{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T05:14:55Z","timestamp":1717564495128},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,5,17]],"date-time":"2013-05-17T00:00:00Z","timestamp":1368748800000},"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":[[2014,3]]},"DOI":"10.1007\/s11134-013-9362-x","type":"journal-article","created":{"date-parts":[[2013,5,16]],"date-time":"2013-05-16T09:56:45Z","timestamp":1368698205000},"page":"309-342","source":"Crossref","is-referenced-by-count":5,"title":["Stability of multi-class queueing networks with infinite virtual queues"],"prefix":"10.1007","volume":"76","author":[{"given":"Yongjiang","family":"Guo","sequence":"first","affiliation":[]},{"given":"Erjen","family":"Lefeber","sequence":"additional","affiliation":[]},{"given":"Yoni","family":"Nazarathy","sequence":"additional","affiliation":[]},{"given":"Gideon","family":"Weiss","sequence":"additional","affiliation":[]},{"given":"Hanqin","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,5,17]]},"reference":[{"issue":"3","key":"9362_CR1","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/s11134-006-0065-4","volume":"54","author":"IJBF Adan","year":"2006","unstructured":"Adan, I.J.B.F., Weiss, G.: Analysis of a simple Markovian re-entrant line with infinite supply of work under the LBFS policy. Queueing Syst. 54(3), 169\u2013183 (2006)","journal-title":"Queueing Syst."},{"key":"9362_CR2","volume-title":"Applied Probability and Queues","author":"S Asmussen","year":"2003","unstructured":"Asmussen, S.: Applied Probability and Queues. Springer, New York (2003)"},{"issue":"1","key":"9362_CR3","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/BF01158688","volume":"17","author":"F Baccelli","year":"1994","unstructured":"Baccelli, F., Foss, S.: Ergodicity of Jackson-type queueing networks. Queueing Syst. 17(1), 5\u201372 (1994)","journal-title":"Queueing Syst."},{"issue":"1\u20132","key":"9362_CR4","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1023\/A:1019160803783","volume":"30","author":"M Bramson","year":"1998","unstructured":"Bramson, M.: State space collapse with application to heavy traffic limits for multiclass queueing networks. Queueing Syst. 30(1\u20132), 89\u2013148 (1998)","journal-title":"Queueing Syst."},{"key":"9362_CR5","volume-title":"Stability of Queueing Networks","author":"M Bramson","year":"2008","unstructured":"Bramson, M.: Stability of Queueing Networks. Springer, Berlin (2008)"},{"issue":"2","key":"9362_CR6","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1287\/opre.36.2.202","volume":"37","author":"H Chen","year":"1988","unstructured":"Chen, H., Harrison, J.M., Mandelbaum, A., Van Ackere, A., Wein, L.M.: Empirical evaluation of a queueing network model for semiconductor wafer fabrication. Oper. Res. 37(2), 202\u2013215 (1988)","journal-title":"Oper. Res."},{"issue":"2","key":"9362_CR7","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1287\/moor.16.2.408","volume":"16","author":"H Chen","year":"1991","unstructured":"Chen, H., Mandelbaum, A.: Discrete flow networks: bottleneck analysis and fluid approximations. Math. Oper. Res. 16(2), 408\u2013446 (1991)","journal-title":"Math. Oper. Res."},{"issue":"4","key":"9362_CR8","doi-asserted-by":"crossref","first-page":"1463","DOI":"10.1214\/aop\/1176990220","volume":"19","author":"H Chen","year":"1991","unstructured":"Chen, H., Mandelbaum, A.: Stochastic discrete flow networks: diffusion approximations and bottlenecks. Ann. Probab. 19(4), 1463\u20131519 (1991)","journal-title":"Ann. Probab."},{"key":"9362_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-5301-1","volume-title":"Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization","author":"H Chen","year":"2001","unstructured":"Chen, H., Yao, D.D.: Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization. Springer, New York (2001)"},{"issue":"1","key":"9362_CR10","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1214\/aoap\/1177004828","volume":"5","author":"JG Dai","year":"1995","unstructured":"Dai, J.G.: On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models. Ann. Appl. Probab. 