{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:32:26Z","timestamp":1740123146699,"version":"3.37.3"},"reference-count":76,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T00:00:00Z","timestamp":1619481600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T00:00:00Z","timestamp":1619481600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2021,6]]},"DOI":"10.1007\/s11134-021-09705-y","type":"journal-article","created":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T12:26:15Z","timestamp":1619526375000},"page":"95-143","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependency"],"prefix":"10.1007","volume":"98","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3755-9698","authenticated-orcid":false,"given":"Ioannis","family":"Dimitriou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,4,27]]},"reference":[{"issue":"1","key":"9705_CR1","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/s10479-013-1495-0","volume":"241","author":"IJBF Adan","year":"2016","unstructured":"Adan, I.J.B.F., Boxma, O.J., Kapodistria, S., Kulkarni, V.G.: The shorter queue polling model. Ann. Oper. Res. 241(1), 167\u2013200 (2016)","journal-title":"Ann. Oper. Res."},{"issue":"2\u20133","key":"9705_CR2","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/s11134-012-9324-8","volume":"74","author":"IJBF Adan","year":"2013","unstructured":"Adan, I.J.B.F., Kapodistria, S., van Leeuwaarden, J.S.H.: Erlang arrivals joining the shorter queue. Queueing Syst. 74(2\u20133), 273\u2013302 (2013)","journal-title":"Queueing Syst."},{"issue":"2","key":"9705_CR3","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1017\/S0963548312000594","volume":"22","author":"IJBF Adan","year":"2013","unstructured":"Adan, I.J.B.F., van Leeuwaarden, J.S.H., Raschel, K.: The compensation approach for walks with small steps in the quarter plane. Comb. Probab. Comput. 22(2), 161\u2013183 (2013)","journal-title":"Comb. Probab. Comput."},{"issue":"1","key":"9705_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF02412240","volume":"8","author":"IJBF Adan","year":"1991","unstructured":"Adan, I.J.B.F., Wessels, J., Zijm, W.H.M.: Analysis of the asymmetric shortest queue problem. Queueing Syst. 8(1), 1\u201358 (1991)","journal-title":"Queueing Syst."},{"issue":"4","key":"9705_CR5","doi-asserted-by":"publisher","first-page":"783","DOI":"10.2307\/1427792","volume":"25","author":"IJBF Adan","year":"1993","unstructured":"Adan, I.J.B.F., Wessels, J., Zijm, W.H.M.: A compensation approach for two-dimentional Markov processes. Adv. Appl. Probab. 25(4), 783\u2013817 (1993)","journal-title":"Adv. Appl. Probab."},{"issue":"2","key":"9705_CR6","first-page":"497","volume":"37","author":"A Aveklouris","year":"2017","unstructured":"Aveklouris, A., Vlasiou, M., Zhang, J., Zwart, A.: Heavy-traffic approximations for a layered network with limited resources. Probab. Math. Stat. 37(2), 497\u2013532 (2017)","journal-title":"Probab. Math. Stat."},{"issue":"1\u20134","key":"9705_CR7","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/s11134-009-9144-7","volume":"63","author":"T Bonald","year":"2009","unstructured":"Bonald, T., Borst, S.C., Hegde, N., Jonckheere, M., Prouti\u00e8re, A.: Flow-level performance and capacity of wireless networks with user mobility. Queueing Syst. 63(1\u20134), 131\u2013164 (2009)","journal-title":"Queueing Syst."