{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T07:16:27Z","timestamp":1758266187375,"version":"3.37.3"},"reference-count":61,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T00:00:00Z","timestamp":1618876800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T00:00:00Z","timestamp":1618876800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000086","name":"Samy","doi-asserted-by":"publisher","award":["DMS-1613163"],"award-info":[{"award-number":["DMS-1613163"]}],"id":[{"id":"10.13039\/100000086","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000084","name":"Harsha","doi-asserted-by":"publisher","award":["CMMI-1636069"],"award-info":[{"award-number":["CMMI-1636069"]}],"id":[{"id":"10.13039\/100000084","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2021,6]]},"DOI":"10.1007\/s11134-021-09704-z","type":"journal-article","created":{"date-parts":[[2021,4,20]],"date-time":"2021-04-20T14:11:26Z","timestamp":1618927886000},"page":"145-179","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Infinite server queues in a random fast oscillatory environment"],"prefix":"10.1007","volume":"98","author":[{"given":"Yiran","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0834-054X","authenticated-orcid":false,"given":"Harsha","family":"Honnappa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samy","family":"Tindel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nung Kwan","family":"Yip","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,4,20]]},"reference":[{"key":"9704_CR1","unstructured":"Whitt, W.: Time-varying queues. Queueing models and service management 1(2), (2018)"},{"key":"9704_CR2","doi-asserted-by":"crossref","unstructured":"O\u2019Cinneide, C.A., Purdue, P.: The $$M\/M\/\\infty $$ queue in a random environment. J. Appl. Probab. 23(1), 175\u2013184 (1986)","DOI":"10.2307\/3214126"},{"issue":"1","key":"9704_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1287\/16-SSY214","volume":"7","author":"M Heemskerk","year":"2017","unstructured":"Heemskerk, M., van Leeuwaarden, J., Mandjes, M.: Scaling limits for infinite-server systems in a random environment. Stochast. Syst. 7(1), 1\u201331 (2017)","journal-title":"Stochast. Syst."},{"issue":"6","key":"9704_CR4","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1016\/j.orl.2019.09.003","volume":"47","author":"M Heemskerk","year":"2019","unstructured":"Heemskerk, M., Mandjes, M.: Exact asymptotics in an infinite-server system with overdispersed input. Oper. Res. Lett. 47(6), 513\u2013520 (2019)","journal-title":"Oper. Res. Lett."},{"issue":"4","key":"9704_CR5","doi-asserted-by":"publisher","first-page":"688","DOI":"10.1287\/ijoc.2017.0760","volume":"29","author":"J Pender","year":"2017","unstructured":"Pender, J., Ko, Y.M.: Approximations for the queue length distributions of time-varying many-server queues. INFORMS J. Comput. 29(4), 688\u2013704 (2017)","journal-title":"INFORMS J. Comput."},{"issue":"3\u20134","key":"9704_CR6","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/s11134-019-09613-2","volume":"92","author":"O Boxma","year":"2019","unstructured":"Boxma, O., Kella, O., Mandjes, M.: Infinite-server systems with Coxian arrivals. Queueing Syst. 92(3\u20134), 233\u2013255 (2019)","journal-title":"Queueing Syst."},{"key":"9704_CR7","doi-asserted-by":"publisher","first-page":"102039","DOI":"10.1016\/j.peva.2019.102039","volume":"135","author":"HM Jansen","year":"2019","unstructured":"Jansen, H.M., Mandjes, M., De\u00a0Turck, K., Wittevrongel, S.: Diffusion limits for networks of Markov-modulated infinite-server queues. Perform. Evaluat. 135, 102039 (2019)","journal-title":"Perform. Evaluat."},{"key":"9704_CR8","doi-asserted-by":"crossref","unstructured":"Dean, J., Ganesh, A., Crane, E.: Functional large deviations for Cox processes and Cox$$\/G\/\\infty $$ queues, with a biological application. Ann. Appl. Probab. 