{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,6]],"date-time":"2026-08-06T10:25:30Z","timestamp":1786011930893,"version":"3.56.0"},"reference-count":131,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2021,2,1]],"date-time":"2021-02-01T00:00:00Z","timestamp":1612137600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,2,1]],"date-time":"2021-02-01T00:00:00Z","timestamp":1612137600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s11134-021-09688-w","type":"journal-article","created":{"date-parts":[[2021,2,19]],"date-time":"2021-02-19T03:43:35Z","timestamp":1613706215000},"page":"39-80","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["A survey of parameter and state estimation in queues"],"prefix":"10.1007","volume":"97","author":[{"given":"Azam","family":"Asanjarani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yoni","family":"Nazarathy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter","family":"Taylor","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,2,17]]},"reference":[{"key":"9688_CR1","doi-asserted-by":"crossref","unstructured":"Alouf, S., Nain, P., Towsley, D.: Inferring network characteristics via moment-based estimators. In: INFOCOM 2001. Twentieth Annual Joint Conference of the IEEE Computer and Communications Societies. Proceedings. IEEE, vol.\u00a02, pp. 1045\u20131054. IEEE (2001)","DOI":"10.1109\/INFCOM.2001.916298"},{"issue":"3","key":"9688_CR2","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1145\/2567529.2567540","volume":"41","author":"N Antunes","year":"2014","unstructured":"Antunes, N., Jacinto, G., Pacheco, A.: Probing a M\/G\/1 queue with general input and service times. ACM SIGMETRICS Perform Eval Rev 41(3), 34\u201336 (2014)","journal-title":"ACM SIGMETRICS Perform Eval Rev"},{"issue":"2","key":"9688_CR3","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1145\/3003977.3003979","volume":"44","author":"N Antunes","year":"2016","unstructured":"Antunes, N., Jacinto, G., Pacheco, A., Wichelhaus, C.: Estimation of the traffic intensity in a piecewise-stationary M$$_t$$\/G$$_t$$\/1 queue with probing. ACM SIGMETRICS Perform Eval Rev 44(2), 3\u20135 (2016)","journal-title":"ACM SIGMETRICS Perform Eval Rev"},{"key":"9688_CR4","first-page":"613","volume":"2","author":"C Armero","year":"1985","unstructured":"Armero, C.: Bayesian analysis of M\/M\/1\/$$\\infty $$\/FIFO queues. Bayesian Stat. 2, 613\u2013618 (1985)","journal-title":"Bayesian Stat."},{"issue":"1","key":"9688_CR5","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1007\/BF01189249","volume":"15","author":"C Armero","year":"1994","unstructured":"Armero, C.: Bayesian inference in Markovian queues. Queueing Syst. 15(1), 419\u2013426 (1994)","journal-title":"Queueing Syst."},{"issue":"1","key":"9688_CR6","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/BF01189248","volume":"15","author":"C Armero","year":"1994","unstructured":"Armero, C., Bayarri, M.J.: Bayesian prediction in M\/M\/1 queues. Queueing Syst. 15(1), 401\u2013417 (1994)","journal-title":"Queueing Syst."},{"issue":"1","key":"9688_CR7","first-page":"139","volume":"43","author":"C Armero","year":"1994","unstructured":"Armero, C., Bayarri, M.J.: Prior assessments for prediction in queues. Stat. 43(1), 139\u2013153 (1994)","journal-title":"Stat."},{"issue":"10","key":"9688_CR8","doi-asserted-by":"publisher","first-page":"1505","DOI":"10.1287\/mnsc.1050.0371","volume":"51","author":"M Armony","year":"2005","unstructured":"Armony, M., Plambeck, E.L.: The impact of duplicate orders on demand estimation and capacity investment. Manag. Sci. 51(10), 1505\u20131518 (2005)","journal-title":"Manag. Sci."},{"key":"9688_CR9","unstructured":"Asanjarani, A., Nazarathy, Y.: Parameter and State Estimation in Queues and Related Stochastic Models: A Bibliography. arXiv:1701.08338 (2020)"},{"key":"9688_CR10","doi-asserted-by":"publisher","first-page":"949","DOI":"10.1007\/s11009-019-09750-4","volume":"22","author":"A Asanjarani","year":"2020","unstructured":"Asanjarani, A., Nazarathy, Y.: The role of information in system stability with partially observable servers. Methodol. Comput. Appl. Probab. 22, 949\u2013968 (2020)","journal-title":"Methodol. Comput. Appl. Probab."},{"key":"9688_CR11","unstructured":"Asanjarani, A., Nazarathy, Y., Taylor, G.P.: Queueing Estimation Survey. https:\/\/github.com\/yoninazarathy\/QueueingEstimationSurvey (2020)"},{"key":"9688_CR12","volume-title":"Applied Probability and Queues (Stochastic Modeling and Applied Probability Series)","author":"S Asmussen","year":"2010","unstructured":"Asmussen, S.: Applied Probability and Queues (Stochastic Modeling and Applied Probability Series), vol. 51. Springer, Berlin (2010)"},{"issue":"4","key":"9688_CR13","first-page":"419","volume":"23","author":"S Asmussen","year":"1996","unstructured":"Asmussen, S., Nerman, O., Olsson, M.: Fitting phase-type distributions via the EM algorithm. Scand. J. Stat. 23(4), 419\u2013441 (1996)","journal-title":"Scand. J. Stat."},{"issue":"1","key":"9688_CR14","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1093\/imaman\/dpn007","volume":"20","author":"L Au","year":"2009","unstructured":"Au, L., Byrnes, G.B., Bain, C.A., Fackrell, M., Brand, C., Campbell, D.A., Taylor, P.G.: Predicting overflow in an emergency department. IMA J. Manag. Math. 20(1), 39\u201349 (2009)","journal-title":"IMA J. Manag. Math."},{"issue":"1\u20132","key":"9688_CR15","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/S0378-3758(02)00398-1","volume":"118","author":"MC Aus\u00edn","year":"2004","unstructured":"Aus\u00edn, M.C., Wiper, M.P., Lillo, R.E.: Bayesian estimation for the M\/G\/1 queue using a phase-type approximation. J. Stat. Plan. Inference 118(1\u20132), 83\u2013101 (2004)","journal-title":"J. Stat. Plan. Inference"},{"issue":"1","key":"9688_CR16","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1007\/s11134-009-9150-9","volume":"63","author":"F Baccelli","year":"2009","unstructured":"Baccelli, F., Kauffmann, B., Veitch, D.: Inverse problems in queueing theory and internet probing. Queueing Syst. 63(1), 59\u2013107 (2009)","journal-title":"Queueing Syst."