},{"key":"9705_CR8","doi-asserted-by":"crossref","unstructured":"Bonald, T., Prouti\u00e8re, A.: Wireless downlink data channels: user performance and cell dimensioning. In: Proceedings of the 9th Annual International Conference on Mobile Computing and Networking, MobiCom \u201903, pp. 339\u2013352. ACM, NY, USA (2003)","DOI":"10.1145\/938985.939020"},{"key":"9705_CR9","series-title":"Wiley Series in Probability and Statistics","volume-title":"Ergodicity and Stability of Stochastic Processes","author":"A Borovkov","year":"1998","unstructured":"Borovkov, A.: Ergodicity and Stability of Stochastic Processes. Wiley Series in Probability and Statistics. Wiley, Hoboken (1998)"},{"issue":"3","key":"9705_CR10","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1109\/TNET.2005.850215","volume":"13","author":"S Borst","year":"2005","unstructured":"Borst, S.: User-level performance of channel-aware scheduling algorithms in wireless data networks. IEEE\/ACM Trans. Netw. 13(3), 636\u2013647 (2005)","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"9705_CR11","doi-asserted-by":"crossref","first-page":"1260","DOI":"10.1109\/INFCOM.2009.5062040","volume":"2009","author":"S Borst","year":"2009","unstructured":"Borst, S., Hegde, N., Proutiere, A.: Mobility-driven scheduling in wireless networks. IEEE INFOCOM 2009, 1260\u20131268 (2009)","journal-title":"IEEE INFOCOM"},{"key":"9705_CR12","doi-asserted-by":"crossref","unstructured":"Borst, S.C., den Hollander, F., Nardi, F.R., Sfragara, M.: Transition time asymptotics of queue-based activation protocols in random-access networks. Stoch. Process. Their Appl. 130(12), 7483\u20137517 (2020)","DOI":"10.1016\/j.spa.2020.08.004"},{"issue":"2","key":"9705_CR13","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/s11134-014-9408-8","volume":"77","author":"N Bouman","year":"2014","unstructured":"Bouman, N., Borst, S., van Leeuwaarden, J.: Delay performance in random-access networks. Queueing Syst. 77(2), 211\u2013242 (2014)","journal-title":"Queueing Syst."},{"key":"9705_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/conm\/520\/10252","volume":"520","author":"M Bousquet-M\u00e9lou","year":"2010","unstructured":"Bousquet-M\u00e9lou, M., Mishna, M.: Walks with small steps in the quarter plane. Contemp. math. Am. Math. Soc. 520, 1\u201340 (2010)","journal-title":"Contemp. math. Am. Math. Soc."},{"issue":"3","key":"9705_CR15","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1016\/S0377-2217(97)82089-9","volume":"103","author":"O Boxma","year":"1997","unstructured":"Boxma, O., Down, D.: Dynamic server assignment in a two-queue model. Eur. J. Oper. Res. 103(3), 595\u2013609 (1997)","journal-title":"Eur. J. Oper. Res."},{"key":"9705_CR16","unstructured":"Boyer, J., Guillemin, F., Robert, P., Zwart, B.: Heavy tailed M\/G\/1-PS queues with impatience and admission control in packet networks. In: Proceedings IEEE INFOCOM 2003, San Franciso, CA, USA, March 30\u2013April 3, 2003, pp. 186\u2013195. IEEE Computer Society (2003)"},{"key":"9705_CR17","doi-asserted-by":"crossref","unstructured":"Carofiglio, G., Muscariello, L.: On the impact of tcp and per-flow scheduling on internet performance. In: 2010 Proceedings IEEE INFOCOM, pp. 1\u20139 (2010)","DOI":"10.1109\/INFCOM.2010.5461973"},{"key":"9705_CR18","doi-asserted-by":"crossref","unstructured":"Castiel, E., Borst, S., Miclo, L., Simatos, F., Whiting, P.: Induced idleness leads to deterministic heavy traffic limits for queue-based random\u2013access algorithms. Ann. Appl. Probab. 31(2), 941\u2013971 (2021)","DOI":"10.1214\/20-AAP1609"},{"issue":"2","key":"9705_CR19","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1016\/j.ejor.2005.12.036","volume":"178","author":"DI Choi","year":"2007","unstructured":"Choi, D.I., Kim, T.S., Lee, S.: Analysis of a queueing system with a general service scheduling function, with applications to telecommunication network traffic control. Eur. J. Oper. Res. 178(2), 463\u2013471 (2007)","journal-title":"Eur. J. Oper. Res."},{"issue":"3","key":"9705_CR20","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1049\/ip-com:20010115","volume":"148","author":"DI Choi","year":"2001","unstructured":"Choi, D.I., Lee, Y.: Performance analysis of a dynamic priority queue for traffic control of bursty traffic in atm networks. IEE Proc. Commun. 148(3), 181\u2013187 (2001)","journal-title":"IEE Proc. Commun."