5(1), 49\u201377 (1995)","journal-title":"Ann. Appl. Probab."},{"issue":"2","key":"9362_CR11","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1287\/opre.1040.0170","volume":"53","author":"JG Dai","year":"2005","unstructured":"Dai, J.G., Lin, W.: Maximum pressure policies in stochastic processing networks. Oper. Res. 53(2), 197\u2013218 (2005)","journal-title":"Oper. Res."},{"issue":"1","key":"9362_CR12","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1287\/moor.21.1.115","volume":"21","author":"JG Dai","year":"1996","unstructured":"Dai, J.G., Weiss, G.: Stability and instability of fluid models for re-entrant lines. Math. Oper. Res. 21(1), 115\u2013134 (1996)","journal-title":"Math. Oper. Res."},{"issue":"3","key":"9362_CR13","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1111\/j.2517-6161.1984.tb01308.x","volume":"46","author":"MHA Davis","year":"1984","unstructured":"Davis, M.H.A.: Piecewise-deterministic Markov processes: a general class of non-diffusion stochastic models. J. R. Stat. Soc. Ser B 46(3), 353\u2013388 (1984)","journal-title":"J. R. Stat. Soc. Ser B"},{"issue":"4","key":"9362_CR14","first-page":"184","volume":"32","author":"SG Foss","year":"1991","unstructured":"Foss, S.G.: Ergodicity of queuing networks. Sib. Math. J. 32(4), 184\u2013203 (1991)","journal-title":"Sib. Math. J."},{"key":"9362_CR15","doi-asserted-by":"crossref","unstructured":"Harrison, J.M.: Brownian models of queueing networks with heterogeneous customer populations. In: Fleming, W., Lions, P.-L. (eds.) Stochastic Differential Systems, Stochastic Control Theory and Applications, pp 147\u2013186. Springer, New York (1988)","DOI":"10.1007\/978-1-4613-8762-6_11"},{"issue":"1","key":"9362_CR16","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1214\/aoap\/1019737665","volume":"10","author":"JM Harrison","year":"2000","unstructured":"Harrison, J.M.: Brownian models of open processing networks: canonical representation of workload. Ann. Appl. Probab. 10(1), 75\u2013103 (2000)","journal-title":"Ann. Appl. Probab."},{"issue":"1\u20132","key":"9362_CR17","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1023\/A:1022197004856","volume":"13","author":"SG Henderson","year":"2003","unstructured":"Henderson, S.G., Meyn, S.P., Tadic, V.B.: Performance evaluation and policy selection in multiclass networks. Discr. Event Dyn. Syst. 13(1\u20132), 149\u2013189 (2003)","journal-title":"Discr. Event Dyn. Syst."},{"key":"9362_CR18","volume-title":"Reversibility and Stochastic Networks","author":"F Kelly","year":"1979","unstructured":"Kelly, F.: Reversibility and Stochastic Networks. Wiley, New York (1979)"},{"issue":"6","key":"9362_CR19","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/S0167-6377(02)00149-9","volume":"30","author":"A Kopzon","year":"2002","unstructured":"Kopzon, A., Weiss, G.: A push pull queueing system. Oper. Res. Lett. 30(6), 351\u2013359 (2002)","journal-title":"Oper. Res. Lett."},{"issue":"1","key":"9362_CR20","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s11134-009-9121-1","volume":"62","author":"A Kopzon","year":"2009","unstructured":"Kopzon, A., Nazarathy, Y., Weiss, G.: A push-pull network with infinite supply of work. Queueing Syst. 62(1), 75\u2013111 (2009)","journal-title":"Queueing Syst."},{"issue":"1","key":"9362_CR21","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/BF01158930","volume":"13","author":"PR Kumar","year":"1993","unstructured":"Kumar, P.R.: Re-entrant lines. Queueing Syst. 13(1), 87\u2013110 (1993)","journal-title":"Queueing Syst."