},{"issue":"3","key":"9688_CR17","doi-asserted-by":"publisher","first-page":"676","DOI":"10.1287\/opre.2015.1367","volume":"63","author":"C Bandi","year":"2015","unstructured":"Bandi, C., Bertsimas, D., Youssef, N.: Robust queueing theory. Oper. Res. 63(3), 676\u2013700 (2015)","journal-title":"Oper. Res."},{"issue":"1","key":"9688_CR18","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/BF01149084","volume":"24","author":"IV Basawa","year":"1996","unstructured":"Basawa, I.V., Bhat, U.N., Lund, R.: Maximum likelihood estimation for single server queues from waiting time data. Queueing Syst. 24(1), 155\u2013167 (1996)","journal-title":"Queueing Syst."},{"issue":"12","key":"9688_CR19","doi-asserted-by":"publisher","first-page":"1375","DOI":"10.1016\/j.spl.2007.12.021","volume":"78","author":"IV Basawa","year":"2008","unstructured":"Basawa, I.V., Bhat, U.N., Zhou, J.: Parameter estimation using partial information with applications to queueing and related models. Stat. Prob. Lett. 78(12), 1375\u20131383 (2008)","journal-title":"Stat. Prob. Lett."},{"issue":"4","key":"9688_CR20","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1007\/BF01157852","volume":"3","author":"IV Basawa","year":"1988","unstructured":"Basawa, I.V., Prabhu, N.U.: Large sample inference from single server queues. Queueing Syst. 3(4), 289\u2013304 (1988)","journal-title":"Queueing Syst."},{"key":"9688_CR21","doi-asserted-by":"publisher","first-page":"S217","DOI":"10.1287\/opre.40.3.S217","volume":"40","author":"DJ Bertsimas","year":"1992","unstructured":"Bertsimas, D.J., Servi, L.D.: Deducing queueing from transactional data: the queue inference engine, revisited. Oper. Res. 40, S217\u2013S228 (1992)","journal-title":"Oper. Res."},{"key":"9688_CR22","unstructured":"Bhat, U.N., Miller, G.K., Rao, S.S.: Statistical analysis of queueing systems. In: Dshalalow, J.H. (ed) Chapter in: Frontiers in Queueing, pp. 351\u2013394 (1997)"},{"issue":"3","key":"9688_CR23","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/BF01149536","volume":"1","author":"UN Bhat","year":"1987","unstructured":"Bhat, U.N., Rao, S.S.: Statistical analysis of queueing systems. Queueing Syst. 1(3), 217\u2013247 (1987)","journal-title":"Queueing Syst."},{"issue":"1","key":"9688_CR24","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1023\/A:1003831118254","volume":"51","author":"NH Bingham","year":"1999","unstructured":"Bingham, N.H., Pitts, S.M.: Non-parametric estimation for the M\/G\/$$\\infty $$ queue. Ann. Inst. Stat. Math. 51(1), 71\u201397 (1999)","journal-title":"Ann. Inst. Stat. Math."},{"issue":"2","key":"9688_CR25","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1080\/15326349908807536","volume":"15","author":"NH Bingham","year":"1999","unstructured":"Bingham, N.H., Pitts, S.M.: Nonparametric inference from M\/G\/l busy periods. Stoch. Models 15(2), 247\u2013272 (1999)","journal-title":"Stoch. Models"},{"issue":"3","key":"9688_CR26","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1111\/j.1467-9868.2005.00508.x","volume":"67","author":"M Bladt","year":"2005","unstructured":"Bladt, M., S\u00f8rensen, M.: Statistical inference for discretely observed Markov jump processes. J. R. Stat. Soc. Ser. B (Statistical Methodology) 67(3), 395\u2013410 (2005)","journal-title":"J. R. Stat. Soc. Ser. B (Statistical Methodology)"},{"issue":"4","key":"9688_CR27","doi-asserted-by":"publisher","first-page":"1044","DOI":"10.1017\/S0021900200013784","volume":"50","author":"N Blanghaps","year":"2013","unstructured":"Blanghaps, N., Nov, Y., Weiss, G.: Sojourn time estimation in an M\/G\/$$\\infty $$ queue with partial information. J. Appl. Prob. 50(4), 1044\u20131056 (2013)","journal-title":"J. Appl. Prob."},{"key":"9688_CR28","volume-title":"Introduction to Bayesian statistics","author":"WM Bolstad","year":"2016","unstructured":"Bolstad, W.M., Curran, J.M.: Introduction to Bayesian statistics. Wiley, Hoboken (2016)"},{"issue":"3\u20134","key":"9688_CR29","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/s11134-007-9011-3","volume":"56","author":"OJ Boxma","year":"2007","unstructured":"Boxma, O.J., Vlasiou, M.: On queues with service and interarrival times depending on waiting times. Queueing Syst. 56(3\u20134), 121\u2013132 (2007)","journal-title":"Queueing Syst."},{"key":"9688_CR30","volume-title":"Stability of Queueing Networks","author":"M Bramson","year":"2008","unstructured":"Bramson, M.: Stability of Queueing Networks. Springer, Berlin (2008)"},{"issue":"5","key":"9688_CR31","doi-asserted-by":"publisher","first-page":"815","DOI":"10.1214\/aop\/1176996550","volume":"2","author":"DR Brillinger","year":"1974","unstructured":"Brillinger, D.R.: Cross-spectral analysis of processes with stationary increments including the stationary G\/G\/$$\\infty $$ queue. Ann. Prob. 2(5), 815\u2013827 (1974)","journal-title":"Ann. Prob."},{"key":"9688_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-0320-4","volume-title":"Time Series: Theory and Methods","author":"PJ Brockwell","year":"1991","unstructured":"Brockwell, P.J., Davis, R.A., Fienberg, S.E.: Time Series: Theory and Methods. Springer, Berlin (1991)"},{"issue":"2","key":"9688_CR33","doi-asserted-by":"publisher","first-page":"651","DOI":"10.1214\/aoms\/1177697107","volume":"41","author":"M Brown","year":"1970","unstructured":"Brown, M.: An M\/G\/$$\\infty $$ estimation problem. Ann. Math. Stat. 41(2), 651\u2013654 (1970)","journal-title":"Ann. Math. Stat."