{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T23:57:17Z","timestamp":1772063837355,"version":"3.50.1"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2010,11,30]],"date-time":"2010-11-30T00:00:00Z","timestamp":1291075200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2011,2]]},"DOI":"10.1007\/s11134-010-9203-0","type":"journal-article","created":{"date-parts":[[2010,11,29]],"date-time":"2010-11-29T14:30:04Z","timestamp":1291041004000},"page":"111-126","source":"Crossref","is-referenced-by-count":14,"title":["Large number of queues in tandem: Scaling properties under back-pressure algorithm"],"prefix":"10.1007","volume":"67","author":[{"given":"Alexander L.","family":"Stolyar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,11,30]]},"reference":[{"key":"9203_CR1","volume-title":"Convergence of Probability Measures","author":"P. Billingsley","year":"1968","unstructured":"Billingsley, P.: Convergence of Probability Measures. Wiley, New York (1968)"},{"key":"9203_CR2","doi-asserted-by":"crossref","first-page":"2059","DOI":"10.1098\/rsta.2008.0016","volume":"366","author":"L. Bui","year":"2008","unstructured":"Bui, L., Srikant, R., Stolyar, A.L.: Optimal resource allocation for multicast flows in multihop wireless networks. Philos. Trans. R. Soc. Lond. A 366, 2059\u20132074 (2008)","journal-title":"Philos. Trans. R. Soc. Lond. A"},{"key":"9203_CR3","volume-title":"Proceeding of INFOCOM\u20192009 Mini-conference","author":"L. Bui","year":"2009","unstructured":"Bui, L., Srikant, R., Stolyar, A.L.: Novel architectures and algorithms for delay reduction in back-pressure scheduling and routing. In: Proceeding of INFOCOM\u20192009 Mini-conference (2009)"},{"key":"9203_CR4","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1287\/opre.1040.0170","volume":"53","author":"J.G. Dai","year":"2005","unstructured":"Dai, J.G., Lin, W.: Maximum pressure policies in stochastic processing networks. Oper. Res. 53, 197\u2013218 (2005)","journal-title":"Oper. Res."},{"key":"9203_CR5","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1017\/S0305004100073709","volume":"118","author":"N.G. Duffield","year":"1995","unstructured":"Duffield, N.G., O\u2018Connell, N.: Large deviations and overflow probabilities for the general single-server queue, with applications. Proc. Camb. Philos. Soc. 118, 363\u2013374 (1995)","journal-title":"Proc. Camb. Philos. Soc."},{"key":"9203_CR6","first-page":"413","volume":"31","author":"P.W. Glynn","year":"1994","unstructured":"Glynn, P.W., Whitt, W.: Logarithmic asymptotics for steady-state tail probabilities in a single-server queue. J. Appl. Probab. A 31, 413\u2013430 (1994)","journal-title":"J. Appl. Probab. A"},{"key":"9203_CR7","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1090\/S0002-9947-1975-0410986-7","volume":"213","author":"T.M. Liggett","year":"1975","unstructured":"Liggett, T.M.: Ergodic theorems for the asymmetric simple exclusion process. Trans. Am. Math. Soc. 213, 237\u2013261 (1975)","journal-title":"Trans. Am. Math. Soc."},{"key":"9203_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-8542-4","volume-title":"Interacting Particle Systems","author":"T.M. Liggett","year":"1985","unstructured":"Liggett, T.M.: Interacting Particle Systems. Springer, New York (1985)"},{"key":"9203_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03990-8","volume-title":"Stochastic Interacting Systems: Contact, Voter and Exclusion Processes","author":"T.M. Liggett","year":"1999","unstructured":"Liggett, T.M.: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Springer, New York (1999)"},{"issue":"3","key":"9203_CR10","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1017\/S0305004100036781","volume":"58","author":"R.M. Loynes","year":"1962","unstructured":"Loynes, R.M.: The stability of a queue with non-independent inter-arrival and service times. Proc. Camb. Philos. Soc. 58(3), 497\u2013520 (1962)","journal-title":"Proc. Camb. Philos. Soc."},{"key":"9203_CR11","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1023\/A:1015729701521","volume":"41","author":"J.B. Martin","year":"2002","unstructured":"Martin, J.B.: Large tandem queueing networks with blocking. Queueing Syst. 41, 45\u201372 (2002)","journal-title":"Queueing Syst."},{"key":"9203_CR12","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/s11134-005-1450-0","volume":"50","author":"A.L. Stolyar","year":"2005","unstructured":"Stolyar, A.L.: Maximizing queueing network utility subject to stability: greedy primal-dual algorithm. Queueing Syst. 50, 401\u2013457 (2005)","journal-title":"Queueing Syst."},{"key":"9203_CR13","doi-asserted-by":"crossref","first-page":"1936","DOI":"10.1109\/9.182479","volume":"37","author":"L. Tassiulas","year":"1992","unstructured":"Tassiulas, L., Ephremides, A.: Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks. IEEE Trans. Autom. Control 37, 1936\u20131948 (1992)","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-010-9203-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11134-010-9203-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-010-9203-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T03:44:41Z","timestamp":1559360681000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11134-010-9203-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,11,30]]},"references-count":13,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,2]]}},"alternative-id":["9203"],"URL":"https:\/\/doi.org\/10.1007\/s11134-010-9203-0","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,11,30]]}}}