwidth sharing and admission control for elastic traffic. Telecommun Syst 15:185\u2013201","journal-title":"Telecommun Syst"},{"key":"543_CR10","unstructured":"Panwar SS, Towsley D (1988) On the optimality of the STE rule for multiple server queues that serve customers with deadlines. Technical report 88-81, Department of Computer and Information Science, University Massachusetts, Amherst"},{"key":"543_CR11","unstructured":"Panwar SS, Towsley D (1992) Optimality of the stochastic earliest deadline policy for the G\/M\/c queue serving customers with deadlines. In: Second ORSA telecommunications conference. ORSA (Operations Research Society of America), Baltimore, MD"},{"key":"543_CR12","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1137\/1101016","volume":"1","author":"YuV Prohorov","year":"1956","unstructured":"Prohorov YuV (1956) Convergence of random processes and limit theorems in probability theory. Theory Probab Appl 1:157\u2013214","journal-title":"Theory Probab Appl"},{"key":"543_CR13","doi-asserted-by":"crossref","first-page":"687","DOI":"10.1287\/opre.16.3.687","volume":"16","author":"LE Schrage","year":"1968","unstructured":"Schrage LE (1968) A proof of the optimality of the shortest remaining processing time discipline. Oper Res 16:687\u2013690","journal-title":"Oper Res"},{"key":"543_CR14","doi-asserted-by":"crossref","unstructured":"Sivaraman V, Chiussi FM, Gerla M (2001) End-to-end statistical delay service under GPS and EDF scheduling: a comparison study. In Proceedings of the INFOCOM 2001, twentieth annual joint conference of the IEEE computer and communications societies, vol 2, pp 1113\u20131122, IEEE","DOI":"10.1109\/INFCOM.2001.916305"},{"key":"543_CR15","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/j.peva.2005.07.008","volume":"62","author":"M Verloop","year":"2005","unstructured":"Verloop M, Borst S, N\u00fa\u00f1ez-Queija R (2005) Stability of size-based scheduling disciplines in resource-sharing networks. Perform Eval 62:247\u2013262","journal-title":"Perform Eval"},{"key":"543_CR16","unstructured":"Vlasiou M, Zhang J, Zwart B (2015) Insensitivity of proportional fairness in critically loaded bandwidth sharing networks. http:\/\/arxiv.org\/pdf\/1411.4841"},{"key":"543_CR17","doi-asserted-by":"crossref","DOI":"10.1201\/b15702","volume-title":"Measure and integral: an introduction to real analysis","author":"RL Wheeden","year":"1977","unstructured":"Wheeden RL, Zygmund A (1977) Measure and integral: an introduction to real analysis. Marcel Dekker, New York"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-016-0543-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00186-016-0543-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-016-0543-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-016-0543-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,6]],"date-time":"2019-09-06T19:29:29Z","timestamp":1567798169000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00186-016-0543-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,22]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,10]]}},"alternative-id":["543"],"URL":"https:\/\/doi.org\/10.1007\/s00186-016-0543-3","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"value":"1432-2994","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4,22]]}}}