},{"issue":"3\u2013part\u2013i","key":"9688_CR34","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1287\/opre.28.3.535","volume":"28","author":"JS Carson","year":"1980","unstructured":"Carson, J.S., Law, A.M.: Conservation equations and variance reduction in queueing simulations. Oper. Res. 28(3\u2013part\u2013i), 535\u2013546 (1980)","journal-title":"Oper. Res."},{"key":"9688_CR35","volume-title":"Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (stochastic Modelling and Applied Probability Series)","author":"H Chen","year":"2013","unstructured":"Chen, H., Yao, D.D.: Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (stochastic Modelling and Applied Probability Series), vol. 46. Springer, Berlin (2013)"},{"issue":"9","key":"9688_CR36","doi-asserted-by":"publisher","first-page":"2730","DOI":"10.1109\/26.317414","volume":"42","author":"TM Chen","year":"1994","unstructured":"Chen, T.M., Walrand, J., Messerschmitt, D.G.: Parameter estimation for partially observed queues. IEEE Trans. Commun. 42(9), 2730\u20132739 (1994)","journal-title":"IEEE Trans. Commun."},{"issue":"4","key":"9688_CR37","doi-asserted-by":"publisher","first-page":"1036","DOI":"10.1214\/aoms\/1177706808","volume":"28","author":"AB Clarke","year":"1957","unstructured":"Clarke, A.B.: Maximum likelihood estimates in a simple queue. Ann. Math. Stat. 28(4), 1036\u20131040 (1957)","journal-title":"Ann. Math. Stat."},{"key":"9688_CR38","volume-title":"The Single Server Queue (Applied Mathematics and Mechanics)","author":"JW Cohen","year":"1982","unstructured":"Cohen, J.W.: The Single Server Queue (Applied Mathematics and Mechanics), vol. 8. North-Holland, Amsterdam (1982)"},{"issue":"1","key":"9688_CR39","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1016\/j.ejor.2008.06.024","volume":"197","author":"G Comert","year":"2009","unstructured":"Comert, G., Cetin, M.: Queue length estimation from probe vehicle location and the impacts of sample size. Eur. J. Oper. Res. 197(1), 196\u2013202 (2009)","journal-title":"Eur. J. Oper. Res."},{"issue":"6","key":"9688_CR40","doi-asserted-by":"publisher","first-page":"1785","DOI":"10.1214\/aos\/1017939239","volume":"27","author":"PL Conti","year":"1999","unstructured":"Conti, P.L.: Large sample Bayesian analysis for Geo\/G\/1 discrete-time queueing models. Ann. Stat. 27(6), 1785\u20131807 (1999)","journal-title":"Ann. Stat."},{"key":"9688_CR41","unstructured":"Cox, D.R.: Some problems of statistical analysis connected via congestion. In: Proceedings of Symposium on Congestion Theory, pp. 289\u2013316 (1965)"},{"issue":"3","key":"9688_CR42","doi-asserted-by":"publisher","first-page":"713","DOI":"10.2307\/3214907","volume":"29","author":"DJ Daley","year":"1992","unstructured":"Daley, D.J., Servi, L.D.: Exploiting Markov chains to infer queue length from transactional data. J. Appl. Prob. 29(3), 713\u2013732 (1992)","journal-title":"J. Appl. Prob."},{"issue":"3","key":"9688_CR43","doi-asserted-by":"publisher","first-page":"607","DOI":"10.2307\/1427526","volume":"25","author":"DJ Daley","year":"1993","unstructured":"Daley, D.J., Servi, L.D.: A two-point Markov chain boundary-value problem. Adv. Appl. Prob. 25(3), 607\u2013630 (1993)","journal-title":"Adv. Appl. Prob."},{"issue":"2","key":"9688_CR44","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1287\/ijoc.9.2.224","volume":"9","author":"DJ Daley","year":"1997","unstructured":"Daley, D.J., Servi, L.D.: Estimating waiting times from transactional data. INFORMS J. Comput. 9(2), 224\u2013229 (1997)","journal-title":"INFORMS J. Comput."},{"issue":"3","key":"9688_CR45","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1155\/S1048953398000252","volume":"11","author":"DJ Daley","year":"1998","unstructured":"Daley, D.J., Servi, L.D.: Moment estimation of customer loss rates from transactional data. J. Appl. Math. Stoch. Anal. 11(3), 301\u2013310 (1998)","journal-title":"J. Appl. Math. Stoch. Anal."},{"issue":"4A","key":"9688_CR46","doi-asserted-by":"crossref","first-page":"2533","DOI":"10.3150\/16-BEJ818","volume":"23","author":"AV den Boer","year":"2017","unstructured":"den Boer, A.V., Mandjes, M.: Convergence rates of Laplace-transform based estimators. Bernoulli 23(4A), 2533\u20132557 (2017)","journal-title":"Bernoulli"},{"issue":"4","key":"9688_CR47","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/0167-6377(96)00027-2","volume":"19","author":"DD Dimitrijevic","year":"1996","unstructured":"Dimitrijevic, D.D.: Inferring most likely queue length from transactional data. Oper. Res. Lett. 19(4), 191\u2013199 (1996)","journal-title":"Oper. Res. Lett."},{"issue":"8","key":"9688_CR48","doi-asserted-by":"publisher","first-page":"1728","DOI":"10.1080\/00207721.2012.749435","volume":"45","author":"TV Dinh","year":"2014","unstructured":"Dinh, T.V., Andrew, L.L.H., Nazarathy, Y.: Architecture and robustness tradeoffs in speed-scaled queues with application to energy management. Int. J. Syst. Sci. 45(8), 1728\u20131739 (2014)","journal-title":"Int. J. Syst. Sci."},{"issue":"3\u20134","key":"9688_CR49","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/s11134-014-9429-3","volume":"79","author":"J Dong","year":"2015","unstructured":"Dong, J., Whitt, W.: Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data. Queueing Syst. 79(3\u20134), 391\u2013426 (2015)","journal-title":"Queueing Syst."