30(5), 2465\u20132490 (2020)","DOI":"10.1214\/20-AAP1563"},{"issue":"1","key":"9704_CR9","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1007\/s11009-014-9405-8","volume":"18","author":"D Anderson","year":"2016","unstructured":"Anderson, D., Blom, J., Mandjes, M., Thorsdottir, H., De Turck, K.: A functional central limit theorem for a Markov-modulated infinite-server queue. Methodol. Comput. Appl. Probab. 18(1), 153\u2013168 (2016)","journal-title":"Methodol. Comput. Appl. Probab."},{"issue":"3","key":"9704_CR10","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1016\/j.orl.2013.01.009","volume":"41","author":"J Blom","year":"2013","unstructured":"Blom, J., Mandjes, M.: A large-deviations analysis of Markov-modulated infinite-server queues. Oper. Res. Lett. 41(3), 220\u2013225 (2013)","journal-title":"Oper. Res. Lett."},{"issue":"1","key":"9704_CR11","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1080\/15326349.2013.750536","volume":"29","author":"J Blom","year":"2013","unstructured":"Blom, J., Mandjes, M., Thorsdottir, H.: Time-scaling limits for Markov-modulated infinite-server queues. Stochastic Models 29(1), 112\u2013127 (2013)","journal-title":"Stochastic Models"},{"issue":"4","key":"9704_CR12","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1007\/s11134-013-9368-4","volume":"76","author":"J Blom","year":"2014","unstructured":"Blom, J., Kella, O., Mandjes, M., Thorsdottir, H.: Markov-modulated infinite-server queues with general service times. Queueing Syst. 76(4), 403\u2013424 (2014)","journal-title":"Queueing Syst."},{"issue":"3","key":"9704_CR13","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1007\/s00186-016-0531-7","volume":"83","author":"J Blom","year":"2016","unstructured":"Blom, J., De Turck, K., Mandjes, M.: Functional central limit theorems for Markov-modulated infinite-server systems. Math. Methods Oper. Res. 83(3), 351\u2013372 (2016)","journal-title":"Math. Methods Oper. Res."},{"issue":"1","key":"9704_CR14","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/s11134-008-9100-y","volume":"61","author":"BH Fralix","year":"2009","unstructured":"Fralix, B.H., Adan, I.J.B.F.: An infinite-server queue influenced by a semi-Markovian environment. Queueing Syst. 61(1), 65\u201384 (2009)","journal-title":"Queueing Syst."},{"issue":"3","key":"9704_CR15","doi-asserted-by":"publisher","first-page":"452","DOI":"10.1080\/15326349.2012.699759","volume":"28","author":"T Hellings","year":"2012","unstructured":"Hellings, T., Mandjes, M., Blom, J.: Semi-Markov-modulated infinite-server queues: approximations by time-scaling. Stochastic Models 28(3), 452\u2013477 (2012)","journal-title":"Stochastic Models"},{"issue":"2","key":"9704_CR16","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1080\/15326349.2015.1100085","volume":"32","author":"M Mandjes","year":"2016","unstructured":"Mandjes, M., De Turck, K.: Markov-modulated infinite-server queues driven by a common background process. Stochastic Models 32(2), 206\u2013232 (2016)","journal-title":"Stochastic Models"},{"key":"9704_CR17","doi-asserted-by":"crossref","unstructured":"Arous, G.B., Molchanov, S., Ram\u00edrez, A.F.: Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. Ann. Probab. 33(6), 2149\u20132187 (2005)","DOI":"10.1214\/009117905000000404"},{"issue":"4","key":"9704_CR18","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1007\/s00440-004-0406-3","volume":"132","author":"GB Arous","year":"2005","unstructured":"Arous, G.B., Bogachev, L.V., Molchanov, S.A.: Limit theorems for sums of random exponentials. Probab. Theory Relat. Fields 132(4), 579\u2013612 (2005)","journal-title":"Probab. Theory Relat. Fields"},{"issue":"2","key":"9704_CR19","doi-asserted-by":"publisher","first-page":"862","DOI":"10.1214\/aop\/1008956695","volume":"29","author":"M Schlather","year":"2001","unstructured":"Schlather, M.: Limit distributions of norms of vectors of positive IID random variables. Ann. Probab. 