},{"key":"9705_CR21","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1007\/BF01189045","volume":"3","author":"J Cohen","year":"1988","unstructured":"Cohen, J.: Boundary value problems in queueing theory. Queueing Syst. 3, 97\u2013128 (1988)","journal-title":"Queueing Syst."},{"issue":"2","key":"9705_CR22","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1155\/S1048953398000112","volume":"11","author":"J Cohen","year":"1998","unstructured":"Cohen, J.: Analysis of the asymmetrical shortest two-server queueing model. J. Appl. Math. Stoch. Anal. 11(2), 115\u2013162 (1998)","journal-title":"J. Appl. Math. Stoch. Anal."},{"key":"9705_CR23","volume-title":"Boundary Value Problems in Queueing Systems Analysis","author":"J Cohen","year":"1983","unstructured":"Cohen, J., Boxma, O.: Boundary Value Problems in Queueing Systems Analysis. North Holland Publishing Company, Amsterdam, Netherlands (1983)"},{"issue":"3","key":"9705_CR24","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/BF01158902","volume":"2","author":"JW Cohen","year":"1987","unstructured":"Cohen, J.W.: A two-queue, one-server model with priority for the longer queue. Queueing Syst. Theory Appl. 2(3), 261\u2013283 (1987)","journal-title":"Queueing Syst. Theory Appl."},{"key":"9705_CR25","volume-title":"Analysis of random walks","author":"JW Cohen","year":"1992","unstructured":"Cohen, J.W.: Analysis of random walks. IOS Press, Amsterdam (1992)"},{"key":"9705_CR26","doi-asserted-by":"publisher","first-page":"207","DOI":"10.2307\/3214958","volume":"31(A)","author":"JW Cohen","year":"1994","unstructured":"Cohen, J.W.: On a class of two-dimensional nearest-neighbour random walks. J. Appl. Probab. 31(A), 207\u2013237 (1994)","journal-title":"J. Appl. Probab."},{"issue":"3\/4","key":"9705_CR27","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1023\/A:1019133525165","volume":"30","author":"JW Cohen","year":"1998","unstructured":"Cohen, J.W.: On the asymmetric clocked buffered switch. Queueing Syst. 30(3\/4), 385\u2013404 (1998)","journal-title":"Queueing Syst."},{"issue":"1","key":"9705_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1137\/110856605","volume":"4","author":"R Cont","year":"2013","unstructured":"Cont, R., de Larrard, A.: Price dynamics in a markovian limit order market. SIAM J. Financ. Math. 4(1), 1\u201325 (2013)","journal-title":"SIAM J. Financ. Math."},{"issue":"5","key":"9705_CR29","doi-asserted-by":"publisher","first-page":"3170","DOI":"10.1109\/TWC.2018.2808195","volume":"17","author":"I Dimitriou","year":"2018","unstructured":"Dimitriou, I., Pappas, N.: Stable throughput and delay analysis of a random access network with queue-aware transmission. IEEE Trans. Wirel. Commun. 17(5), 3170\u20133184 (2018)","journal-title":"IEEE Trans. Wirel. Commun."},{"issue":"6","key":"9705_CR30","doi-asserted-by":"publisher","first-page":"2416","DOI":"10.1109\/18.720543","volume":"44","author":"A Ephremides","year":"1998","unstructured":"Ephremides, A., Hajek, B.: Information theory and communication networks: an unconsummated union. IEEE Trans. Inf. Theory 44(6), 2416\u20132434 (1998)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"1","key":"9705_CR31","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/BF01149191","volume":"5","author":"G Fayolle","year":"1989","unstructured":"Fayolle, G.: On random walks arising in queueing systems: ergodicity and transience via quadratic forms as Lyapounov functions-Part I. Queueing Syst. 5(1), 167\u2013183 (1989)","journal-title":"Queueing Syst."