},{"issue":"8","key":"9688_CR50","doi-asserted-by":"publisher","first-page":"664","DOI":"10.1002\/nav.21672","volume":"62","author":"J Dong","year":"2015","unstructured":"Dong, J., Whitt, W.: Using a birth-and-death process to estimate the steady-state distribution of a periodic queue. Nav. Res. Logist. (NRL) 62(8), 664\u2013685 (2015)","journal-title":"Nav. Res. Logist. (NRL)"},{"issue":"6","key":"9688_CR51","doi-asserted-by":"publisher","first-page":"1773","DOI":"10.1111\/j.1468-0262.2004.00553.x","volume":"72","author":"D Duffie","year":"2004","unstructured":"Duffie, D., Glynn, P.: Estimation of continuous-time Markov processes sampled at random time intervals. Econometrica 72(6), 1773\u20131808 (2004)","journal-title":"Econometrica"},{"issue":"3\u20134","key":"9688_CR52","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/s11134-011-9245-y","volume":"68","author":"KR Duffy","year":"2011","unstructured":"Duffy, K.R., Meyn, S.P.: Estimating Loynes\u2019 exponent. Queueing Syst. 68(3\u20134), 285\u2013293 (2011)","journal-title":"Queueing Syst."},{"issue":"3","key":"9688_CR53","doi-asserted-by":"publisher","first-page":"790","DOI":"10.1239\/aap\/1409319560","volume":"46","author":"D Edelmann","year":"2014","unstructured":"Edelmann, D., Wichelhaus, C.: Nonparametric inference for queueing networks of Geom$$_X$$\/G\/$$\\infty $$ queues in discrete time. Adv. Appl. Prob. 46(3), 790\u2013811 (2014)","journal-title":"Adv. Appl. Prob."},{"issue":"3","key":"9688_CR54","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1023\/B:STCO.0000035305.92337.80","volume":"14","author":"P Fearnhead","year":"2004","unstructured":"Fearnhead, P.: Filtering recursions for calculating likelihoods for queues based on inter-departure time data. Stat. Comput. 14(3), 261\u2013266 (2004)","journal-title":"Stat. Comput."},{"issue":"4","key":"9688_CR55","first-page":"275","volume":"47","author":"S Foss","year":"2004","unstructured":"Foss, S., Konstantopoulos, T.: An overview of some stochastic stability methods (special issue: network design, control and optimization). J. Oper. Res. Soc. Jpn. 47(4), 275\u2013303 (2004)","journal-title":"J. Oper. Res. Soc. Jpn."},{"issue":"5","key":"9688_CR56","doi-asserted-by":"publisher","first-page":"420","DOI":"10.1016\/j.orl.2010.05.005","volume":"38","author":"JC Frey","year":"2010","unstructured":"Frey, J.C., Kaplan, E.H.: Queue inference from periodic reporting data. Oper. Res. Lett. 38(5), 420\u2013426 (2010)","journal-title":"Oper. Res. Lett."},{"issue":"2","key":"9688_CR57","doi-asserted-by":"publisher","first-page":"400","DOI":"10.1287\/opre.41.2.400","volume":"41","author":"PW Glynn","year":"1993","unstructured":"Glynn, P.W., Melamed, B., Whitt, W.: Estimating customer and time averages. Oper. Res. 41(2), 400\u2013408 (1993)","journal-title":"Oper. Res."},{"key":"9688_CR58","unstructured":"Glynn, P.W., Torres, M.: Parametric estimation of tail probabilities for the single-server queue. In: Dshalalow, J.H. (ed.) Chapter in Frontiers in Queueing: Models and Applications in Science and Engineering, pp. 449\u2013462 (1997)"},{"issue":"2","key":"9688_CR59","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/BF01536188","volume":"1","author":"PW Glynn","year":"1986","unstructured":"Glynn, P.W., Whitt, W.: A central-limit-theorem version of L= $$\\lambda $$W. Queueing Syst. 1(2), 191\u2013215 (1986)","journal-title":"Queueing Syst."},{"issue":"1","key":"9688_CR60","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1287\/opre.37.1.82","volume":"37","author":"PW Glynn","year":"1989","unstructured":"Glynn, P.W., Whitt, W.: Indirect estimation via $${L}= \\lambda {W}$$. Oper. Res. 37(1), 82\u2013103 (1989)","journal-title":"Oper. Res."},{"key":"9688_CR61","first-page":"135","volume":"28","author":"PW Glynn","year":"2000","unstructured":"Glynn, P.W., Zeevi, A.J.: Estimating tail probabilities in queues via extremal statistics. Analysis of communication networks: call centres, traffic and performance. Fields Inst. Commun. 28, 135\u2013158 (2000)","journal-title":"Fields Inst. Commun."},{"issue":"4","key":"9688_CR62","doi-asserted-by":"publisher","first-page":"1117","DOI":"10.1017\/apr.2016.67","volume":"48","author":"A Goldenschluger","year":"2016","unstructured":"Goldenschluger, A.: Nonparametric estimation of the service time distribution in the M\/G\/$$\\infty $$ queue. Adv. Appl. Prob. 48(4), 1117\u20131138 (2016)","journal-title":"Adv. Appl. Prob."},{"issue":"4A","key":"9688_CR63","doi-asserted-by":"publisher","first-page":"2531","DOI":"10.3150\/17-BEJ936","volume":"24","author":"A Goldenshluger","year":"2018","unstructured":"Goldenshluger, A.: The M\/G\/$$\\infty $$ estimation problem revisited. Bernoulli 24(4A), 2531\u20132568 (2018)","journal-title":"Bernoulli"},{"issue":"3","key":"9688_CR64","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1287\/stsy.2018.0026","volume":"9","author":"A Goldenshluger","year":"2019","unstructured":"Goldenshluger, A., Koops, D.T.: Nonparametric estimation of service time characteristics in infinite-server queues with nonstationary Poisson input. Stoch. Syst. 9(3), 183\u2013207 (2019)","journal-title":"Stoch. Syst."},{"issue":"2","key":"9688_CR65","doi-asserted-by":"publisher","first-page":"296","DOI":"10.2307\/3214036","volume":"26","author":"R Gr\u00fcbel","year":"1989","unstructured":"Gr\u00fcbel, R.: Stochastic models as functionals: some remarks on the renewal case. J. Appl. Prob. 26(2), 296\u2013303 (1989)","journal-title":"J. Appl. Prob."},{"issue":"4","key":"9688_CR66","doi-asserted-by":"publisher","first-page":"1754","DOI":"10.1214\/aop\/1176989528","volume":"20","author":"R Gr\u00fcbel","year":"1992","unstructured":"Gr\u00fcbel, R., Pitts, S.M.: A functional approach to the stationary waiting time and idle period distributions of the GI\/G\/1 queue. Ann. Prob. 20(4), 1754\u20131778 (1992)","journal-title":"Ann. Prob."},{"issue":"1","key":"9688_CR67","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1239\/jap\/1300198140","volume":"48","author":"R Gr\u00fcbel","year":"2011","unstructured":"Gr\u00fcbel, R., Wegener, H.: Matchmaking and testing for exponentiality in the M\/G\/$$\\infty $$ queue. J. Appl. Prob. 48(1), 131\u2013144 (2011)","journal-title":"J. Appl. Prob."