},{"issue":"3","key":"9362_CR22","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1109\/9.50339","volume":"AC\u201335","author":"PR Kumar","year":"1990","unstructured":"Kumar, P.R., Seidman, T.I.: Dynamic instabilities and stabilization methods in distributed real-time scheduling of manufacturing systems. IEEE Trans. Autom. Control AC\u201335(3), 289\u2013298 (1990)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"12","key":"9362_CR23","doi-asserted-by":"crossref","first-page":"1406","DOI":"10.1109\/9.106156","volume":"36","author":"SH Lu","year":"1991","unstructured":"Lu, S.H., Kumar, P.R.: Distributed scheduling based on due dates and buffer priorities. IEEE Trans. Autom. Control 36(12), 1406\u20131416 (1991)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9362_CR24","volume-title":"Control Techniques for Complex Networks","author":"SP Meyn","year":"2008","unstructured":"Meyn, S.P.: Control Techniques for Complex Networks. Cambridge University Press, Cambridge (2008)"},{"issue":"1","key":"9362_CR25","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1214\/aoap\/1177005203","volume":"4","author":"SP Meyn","year":"1994","unstructured":"Meyn, S.P., Down, D.: Stability of generalized Jackson networks. Ann. Appl. Probab. 4(1), 124\u2013148 (1994)","journal-title":"Ann. Appl. Probab."},{"issue":"1","key":"9362_CR26","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/s10479-008-0443-x","volume":"170","author":"Y Nazarathy","year":"2009","unstructured":"Nazarathy, Y., Weiss, G.: Near optimal control of queueing networks over a finite time horizon. Ann. Oper. Res. 170(1), 233\u2013249 (2009)","journal-title":"Ann. Oper. Res."},{"issue":"4","key":"9362_CR27","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.peva.2009.09.010","volume":"67","author":"Y Nazarathy","year":"2010","unstructured":"Nazarathy, Y., Weiss, G.: Positive Harris recurrence and diffusion scale analysis of a push pull queueing network. Perform. Eval. 67(4), 201\u2013217 (2010)","journal-title":"Perform. Eval."},{"issue":"3","key":"9362_CR28","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/j.orl.2013.01.013","volume":"41","author":"Y Nazarathy","year":"2013","unstructured":"Nazarathy, Y., Rojas-Nandayapa, L., Salisbury, T.S.: Non-existence of stabilizing policies for the critical push-pull network and generalizations. Oper. Res. Lett. 41(3), 265\u2013270 (2013)","journal-title":"Oper. Res. Lett."},{"issue":"3","key":"9362_CR29","first-page":"3","volume":"28","author":"AN Rybko","year":"1992","unstructured":"Rybko, A.N., Stolyar, A.L.: Ergodicity of stochastic processes describing the operation of open queueing networks. Probl. Inf. Transm. 28(3), 3\u201326 (1992)","journal-title":"Probl. Inf. Transm."},{"issue":"12","key":"9362_CR30","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(12), 1936\u20131948 (1992)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"9362_CR31","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s11134-011-9258-6","volume":"70","author":"S Tekin","year":"2012","unstructured":"Tekin, S., Andrad\u00f3ttir, S., Down, D.G.: Dynamic server allocation for unstable queueing networks with flexible servers. Queueing Syst. 70(1), 45\u201349 (2012)","journal-title":"Queueing Syst."},{"issue":"4","key":"9362_CR32","doi-asserted-by":"crossref","first-page":"304","DOI":"10.15807\/jorsj.47.304","volume":"47","author":"G Weiss","year":"2004","unstructured":"Weiss, G.: Stability of a simple re-entrant line with infinite supply of work\u2014the case of exponential processing times. J. Oper. Res. Soc. Jpn. 47(4), 304\u2013313 (2004)","journal-title":"J. Oper. Res. Soc. Jpn."},{"issue":"1\u20132","key":"9362_CR33","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1023\/A:1019108819713","volume":"30","author":"RJ Williams","year":"1998","unstructured":"Williams, R.J.: Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse. Queueing Syst. 30(1\u20132), 27\u201388 (1998)","journal-title":"Queueing Syst."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-013-9362-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11134-013-9362-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-013-9362-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,10]],"date-time":"2024-05-10T20:31:20Z","timestamp":1715373080000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11134-013-9362-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,5,17]]},"references-count":33,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,3]]}},"alternative-id":["9362"],"URL":"https:\/\/doi.org\/10.1007\/s11134-013-9362-x","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,5,17]]}}}