},{"issue":"3","key":"9705_CR32","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/BF00535168","volume":"47","author":"G Fayolle","year":"1979","unstructured":"Fayolle, G., Iasnogorodski, R.: Two coupled processors: the reduction to a Riemann-Hilbert problem. Zeitschrift f\u00fcr Wahrscheinlichkeitstheorie und Verwandte Gebiete 47(3), 325\u2013351 (1979)","journal-title":"Zeitschrift f\u00fcr Wahrscheinlichkeitstheorie und Verwandte Gebiete"},{"key":"9705_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-50930-3","volume-title":"Random walks in the quarter-plane: Algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics","author":"G Fayolle","year":"2017","unstructured":"Fayolle, G., Iasnogorodski, R., Malyshev, V.: Random walks in the quarter-plane: Algebraic methods, boundary value problems, applications to queueing systems and analytic combinatorics. Springer, Berlin (2017)"},{"key":"9705_CR34","doi-asserted-by":"crossref","unstructured":"Fayolle, G., King, P.J.B., Mitrani, I.: The solution of certain two-dimensional Markov models. Adv. Appl. Probab. 14(2), 295\u2013308 (1982)","DOI":"10.2307\/1426522"},{"key":"9705_CR35","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511984020","volume-title":"Topics in the constructive theory of countable Markov chains","author":"G Fayolle","year":"1995","unstructured":"Fayolle, G., Malyshev, V.A., Menshikov, M.: Topics in the constructive theory of countable Markov chains. Cambridge University Press, Cambridge (1995)"},{"issue":"3\u20134","key":"9705_CR36","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1023\/A:1019185509235","volume":"30","author":"W Feng","year":"1998","unstructured":"Feng, W., Kowada, M., Adachi, K.: A two-queue model with Bernoulli service schedule and switching times. Queueing Syst. 30(3\u20134), 405\u2013434 (1998)","journal-title":"Queueing Syst."},{"issue":"2","key":"9705_CR37","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1002\/cpa.3160300206","volume":"30","author":"L Flatto","year":"1977","unstructured":"Flatto, L., McKean, H.P.: Two queues in parallel. Commun. Pure Appl. Math. 30(2), 255\u2013263 (1977)","journal-title":"Commun. Pure Appl. Math."},{"key":"9705_CR38","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-08-010067-8.50007-4","volume-title":"Boundary value problems","author":"F Gakhov","year":"1966","unstructured":"Gakhov, F.: Boundary value problems. Pergamon Press, Oxford (1966)"},{"issue":"1","key":"9705_CR39","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1287\/13-SSY104","volume":"4","author":"J Ghaderi","year":"2014","unstructured":"Ghaderi, J., Borst, S., Whiting, P.: Queue-based random-access algorithms: fluid limits and stability issues. Stoch. Syst. 4(1), 81\u2013156 (2014)","journal-title":"Stoch. Syst."},{"issue":"2","key":"9705_CR40","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1287\/moor.1070.0298","volume":"33","author":"HC Gromoll","year":"2008","unstructured":"Gromoll, H.C., Robert, P., Zwart, B.: Fluid limits for processor-sharing queues with impatience. Math. Oper. Res. 33(2), 375\u2013402 (2008)","journal-title":"Math. Oper. Res."},{"key":"9705_CR41","doi-asserted-by":"crossref","unstructured":"Guillemin, F., Elayoubi, S.E., Robert, P., Fricker, C., Sericola, B.: Controlling impatience in cellular networks using qoe-aware radio resource allocation. In: 2015 27th International Teletraffic Congress, pp. 159\u2013167 (2015)","DOI":"10.1109\/ITC.2015.26"},{"issue":"1","key":"9705_CR42","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11134-010-9197-7","volume":"67","author":"F Guillemin","year":"2011","unstructured":"Guillemin, F., van Leeuwaarden, J.S.H.: Rare event asymptotics for a random walk in the quarter plane. Queueing Syst. 67(1), 1\u201332 (2011)","journal-title":"Queueing Syst."},{"issue":"2","key":"9705_CR43","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1239\/aap\/1086957584","volume":"36","author":"F Guillemin","year":"2004","unstructured":"Guillemin, F., Robert, P., Zwart, B.: Tail asymptotics for processor-sharing queues. Adv. Appl. Probab. 36(2), 525\u2013543 (2004)","journal-title":"Adv. Appl. Probab."