},{"issue":"4","key":"9688_CR68","doi-asserted-by":"publisher","first-page":"861","DOI":"10.1111\/j.1467-9868.2004.B5725.x","volume":"66","author":"P Hall","year":"2004","unstructured":"Hall, P., Park, J.: Nonparametric inference about service time distribution from indirect measurements. J. R. Stat. Soc. Ser. B (Statistical Methodology) 66(4), 861\u2013875 (2004)","journal-title":"J. R. Stat. Soc. Ser. B (Statistical Methodology)"},{"issue":"4","key":"9688_CR69","doi-asserted-by":"publisher","first-page":"737","DOI":"10.3150\/bj\/1155735934","volume":"12","author":"MB Hansen","year":"2006","unstructured":"Hansen, M.B., Pitts, S.M.: Nonparametric inference from the M\/G\/1 workload. Bernoulli 12(4), 737\u2013759 (2006)","journal-title":"Bernoulli"},{"key":"9688_CR70","unstructured":"Heckmuller, S., Wolfinger, B.E.: Reconstructing arrival processes to G\/D\/1 queueing systems and tandem networks. In: International Symposium on Performance Evaluation of Computer & Telecommunication Systems, 2009. SPECTS 2009, vol.\u00a041, pp. 361\u2013368. IEEE (2009)"},{"issue":"12","key":"9688_CR71","doi-asserted-by":"publisher","first-page":"1033","DOI":"10.1177\/0037549710385835","volume":"87","author":"S Heckm\u00fcller","year":"2011","unstructured":"Heckm\u00fcller, S., Wolfinger, B.E.: Reconstructing arrival processes to discrete queueing systems by inverse load transformation. Simulation 87(12), 1033\u20131047 (2011)","journal-title":"Simulation"},{"key":"9688_CR72","unstructured":"Hei, X., Bensaou, B., Tsang, D.H.K.: A light-weight available bandwidth inference methodology in a queueing analysis approach. In: 2005 IEEE International Conference on Communications, 2005. ICC 2005, vol.\u00a01, pp. 120\u2013124. IEEE (2005)"},{"issue":"12","key":"9688_CR73","doi-asserted-by":"publisher","first-page":"1916","DOI":"10.1016\/j.comnet.2005.09.029","volume":"50","author":"X Hei","year":"2006","unstructured":"Hei, X., Bensaou, B., Tsang, D.H.K.: Model-based end-to-end available bandwidth inference using queueing analysis. Comput. Netw. 50(12), 1916\u20131937 (2006)","journal-title":"Comput. Netw."},{"issue":"5","key":"9688_CR74","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1016\/0167-6911(83)90027-0","volume":"3","author":"O Hernandez-Lerma","year":"1983","unstructured":"Hernandez-Lerma, O., Marcus, S.I.: Adaptive control of service in queueing systems. Syst. Control Lett. 3(5), 283\u2013289 (1983)","journal-title":"Syst. Control Lett."},{"issue":"5","key":"9688_CR75","doi-asserted-by":"publisher","first-page":"1106","DOI":"10.1287\/opre.1110.0974","volume":"59","author":"R Ibrahim","year":"2011","unstructured":"Ibrahim, R., Whitt, W.: Wait-time predictors for customer service systems with time-varying demand and capacity. Oper. Res. Baltimore 59(5), 1106\u20131118 (2011)","journal-title":"Oper. Res. Baltimore"},{"issue":"3","key":"9688_CR76","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1023\/A:1019173206509","volume":"30","author":"DR Insua","year":"1998","unstructured":"Insua, D.R., Wiper, M., Ruggeri, F.: Bayesian analysis of M\/Er\/1 and M\/H$$_k$$\/1 queues. Queueing Syst. 30(3), 289\u2013308 (1998)","journal-title":"Queueing Syst."},{"issue":"5","key":"9688_CR77","doi-asserted-by":"publisher","first-page":"778","DOI":"10.1287\/opre.47.5.778","volume":"47","author":"LK Jones","year":"1999","unstructured":"Jones, L.K.: Inferring balking behavior from transactional data. Oper. Res. 47(5), 778\u2013784 (1999)","journal-title":"Oper. Res."},{"issue":"6","key":"9688_CR78","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1016\/j.orl.2012.08.001","volume":"40","author":"LK Jones","year":"2012","unstructured":"Jones, L.K.: Remarks on queue inference from departure data alone and the importance of the queue inference engine. Oper. Res. Lett. 40(6), 503\u2013505 (2012)","journal-title":"Oper. Res. Lett."},{"issue":"1","key":"9688_CR79","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1287\/ijoc.7.1.89","volume":"7","author":"LK Jones","year":"1995","unstructured":"Jones, L.K., Larson, R.C.: Efficient computation of probabilities of events described by order statistics and applications to queue inference. ORSA J. Comput. 7(1), 89\u2013100 (1995)","journal-title":"ORSA J. Comput."},{"key":"9688_CR80","unstructured":"Kauffmann, B.: Inverse problems in bandwidth sharing networks. In: Proceedings of the 24th International Teletraffic Congress, p.\u00a06. International Teletraffic Congress (2012)"},{"issue":"4","key":"9688_CR81","doi-asserted-by":"publisher","first-page":"567","DOI":"10.1007\/s00180-008-0146-4","volume":"24","author":"JC Ke","year":"2009","unstructured":"Ke, J.C., Chu, Y.K.: Comparison on five estimation approaches of intensity for a queueing system with short run. Comput. Stat. 24(4), 567\u2013582 (2009)","journal-title":"Comput. Stat."},{"key":"9688_CR82","volume-title":"Reversibility and Stochastic Networks","author":"FP Kelly","year":"2011","unstructured":"Kelly, F.P.: Reversibility and Stochastic Networks. Cambridge University Press, Cambridge (2011)"},{"issue":"4","key":"9688_CR83","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1002\/nav.20342","volume":"56","author":"PC Kiessler","year":"2009","unstructured":"Kiessler, P.C., Lund, R.: Technical note: traffic intensity estimation. Nav. Res. Logist. (NRL) 56(4), 385\u2013387 (2009)","journal-title":"Nav. Res. Logist. (NRL)"},{"issue":"4","key":"9688_CR84","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1017\/S0269964813000223","volume":"27","author":"SH Kim","year":"2013","unstructured":"Kim, S.H., Whitt, W.: Estimating waiting times with the time-varying Little\u2019s law. Prob. Eng. Inform. Sci. 27(4), 471\u2013506 (2013)","journal-title":"Prob. Eng. Inform. Sci."