29(2), 862\u2013881 (2001)","journal-title":"Ann. Probab."},{"key":"9704_CR20","doi-asserted-by":"crossref","unstructured":"Kontoyiannis, I., Meyn, S.P.: Spectral theory and limit theorems for geometrically ergodic Markov processes. Ann. Appl. Probab. 13(1), 304\u2013362 (2003)","DOI":"10.1214\/aoap\/1042765670"},{"issue":"4","key":"9704_CR21","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1287\/opre.41.4.731","volume":"41","author":"SG Eick","year":"1993","unstructured":"Eick, S.G., Massey, W.A., Whitt, W.: The physics of the $$M_t\/G\/\\infty $$ queue. Oper. Res. 41(4), 731\u2013742 (1993)","journal-title":"Oper. Res."},{"issue":"2","key":"9704_CR22","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1287\/mnsc.39.2.241","volume":"39","author":"SG Eick","year":"1993","unstructured":"Eick, S.G., Massey, W.A., Whitt, W.: $$M_t\/G\/\\infty $$ queues with sinusoidal arrival rates. Manage. Sci. 39(2), 241\u2013252 (1993)","journal-title":"Manage. Sci."},{"issue":"1\u20133","key":"9704_CR23","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/BF01158933","volume":"13","author":"WA Massey","year":"1993","unstructured":"Massey, W.A., Whitt, W.: Networks of infinite-server queues with nonstationary poisson input. Queueing Syst. 13(1\u20133), 183\u2013250 (1993)","journal-title":"Queueing Syst."},{"key":"9704_CR24","unstructured":"Zheng, Z., Honnappa, H., Glynn, P.W.: Approximating systems fed by Poisson processes with rapidly changing arrival rates. arXiv preprint, arXiv:1807.06805 (2018)"},{"key":"9704_CR25","doi-asserted-by":"publisher","first-page":"753","DOI":"10.1214\/aoap\/1019487509","volume":"10","author":"S Resnick","year":"2000","unstructured":"Resnick, S., Rootz\u00e9n, H.: Self-similar communication models and very heavy tails. Ann. Appl. Probab. 10, 753\u2013778 (2000)","journal-title":"Ann. Appl. Probab."},{"issue":"48","key":"9704_CR26","doi-asserted-by":"publisher","first-page":"19545","DOI":"10.1073\/pnas.1206867109","volume":"109","author":"G Fibich","year":"2012","unstructured":"Fibich, G., Gavious, A., Solan, E.: Averaging principle for second-order approximation of heterogeneous models with homogeneous models. Proc. Nat. Acad. Sci. 109(48), 19545\u201319550 (2012)","journal-title":"Proc. Nat. Acad. Sci."},{"issue":"6","key":"9704_CR27","doi-asserted-by":"publisher","first-page":"1534","DOI":"10.1137\/S0036141002403973","volume":"35","author":"RZ Khasminskii","year":"2004","unstructured":"Khasminskii, R.Z., Yin, G.: On averaging principles: an asymptotic expansion approach. SIAM J. Math. Anal. 35(6), 1534\u20131560 (2004)","journal-title":"SIAM J. Math. Anal."},{"issue":"3","key":"9704_CR28","first-page":"260","volume":"4","author":"RZ Khasminskii","year":"1968","unstructured":"Khasminskii, R.Z.: On the principle of averaging the Ito\u2019s stochastic differential equations. Kybernetika 4(3), 260\u2013279 (1968)","journal-title":"Kybernetika"},{"key":"9704_CR29","doi-asserted-by":"crossref","unstructured":"Kurtz, T.G.: Averaging for martingale problems and stochastic approximation. In: Applied Stochastic Analysis, pp. 186\u2013209. Springer (1992)","DOI":"10.1007\/BFb0007058"},{"issue":"1","key":"9704_CR30","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1023\/A:1010010626460","volume":"6","author":"J-P Fouque","year":"1999","unstructured":"Fouque, J.-P., Papanicolaou, G., Sircar, K.R.: Financial modeling in a fast mean-reverting stochastic volatility environment. Asia-Pacific Finance Markets 6(1), 37\u201348 (1999)","journal-title":"Asia-Pacific Finance Markets"},{"issue":"2","key":"9704_CR31","doi-asserted-by":"publisher","first-page":"564","DOI":"10.1137\/17M1134068","volume":"9","author":"J-P Fouque","year":"2018","unstructured":"Fouque, J.