},{"issue":"4","key":"9705_CR44","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1007\/s11134-013-9383-5","volume":"77","author":"F Guillemin","year":"2014","unstructured":"Guillemin, F., Simonian, A.: Stationary analysis of the shortest queue first service policy. Queueing Syst. 77(4), 393\u2013426 (2014)","journal-title":"Queueing Syst."},{"key":"9705_CR45","doi-asserted-by":"crossref","unstructured":"Gupta, P., Stolyar, A.L.: Optimal throughput allocation in general random-access networks. In: 2006 40th Annual Conference on Information Sciences and Systems, pp. 1254\u20131259 (2006)","DOI":"10.1109\/CISS.2006.286657"},{"issue":"1","key":"9705_CR46","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1145\/2492101.1555385","volume":"37","author":"V Gupta","year":"2009","unstructured":"Gupta, V., Harchol-Balter, M.: Self-adaptive admission control policies for resource-sharing systems. SIGMETRICS Perform. Eval. Rev. 37(1), 311\u2013322 (2009)","journal-title":"SIGMETRICS Perform. Eval. Rev."},{"issue":"4","key":"9705_CR47","doi-asserted-by":"publisher","first-page":"1314","DOI":"10.1214\/aoms\/1177704869","volume":"32","author":"JFC Kingman","year":"1961","unstructured":"Kingman, J.F.C.: Two similar queues in parallel. Ann. Math. Stat. 32(4), 1314\u20131323 (1961)","journal-title":"Ann. Math. Stat."},{"issue":"2","key":"9705_CR48","doi-asserted-by":"publisher","first-page":"398","DOI":"10.1137\/S0036139901390842","volume":"63","author":"C Knessl","year":"2003","unstructured":"Knessl, C., Tier, C., Il Choi, D.: A dynamic priority queue model for simultaneous service of two traffic types. SIAM J. Appl. Math. 63(2), 398\u2013422 (2003)","journal-title":"SIAM J. Appl. Math."},{"issue":"1","key":"9705_CR49","doi-asserted-by":"publisher","first-page":"176","DOI":"10.2307\/3215185","volume":"34","author":"DS Lee","year":"1997","unstructured":"Lee, D.S.: Analysis of a two-queue model with Bernoulli schedules. J. Appl. Probab. 34(1), 176\u2013191 (1997)","journal-title":"J. Appl. Probab."},{"key":"9705_CR50","unstructured":"Lee, D.S.: Generalized longest queue first: an adaptive scheduling discipline for atm networks. In: Proceedings of the INFOCOM \u201997., p. 318. IEEE Computer Society, USA (1997)"},{"issue":"1","key":"9705_CR51","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1007\/s11134-009-9142-9","volume":"63","author":"H Li","year":"2009","unstructured":"Li, H., Zhao, Y.Q.: Exact tail asymptotics in a priority queue-characterizations of the preemptive model. Queueing Syst. 63(1), 355 (2009)","journal-title":"Queueing Syst."},{"issue":"2","key":"9705_CR52","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/s11134-011-9252-z","volume":"68","author":"H Li","year":"2011","unstructured":"Li, H., Zhao, Y.Q.: Exact tail asymptotics in a priority queue-characterizations of the non-preemptive model. Queueing Syst. 68(2), 165\u2013192 (2011)","journal-title":"Queueing Syst."},{"issue":"1","key":"9705_CR53","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/s11134-011-9227-0","volume":"69","author":"H Li","year":"2011","unstructured":"Li, H., Zhao, Y.Q.: Tail asymptotics for a generalized two-demand queueing model-a kernel method. Queueing Syst. 69(1), 77\u2013100 (2011)","journal-title":"Queueing Syst."},{"key":"9705_CR54","doi-asserted-by":"crossref","unstructured":"Luo, W., Ephremides, A.: Stability of N interacting queues in random-access systems. IEEE Trans. Inf. Theory 45(5), 1579\u20131587 (1999)","DOI":"10.1109\/18.771161"},{"key":"9705_CR55","first-page":"526","volume":"202","author":"VA Malyshev","year":"1972","unstructured":"Malyshev, V.A.: The classification of two-dimensional positive random walks and almost linear semi-martingales. Dokl. Akad. Nauk SSSR 202, 526\u2013528 (1972)","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"9705_CR56","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1007\/BF00971868","volume":"13","author":"VA Malyshev","year":"1973","unstructured":"Malyshev, V.A.: An analytical method in the theory of two-dimensional positive random walks. Sib. Math. J. 13, 917\u2013929 (1973)","journal-title":"Sib. Math. J."