},{"issue":"4","key":"9688_CR85","doi-asserted-by":"publisher","first-page":"1030","DOI":"10.1287\/opre.2013.1193","volume":"61","author":"SH Kim","year":"2013","unstructured":"Kim, S.H., Whitt, W.: Statistical analysis with Little\u2019s law. Oper. Res. 61(4), 1030\u20131045 (2013)","journal-title":"Oper. Res."},{"issue":"1","key":"9688_CR86","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1287\/ijoc.2017.0773","volume":"30","author":"SH Kim","year":"2018","unstructured":"Kim, S.H., Whitt, W., Cha, W.C.: A data-driven model of an appointment-generated arrival process at an outpatient clinic. INFORMS J. Comput. 30(1), 181\u2013199 (2018)","journal-title":"INFORMS J. Comput."},{"key":"9688_CR87","doi-asserted-by":"crossref","unstructured":"Krishnasamy, S., Arapostathis, A., Johari, R., Shakkottai, S.: On learning the c$$\\mu $$ rule in single and parallel server networks. In: 2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp. 153\u2013154. IEEE (2018)","DOI":"10.1109\/ALLERTON.2018.8636001"},{"issue":"5","key":"9688_CR88","doi-asserted-by":"publisher","first-page":"586","DOI":"10.1287\/mnsc.36.5.586","volume":"36","author":"RC Larson","year":"1990","unstructured":"Larson, R.C.: The queue inference engine: deducing queue statistics from transactional data. Manag. Sci. 36(5), 586\u2013601 (1990)","journal-title":"Manag. Sci."},{"key":"9688_CR89","volume-title":"Matrix-Analytic Methods in Stochastic Models (Springer Proceedings in Mathematics Statistics)","author":"G Latouche","year":"2012","unstructured":"Latouche, G., Ramaswami, V., Sethuraman, J., Sigman, K., Squillante, M.S., Yao, D.: Matrix-Analytic Methods in Stochastic Models (Springer Proceedings in Mathematics Statistics), vol. 27. Springer, Berlin (2012)"},{"issue":"1","key":"9688_CR90","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1023\/A:1019119727465","volume":"29","author":"A Mandelbaum","year":"1998","unstructured":"Mandelbaum, A., Zeltyn, S.: Estimating characteristics of queueing networks using transactional data. Queueing Syst. 29(1), 75\u2013127 (1998)","journal-title":"Queueing Syst."},{"issue":"2","key":"9688_CR91","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1287\/stsy.2017.0003","volume":"7","author":"M Mandjes","year":"2017","unstructured":"Mandjes, M., Patch, B., Walton, N.S.: Detecting Markov chain instability: a Monte Carlo approach. Stoch. Syst. 7(2), 289\u2013314 (2017)","journal-title":"Stoch. Syst."},{"key":"9688_CR92","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/j.spa.2020.11.005","volume":"133","author":"M Mandjes","year":"2020","unstructured":"Mandjes, M., Ravner, L.: Hypothesis testing for a L\u00e9vy-driven storage system by Poisson sampling. Stoch. Process. Appl. 133, 41\u201373 (2020)","journal-title":"Stoch. Process. Appl."},{"issue":"4","key":"9688_CR93","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1007\/BF01150668","volume":"1","author":"MF Mcgrath","year":"1987","unstructured":"Mcgrath, M.F., Gross, D., Singpurwalla, N.D.: A subjective Bayesian approach to the theory of queues I\u2014modeling. Queueing Syst. 1(4), 317\u2013333 (1987)","journal-title":"Queueing Syst."},{"issue":"4","key":"9688_CR94","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1007\/BF01150669","volume":"1","author":"MF McGrath","year":"1987","unstructured":"McGrath, M.F., Singpurwalla, N.D.: A subjective Bayesian approach to the theory of queues II\u2014inference and information in M\/M\/1 queues. Queueing Syst. 1(4), 335\u2013353 (1987)","journal-title":"Queueing Syst."},{"key":"9688_CR95","unstructured":"McVinish, R., Pollett, P.K.: Constructing estimating equations from queue length data. Preprint at https:\/\/people.smp.uq.edu.au\/PhilipPollett\/papers\/2011dMcVinishPollett.pdf (2011)"},{"issue":"8","key":"9688_CR96","doi-asserted-by":"publisher","first-page":"3299","DOI":"10.1016\/j.apm.2008.10.031","volume":"33","author":"SY Nam","year":"2009","unstructured":"Nam, S.Y., Kim, S., Sung, D.K.: Estimation of available bandwidth for an M\/G\/1 queueing system. Appl. Math. Model. 33(8), 3299\u20133308 (2009)","journal-title":"Appl. Math. Model."},{"issue":"3","key":"9688_CR97","doi-asserted-by":"publisher","first-page":"705","DOI":"10.1214\/aos\/1056562461","volume":"31","author":"RM Neal","year":"2003","unstructured":"Neal, R.M.: Slice sampling. Ann. Stat. 31(3), 705\u2013741 (2003)","journal-title":"Ann. Stat."},{"issue":"4","key":"9688_CR98","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/s11134-009-9107-z","volume":"61","author":"A Novak","year":"2009","unstructured":"Novak, A., Watson, R.: Determining an adequate probe separation for estimating the arrival rate in an M\/D\/1 queue using single-packet probing. Queueing Syst. 61(4), 255\u2013272 (2009)","journal-title":"Queueing Syst."},{"issue":"2","key":"9688_CR99","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1287\/opre.36.2.308","volume":"36","author":"A Nozari","year":"1988","unstructured":"Nozari, A., Whitt, W.: Estimating average production intervals using inventory measurements: Little\u2019s law for partially observable processes. Oper. Res. 36(2), 308\u2013323 (1988)","journal-title":"Oper. Res."},{"issue":"6","key":"9688_CR100","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1057\/jors.1988.98","volume":"39","author":"B Pagurek","year":"1988","unstructured":"Pagurek, B., Stanford, D.A., Woodside, C.M.: Optimal prediction of times and queue lengths in the M\/G\/1 queue. J. Oper. Res. Soc. 39(6), 585\u2013593 (1988)","journal-title":"J. Oper. Res. Soc."},{"issue":"3","key":"9688_CR101","doi-asserted-by":"publisher","first-page":"842","DOI":"10.1016\/j.cie.2011.05.017","volume":"61","author":"J Park","year":"2011","unstructured":"Park, J., Kim, Y.B., Willemain, T.R.: Analysis of an unobservable queue using arrival and departure times. Comput. Ind. Eng. 61(3), 842\u2013847 (2011)","journal-title":"Comput. Ind. Eng."