-P., Ruimeng, H.: Optimal portfolio under fast mean-reverting fractional stochastic environment. SIAM J. Financ. Math. 9(2), 564\u2013601 (2018)","journal-title":"SIAM J. Financ. Math."},{"key":"9704_CR32","unstructured":"Blanchet, J., Chen, X.: Continuous-time modeling of bid-ask spread and price dynamics in limit order books. arXiv preprint, arXiv:1310.1103 (2013)"},{"key":"9704_CR33","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1214\/aoap\/1177004701","volume":"5","author":"EG Coffman Jr","year":"1995","unstructured":"Coffman Jr., E.G., Puhalskii, A.A., Reiman, M.I.: Polling systems with zero switchover times: a heavy-traffic averaging principle. Ann. Appl. Probab. 5, 681\u2013719 (1995)","journal-title":"Ann. Appl. Probab."},{"issue":"2","key":"9704_CR34","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1016\/0304-4149(94)90071-X","volume":"53","author":"PJ Hunt","year":"1994","unstructured":"Hunt, P.J., Kurtz, T.G.: Large loss networks. Stochastic Processes Appl. 53(2), 363\u2013378 (1994)","journal-title":"Stochastic Processes Appl."},{"issue":"1","key":"9704_CR35","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1287\/10-SSY009","volume":"1","author":"O Perry","year":"2011","unstructured":"Perry, O., Whitt, W.: An ODE for an overloaded X model involving a stochastic averaging principle. Stochastic Syst. 1(1), 59\u2013108 (2011)","journal-title":"Stochastic Syst."},{"issue":"1\u20132","key":"9704_CR36","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1023\/A:1019112920622","volume":"30","author":"A Mandelbaum","year":"1998","unstructured":"Mandelbaum, A., Massey, W.A., Reiman, M.I.: Strong approximations for Markovian service networks. Queueing Syst. 30(1\u20132), 149\u2013201 (1998)","journal-title":"Queueing Syst."},{"issue":"1\u20132","key":"9704_CR37","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1007\/s11134-014-9428-4","volume":"80","author":"H Honnappa","year":"2015","unstructured":"Honnappa, H., Jain, R., Ward, A.R.: A queueing model with independent arrivals, and its fluid and diffusion limits. Queueing Syst. 80(1\u20132), 71\u2013103 (2015)","journal-title":"Queueing Syst."},{"issue":"1","key":"9704_CR38","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1287\/moor.20.1.33","volume":"20","author":"A Mandelbaum","year":"1995","unstructured":"Mandelbaum, A., Massey, W.A.: Strong approximations for time-dependent queues. Math. Oper. Res. 20(1), 33\u201364 (1995)","journal-title":"Math. Oper. Res."},{"key":"9704_CR39","unstructured":"Spreij, P., Storm, J.: Diffusion limits for a Markov modulated counting process. arXiv preprint arXiv:1801.03682 (2018)"},{"issue":"1","key":"9704_CR40","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1214\/13-AAP927","volume":"24","author":"Y Liu","year":"2014","unstructured":"Liu, Y., Whitt, W., et al.: Many-server heavy-traffic limit for queues with time-varying parameters. Ann. Appl. Probab. 24(1), 378\u2013421 (2014)","journal-title":"Ann. Appl. Probab."},{"issue":"5","key":"9704_CR41","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1016\/j.orl.2012.05.010","volume":"40","author":"Y Liu","year":"2012","unstructured":"Liu, Y., Whitt, W.: A many-server fluid limit for the $$G_t\/GI\/s_t+ GI$$ queueing model experiencing periods of overloading. Oper. Res. Lett. 40(5), 307\u2013312 (2012)","journal-title":"Oper. Res. Lett."