},{"key":"9705_CR57","unstructured":"Malyshev, V.A., Menshikov, M.V.: Ergodicity, continuity and analyticity of countable Markov chains. Trudy Moskov. Mat. Obshch. 39, 3\u201348, 235 (1979)"},{"key":"9705_CR58","volume-title":"Theory of Functions of a Complex Variable","author":"A Markushevich","year":"1965","unstructured":"Markushevich, A.: Theory of Functions of a Complex Variable, vol. I. Prentice-Hall, New York (1965)"},{"issue":"2","key":"9705_CR59","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/s11750-011-0179-7","volume":"19","author":"M Miyazawa","year":"2011","unstructured":"Miyazawa, M.: Light tail asymptotics in multidimensional reflecting processes for queueing networks. TOP 19(2), 233\u2013299 (2011)","journal-title":"TOP"},{"key":"9705_CR60","volume-title":"Conformal mapping","author":"Z Nehari","year":"1952","unstructured":"Nehari, Z.: Conformal mapping. McGraw-Hill, New York (1952)"},{"issue":"5","key":"9705_CR61","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1109\/MCOM.2014.6815890","volume":"52","author":"A Osseiran","year":"2014","unstructured":"Osseiran, A., Boccardi, F., Braun, V., Kusume, K., Marsch, P., Maternia, M., Queseth, O., Schellmann, M., Schotten, H., Taoka, H., Tullberg, H., Uusitalo, M.A., Timus, B., Fallgren, M.: Scenarios for 5g mobile and wireless communications: the vision of the metis project. IEEE Commun. Mag. 52(5), 26\u201335 (2014)","journal-title":"IEEE Commun. Mag."},{"issue":"2","key":"9705_CR62","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s11134-012-9323-9","volume":"74","author":"T Ozawa","year":"2013","unstructured":"Ozawa, T.: Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process. Queueing Syst. 74(2), 109\u2013149 (2013)","journal-title":"Queueing Syst."},{"issue":"7","key":"9705_CR63","doi-asserted-by":"publisher","first-page":"3544","DOI":"10.1109\/TWC.2015.2408319","volume":"14","author":"N Pappas","year":"2015","unstructured":"Pappas, N., Kountouris, M., Ephremides, A., Traganitis, A.: Relay-assisted multiple access with full-duplex multi-packet reception. IEEE Trans. Wirel. Commun. 14(7), 3544\u20133558 (2015)","journal-title":"IEEE Trans. Wirel. Commun."},{"issue":"5","key":"9705_CR64","doi-asserted-by":"publisher","first-page":"918","DOI":"10.1109\/18.21216","volume":"34","author":"R Rao","year":"1988","unstructured":"Rao, R., Ephremides, A.: On the stability of interacting queues in a multiple-access system. IEEE Trans. Inf. Theory 34(5), 918\u2013930 (1988)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"9705_CR65","doi-asserted-by":"publisher","first-page":"749","DOI":"10.4171\/JEMS\/317","volume":"14","author":"K Raschel","year":"2012","unstructured":"Raschel, K.: Counting walks in a quadrant: a unified approach via boundary value problems. J. Eur. Math. Soc. 14, 749\u2013777 (2012)","journal-title":"J. Eur. Math. Soc."},{"key":"9705_CR66","doi-asserted-by":"publisher","DOI":"10.1002\/9781119346913","volume-title":"From GSM to LTE-Advanced Pro and 5G: An Introduction to Mobile Networks and Mobile Broadband","author":"M Sauter","year":"2017","unstructured":"Sauter, M.: From GSM to LTE-Advanced Pro and 5G: An Introduction to Mobile Networks and Mobile Broadband. Wiley, Chichester, UK (2017)"},{"issue":"1","key":"9705_CR67","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s11134-019-09635-w","volume":"94","author":"S Shneer","year":"2020","unstructured":"Shneer, S., Stolyar, A.: Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks. Queueing Syst. 94(1), 109\u2013128 (2020)","journal-title":"Queueing Syst."},{"issue":"1","key":"9705_CR68","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11134-020-09652-0","volume":"95","author":"F Simatos","year":"2020","unstructured":"Simatos, F., Simonian, A.: Mobility can drastically improve the heavy traffic performance from $$1\/(1-\\rho )$$ to $$\\log (1\/(1-\\rho ))$$. Queueing Syst. 95(1), 1\u201328 (2020)","journal-title":"Queueing Syst."