},{"issue":"2","key":"9688_CR102","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1093\/biomet\/84.2.295","volume":"84","author":"J Pickands","year":"1997","unstructured":"Pickands, J., Stine, R.A.: Estimation for an M\/G\/$$\\infty $$ queue with incomplete information. Biometrika 84(2), 295\u2013308 (1997)","journal-title":"Biometrika"},{"issue":"4","key":"9688_CR103","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1007\/s11134-010-9195-9","volume":"66","author":"F Pin","year":"2010","unstructured":"Pin, F., Veitch, D., Kauffmann, B.: Statistical estimation of delays in a multicast tree using accelerated EM. Queueing Syst. 66(4), 369\u2013412 (2010)","journal-title":"Queueing Syst."},{"issue":"3","key":"9688_CR104","doi-asserted-by":"publisher","first-page":"1428","DOI":"10.1214\/aos\/1176325635","volume":"22","author":"SM Pitts","year":"1994","unstructured":"Pitts, S.M.: Nonparametric estimation of the stationary waiting time distribution function for the GI\/G\/1 queue. Ann. Stat. 22(3), 1428\u20131446 (1994)","journal-title":"Ann. Stat."},{"issue":"3","key":"9688_CR105","doi-asserted-by":"publisher","first-page":"1533","DOI":"10.1214\/10-AOAS336","volume":"4","author":"P Ramirez-Cobo","year":"2010","unstructured":"Ramirez-Cobo, P., Lillo, R.E., Wilson, S., Wiper, M.P.: Bayesian inference for double Pareto lognormal queues. Ann. Appl. Stat. 4(3), 1533\u20131557 (2010)","journal-title":"Ann. Appl. Stat."},{"issue":"4B","key":"9688_CR106","doi-asserted-by":"publisher","first-page":"3734","DOI":"10.3150\/19-BEJ1109","volume":"25","author":"L Ravner","year":"2019","unstructured":"Ravner, L., Boxma, O., Mandjes, M.: Estimating the input of a L\u00e9vy-driven queue by Poisson sampling of the workload process. Bernoulli 25(4B), 3734\u20133761 (2019)","journal-title":"Bernoulli"},{"issue":"2","key":"9688_CR107","doi-asserted-by":"publisher","first-page":"383","DOI":"10.2307\/1426082","volume":"7","author":"JF Reynolds","year":"1975","unstructured":"Reynolds, J.F.: The covariance structure of queues and related processes\u2014a survey of recent work. Adv. Appl. Probab. 7(2), 383\u2013415 (1975)","journal-title":"Adv. Appl. Probab."},{"issue":"3\u20134","key":"9688_CR108","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/S0895-7177(99)00142-9","volume":"30","author":"A Rodrigo","year":"1999","unstructured":"Rodrigo, A., Vazquez, M.: Large sample inference in retrial queues. Math. Comput. Modell. 30(3\u20134), 197\u2013206 (1999)","journal-title":"Math. Comput. Modell."},{"issue":"2","key":"9688_CR109","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/s11134-006-9009-2","volume":"55","author":"JV Ross","year":"2007","unstructured":"Ross, J.V., Taimre, T., Pollett, P.K.: Estimation for queues from queue length data. Queueing Syst. 55(2), 131\u2013138 (2007)","journal-title":"Queueing Syst."},{"issue":"2","key":"9688_CR110","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/0167-6377(82)90051-7","volume":"1","author":"L Schruben","year":"1982","unstructured":"Schruben, L., Kulkarni, R.: Some consequences of estimating parameters for the M\/M\/1 queue. Oper. Res. Lett. 1(2), 75\u201378 (1982)","journal-title":"Oper. Res. Lett."},{"issue":"1","key":"9688_CR111","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/j.spa.2014.09.003","volume":"125","author":"S Schweer","year":"2015","unstructured":"Schweer, S., Wichelhaus, C.: Nonparametric estimation of the service time distribution in the discrete-time GI\/G\/$$\\infty $$ queue with partial information. Stoch. Process. Appl. 125(1), 233\u2013253 (2015)","journal-title":"Stoch. Process. Appl."},{"issue":"8","key":"9688_CR112","doi-asserted-by":"publisher","first-page":"4643","DOI":"10.1016\/j.spa.2020.01.011","volume":"130","author":"S Schweer","year":"2020","unstructured":"Schweer, S., Wichelhaus, C.: Nonparametric estimation of the service time distribution in discrete-time queueing networks. Stoch. Process. Appl. 130(8), 4643\u20134666 (2020)","journal-title":"Stoch. Process. Appl."},{"key":"9688_CR113","doi-asserted-by":"crossref","unstructured":"Senderovich, A., Leemans, S.J.J., Harel, S., Gal, A., Mandelbaum, A., van\u00a0der Aalst, W.M.P.: Discovering queues from event logs with varying levels of information. In: International Conference on Business Process Management, pp. 154\u2013166. Springer (2016)","DOI":"10.1007\/978-3-319-42887-1_13"},{"key":"9688_CR114","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1016\/j.is.2015.03.010","volume":"53","author":"A Senderovich","year":"2019","unstructured":"Senderovich, A., Weidlich, M., Gal, A., Mandelbaum, A.: Queue mining for delay prediction in multi-class service processes. Inform. Syst. 53, 278\u2013295 (2019)","journal-title":"Inform. Syst."},{"key":"9688_CR115","doi-asserted-by":"crossref","unstructured":"Senderovich, A., Weidlich, M., Gal, A., Mandelbaum, A.: Queue mining\u2013predicting delays in service processes. In: International Conference on Advanced Information Systems Engineering, pp. 42\u201357. Springer (2014)","DOI":"10.1007\/978-3-319-07881-6_4"},{"key":"9688_CR116","doi-asserted-by":"crossref","unstructured":"Senderovich, A., Weidlich, M., Gal, A., Mandelbaum, A., Kadish, S., Bunnell, C.A.: Discovery and validation of queueing networks in scheduled processes. In: Advanced Information Systems Engineering, p. 417\u2013433. Springer (2015)","DOI":"10.1007\/978-3-319-19069-3_26"},{"issue":"3","key":"9688_CR117","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1016\/S0166-5316(97)00023-0","volume":"32","author":"V Sharma","year":"1998","unstructured":"Sharma, V., Mazumdar, R.: Estimating traffic parameters in queueing systems with local information. Perform. Eval. 32(3), 217\u2013230 (1998)","journal-title":"Perform. Eval."