},{"key":"9704_CR42","doi-asserted-by":"crossref","unstructured":"Chakraborty, P., Honnappa, H.: A many-server functional strong law for a non-stationary loss model. Oper. Res. Lett. 49(3), 338-344 (2021)","DOI":"10.1016\/j.orl.2021.03.004"},{"key":"9704_CR43","unstructured":"Zheng, Z., Honnappa, H., Glynn, P.W.: Approximating performance measures for slowly changing non-stationary Markov chains. arXiv preprint, arXiv:1805.01662 (2018)"},{"key":"9704_CR44","first-page":"1130","volume":"5","author":"WA Massey","year":"1998","unstructured":"Massey, W.A., Whitt, W.: Uniform acceleration expansions for markov chains with time-varying rates. Ann. Appl. Probab. 5, 1130\u20131155 (1998)","journal-title":"Ann. Appl. Probab."},{"issue":"1","key":"9704_CR45","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1017\/S0269964814000205","volume":"29","author":"J Pender","year":"2015","unstructured":"Pender, J.: Nonstationary loss queues via cumulant moment approximations. Probab. Eng. Inf. Sci. 29(1), 27\u201349 (2015)","journal-title":"Probab. Eng. Inf. Sci."},{"issue":"1","key":"9704_CR46","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1137\/S0036139993259933","volume":"56","author":"RZ Khashinskii","year":"1996","unstructured":"Khashinskii, R.Z., Yin, G., Zhang, Q.: Asymptotic expansions of singularly perturbed systems involving rapidly fluctuating Markov chains. SIAM J. Appl. Math. 56(1), 277\u2013293 (1996)","journal-title":"SIAM J. Appl. Math."},{"issue":"1","key":"9704_CR47","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1090\/qam\/1433761","volume":"55","author":"RZ Khasminskii","year":"1997","unstructured":"Khasminskii, R.Z., Yin, G., Zhang, Q.: Constructing asymptotic series for probability distributions of Markov chains with weak and strong interactions. Q. Appl. Math. 55(1), 177\u2013200 (1997)","journal-title":"Q. Appl. Math."},{"issue":"3","key":"9704_CR48","doi-asserted-by":"publisher","first-page":"464","DOI":"10.1287\/msom.2014.0490","volume":"16","author":"S-H Kim","year":"2014","unstructured":"Kim, S.-H., Whitt, W.: Are call center and hospital arrivals well modeled by nonhomogeneous Poisson processes? Manuf. Service Oper. Manag. 16(3), 464\u2013480 (2014)","journal-title":"Manuf. Service Oper. Manag."},{"issue":"1","key":"9704_CR49","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1080\/15326349708807417","volume":"13","author":"GL Choudhury","year":"1997","unstructured":"Choudhury, G.L., Mandelbaum, A., Reiman, M.I., Whitt, W.: Fluid and diffusion limits for queues in slowly changing environments. Stochastic Models 13(1), 121\u2013146 (1997)","journal-title":"Stochastic Models"},{"key":"9704_CR50","doi-asserted-by":"crossref","unstructured":"Koops, D.T., Boxma, O.J., Mandjes, M.R.H.: Networks of $$\\cdot \/G\/\\infty $$ queues with shot-noise-driven arrival intensities. Queueing Syst. 86(3), 301\u2013325 (2017)","DOI":"10.1007\/s11134-017-9520-7"},{"key":"9704_CR51","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1016\/j.peva.2014.01.001","volume":"75","author":"KEES De Turck","year":"2014","unstructured":"De Turck, K.E.E.S., Mandjes, M.R.H.: Large deviations of an infinite-server system with a linearly scaled background process. Perform. Evaluat. 75, 36\u201349 (2014)","journal-title":"Perform. Evaluat."},{"issue":"1\u20132","key":"9704_CR52","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1007\/s11134-015-9470-x","volume":"82","author":"HM Jansen","year":"2016","unstructured":"Jansen, H.M., Mandjes, M.R.H., De\u00a0Turck, K., Wittevrongel, S.: A large deviations principle for infinite-server queues in a random environment. Queueing Syst. 82(1\u20132), 199\u2013235 (2016)","journal-title":"Queueing Syst."},{"key":"9704_CR53","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-29880-6","volume-title":"Fluctuations in Markov Processes: Time Symmetry and Martingale Approximation","author":"T Komorowski","year":"2012","unstructured":"Komorowski, T., Landim, C., Olla, S.: Fluctuations in Markov Processes: Time Symmetry and Martingale Approximation. Springer, Berlin (2012)"},{"issue":"2","key":"9704_CR54","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1023\/A:1021630228280","volume":"12","author":"X Chen","year":"1999","unstructured":"Chen, X.: The law of the iterated logarithm for functionals of Harris recurrent Markov chains: self normalization. J. Theor. Probab. 