},{"issue":"2","key":"9705_CR69","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1017\/S0021900200004241","volume":"45","author":"AL Stolyar","year":"2008","unstructured":"Stolyar, A.L.: Dynamic distributed scheduling in random access networks. J. Appl. Probab. 45(2), 297\u2013313 (2008)","journal-title":"J. Appl. Probab."},{"key":"9705_CR70","volume-title":"Queueing Analysis?: Vacation and Priority Systems","author":"H Takagi","year":"1991","unstructured":"Takagi, H.: Queueing Analysis?: Vacation and Priority Systems, vol. 1. North-Holland, Amsterdam (1991)"},{"issue":"3","key":"9705_CR71","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1145\/3199524.3199548","volume":"45","author":"M Telek","year":"2018","unstructured":"Telek, M., Van Houdt, B.: Response time distribution of a class of limited processor sharing queues. SIGMETRICS Perform. Eval. Rev. 45(3), 143\u2013155 (2018)","journal-title":"SIGMETRICS Perform. Eval. Rev."},{"issue":"6","key":"9705_CR72","doi-asserted-by":"publisher","first-page":"1277","DOI":"10.1109\/TIT.2002.1003822","volume":"48","author":"P Viswanath","year":"2006","unstructured":"Viswanath, P., Tse, D.N., Laroia, R.: Opportunistic beamforming using dumb antennas. IEEE Trans. Inf. Theory 48(6), 1277\u20131294 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"9705_CR73","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/s11134-010-9188-8","volume":"66","author":"J Walraevens","year":"2010","unstructured":"Walraevens, J., Leeuwaarden, J.S., Boxma, O.J.: Power series approximations for two-class generalized processor sharing systems. Queueing Syst. 66(2), 107\u2013130 (2010)","journal-title":"Queueing Syst."},{"issue":"1","key":"9705_CR74","first-page":"267","volume":"1","author":"S Zachary","year":"1995","unstructured":"Zachary, S.: On two-dimensional Markov chains in the positive quadrant with partial spatial homogeneity. Markov Process. Relat. Fields 1(1), 267\u2013280 (1995)","journal-title":"Markov Process. Relat. Fields"},{"issue":"2","key":"9705_CR75","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1214\/10-AAP709","volume":"21","author":"J Zhang","year":"2011","unstructured":"Zhang, J., Dai, J.G., Zwart, B.: Diffusion limits of limited processor sharing queues. Ann. Appl. Probab. 21(2), 745\u2013799 (2011)","journal-title":"Ann. Appl. Probab."},{"issue":"3\u20134","key":"9705_CR76","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/s11134-008-9095-4","volume":"60","author":"J Zhang","year":"2008","unstructured":"Zhang, J., Zwart, B.: Steady state approximations of limited processor sharing queues in heavy traffic. Queueing Syst. 60(3\u20134), 227\u2013246 (2008)","journal-title":"Queueing Syst."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-021-09705-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11134-021-09705-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-021-09705-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,29]],"date-time":"2024-08-29T15:06:18Z","timestamp":1724943978000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11134-021-09705-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,27]]},"references-count":76,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["9705"],"URL":"https:\/\/doi.org\/10.1007\/s11134-021-09705-y","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"type":"print","value":"0257-0130"},{"type":"electronic","value":"1572-9443"}],"subject":[],"published":{"date-parts":[[2021,4,27]]},"assertion":[{"value":"9 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 March 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 March 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 April 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}