},{"issue":"2","key":"9688_CR118","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1287\/opre.31.2.322","volume":"31","author":"DA Stanford","year":"1983","unstructured":"Stanford, D.A., Pagurek, B., Woodside, C.M.: Optimal prediction of times and queue lengths in the GI\/M\/1 queue. Oper. Res. 31(2), 322\u2013337 (1983)","journal-title":"Oper. Res."},{"issue":"1","key":"9688_CR119","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1214\/10-AOAS392","volume":"5","author":"C Sutton","year":"2011","unstructured":"Sutton, C., Jordan, M.I.: Bayesian inference for queueing networks and modeling of internet services. Ann. Appl. Stat. 5(1), 254\u2013282 (2011)","journal-title":"Ann. Appl. Stat."},{"key":"9688_CR120","doi-asserted-by":"crossref","unstructured":"Thiongane, M., Chan, W., l\u2019Ecuyer, P.: New history-based delay predictors for service systems. In: 2016 Winter Simulation Conference (WSC), pp. 425\u2013436. IEEE (2016)","DOI":"10.1109\/WSC.2016.7822109"},{"issue":"3","key":"9688_CR121","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/BF01163999","volume":"11","author":"D Thiruvaiyaru","year":"1992","unstructured":"Thiruvaiyaru, D., Basawa, I.V.: Empirical Bayes estimation for queueing systems and networks. Queueing Syst. 11(3), 179\u2013202 (1992)","journal-title":"Queueing Syst."},{"issue":"3","key":"9688_CR122","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1007\/BF01158468","volume":"9","author":"D Thiruvaiyaru","year":"1991","unstructured":"Thiruvaiyaru, D., Basawa, I.V., Bhat, U.N.: Estimation for a class of simple queueing networks. Queueing Syst. 9(3), 301\u2013312 (1991)","journal-title":"Queueing Syst."},{"issue":"9","key":"9688_CR123","doi-asserted-by":"publisher","first-page":"1128","DOI":"10.1109\/TKDE.2004.47","volume":"16","author":"W Van der Aalst","year":"2004","unstructured":"Van der Aalst, W., Weijters, T., Maruster, L.: Workflow mining: discovering process models from event logs. IEEE Trans. Knowl. Data Eng. 16(9), 1128\u20131142 (2004)","journal-title":"IEEE Trans. Knowl. Data Eng."},{"issue":"2","key":"9688_CR124","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1145\/2825236.2825255","volume":"43","author":"W Wang","year":"2015","unstructured":"Wang, W., Casale, G.: Maximum likelihood estimation of closed queueing network demands from queue length data. ACM SIGMETRICS Perform. Eval. Rev. 43(2), 45\u201347 (2015)","journal-title":"ACM SIGMETRICS Perform. Eval. Rev."},{"key":"9688_CR125","doi-asserted-by":"crossref","unstructured":"Wang, W., Casale, G., Kattepur, A., Nambiar, M.: Maximum likelihood estimation of closed queueing network demands from queue length data. In: Proceedings of the 7th ACM\/SPEC on International Conference on Performance Engineering, pp. 3\u201314 (2016)","DOI":"10.1145\/2851553.2851565"},{"issue":"6","key":"9688_CR126","doi-asserted-by":"publisher","first-page":"870","DOI":"10.1287\/mnsc.45.6.870","volume":"45","author":"W Whitt","year":"1999","unstructured":"Whitt, W.: Predicting queueing delays. Manag. Sci. 45(6), 870\u2013888 (1999)","journal-title":"Manag. Sci."},{"key":"9688_CR127","doi-asserted-by":"publisher","DOI":"10.1007\/b97479","volume-title":"Stochastic-Process Limits: An Introduction to Stochastic-process Limits and their Application to Queues","author":"W Whitt","year":"2002","unstructured":"Whitt, W.: Stochastic-Process Limits: An Introduction to Stochastic-process Limits and their Application to Queues. Springer, Berlin (2002)"},{"key":"9688_CR128","doi-asserted-by":"publisher","first-page":"998","DOI":"10.1016\/j.spl.2012.02.010","volume":"82","author":"W Whitt","year":"2012","unstructured":"Whitt, W.: Fitting birth-and-death queueing models to data. Stat. Prob. Lett. 82, 998\u20131004 (2012)","journal-title":"Stat. Prob. Lett."},{"issue":"4","key":"9688_CR129","doi-asserted-by":"publisher","first-page":"809","DOI":"10.1287\/opre.32.4.809","volume":"32","author":"CM Woodside","year":"1984","unstructured":"Woodside, C.M., Stanford, D.A., Pagurek, B.: Optimal prediction of queue lengths and delays in G$$_i$$\/M\/M multiserver queues. Oper. Res. 32(4), 809\u2013817 (1984)","journal-title":"Oper. Res."},{"key":"9688_CR130","unstructured":"Zhang, L., Xia, C.H., Squillante, M.S., Mills, W.N.: Workload service requirements analysis: A queueing network optimization approach. In: 10th IEEE International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunications Systems, 2002. MASCOTS 2002. Proceedings, pp. 23\u201332. IEEE (2002)"},{"issue":"5","key":"9688_CR131","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/S0167-6377(00)00030-4","volume":"26","author":"S Zheng","year":"2000","unstructured":"Zheng, S., Seila, A.F.: Some well-behaved estimators for the M\/M\/1 queue. Oper. Res. Lett. 26(5), 231\u2013235 (2000)","journal-title":"Oper. Res. Lett."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-021-09688-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11134-021-09688-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-021-09688-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,24]],"date-time":"2024-08-24T12:57:36Z","timestamp":1724504256000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11134-021-09688-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2]]},"references-count":131,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["9688"],"URL":"https:\/\/doi.org\/10.1007\/s11134-021-09688-w","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,2]]},"assertion":[{"value":"1 November 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 December 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 January 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 February 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}