12(2), 421\u2013445 (1999)","journal-title":"J. Theor. Probab."},{"key":"9704_CR55","doi-asserted-by":"publisher","first-page":"2312","DOI":"10.1016\/j.spa.2008.11.006","volume":"119","author":"E L\u00f6cherbach","year":"2009","unstructured":"L\u00f6cherbach, E., Loukianova, D.: The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes. Stochastic Processes Appl. 119, 2312\u20132335 (2009)","journal-title":"Stochastic Processes Appl."},{"issue":"1","key":"9704_CR56","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3150\/10-BEJ324","volume":"18","author":"B Saussereau","year":"2012","unstructured":"Saussereau, B.: Transportation inequalities for stochastic differential equations driven by a fractional Brownian motion. Bernoulli 18(1), 1\u201323 (2012)","journal-title":"Bernoulli"},{"issue":"2","key":"9704_CR57","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1007\/s00245-008-9062-9","volume":"60","author":"MJ Garrido-Atienza","year":"2009","unstructured":"Garrido-Atienza, M.J., Kloeden, P.E., Neuenkirch, A.: Discretization of stationary solutions of stochastic systems driven by fractional Brownian motion. Appl. Math. Optim. 60(2), 151\u2013172 (2009)","journal-title":"Appl. Math. Optim."},{"issue":"1","key":"9704_CR58","doi-asserted-by":"publisher","first-page":"66","DOI":"10.2307\/1427239","volume":"18","author":"SI Resnick","year":"1986","unstructured":"Resnick, S.I.: Point processes, regular variation and weak convergence. Adv. Appl. Probab. 18(1), 66\u2013138 (1986)","journal-title":"Adv. Appl. Probab."},{"key":"9704_CR59","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-87859-1","volume-title":"Probability and Stochastics","author":"E \u00c7inlar","year":"2011","unstructured":"\u00c7inlar, E.: Probability and Stochastics. Springer, Berlin (2011)"},{"issue":"4","key":"9704_CR60","doi-asserted-by":"publisher","first-page":"609","DOI":"10.1137\/S0040585X97984486","volume":"54","author":"D Ferger","year":"2010","unstructured":"Ferger, D., Vogel, D.: Weak convergence of the empirical process and the rescaled empirical distribution function in the Skorokhod product space. Theory Probab. Appl. 54(4), 609\u2013625 (2010)","journal-title":"Theory Probab. Appl."},{"key":"9704_CR61","volume-title":"Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization","author":"H Chen","year":"2013","unstructured":"Chen, H., Yao, D.D.: Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization, vol. 46. Springer, Berlin (2013)"}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-021-09704-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11134-021-09704-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-021-09704-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,1]],"date-time":"2023-02-01T00:25:46Z","timestamp":1675211146000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11134-021-09704-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,20]]},"references-count":61,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["9704"],"URL":"https:\/\/doi.org\/10.1007\/s11134-021-09704-z","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"type":"print","value":"0257-0130"},{"type":"electronic","value":"1572-9443"}],"subject":[],"published":{"date-parts":[[2021,4,20]]},"assertion":[{"value":"9 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 March 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 March 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 April 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}