{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:14:15Z","timestamp":1773656055629,"version":"3.50.1"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1990,12,1]],"date-time":"1990-12-01T00:00:00Z","timestamp":660009600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[1990,12]]},"DOI":"10.1007\/bf02411477","type":"journal-article","created":{"date-parts":[[2006,5,12]],"date-time":"2006-05-12T04:28:37Z","timestamp":1147408117000},"page":"261-275","source":"Crossref","is-referenced-by-count":4,"title":["On inference concerning time-dependent queue performance: The M\/G\/1 example"],"prefix":"10.1007","volume":"6","author":[{"given":"D. P.","family":"Gaver","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P. A.","family":"Jacobs","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02411477_CR1","doi-asserted-by":"crossref","first-page":"145","DOI":"10.2307\/1427274","volume":"20","author":"J. Abate","year":"1988","unstructured":"J. Abate and W. Whitt, Transient behavior of theM\/M\/1 queue via Laplace transforms, Adv. Appl. Prob. 20 (1988) 145\u2013178.","journal-title":"Adv. Appl. Prob."},{"key":"BF02411477_CR2","unstructured":"J. Abate and W. Whitt, Approximation for theM\/M\/1 busy-period distribution, unpublished paper (1987)."},{"key":"BF02411477_CR3","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1080\/15326348808807072","volume":"4","author":"S. Asmussen","year":"1988","unstructured":"S. Asmussen and H. Thorisson, Large deviation results for time-dependent queue length distributions, Commun. Statist.-Stochastic Models 4 (1988) 99\u2013116.","journal-title":"Commun. Statist.-Stochastic Models"},{"key":"BF02411477_CR4","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1002\/nav.3800280311","volume":"28","author":"I.V. Basawa","year":"1981","unstructured":"I.V. Basawa and N.U. Prabhu, Estimation in single server queues, Naval Res. Logist. Quart. 28 (1981) 475\u2013487.","journal-title":"Naval Res. Logist. Quart."},{"key":"BF02411477_CR5","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1007\/BF01157852","volume":"3","author":"I.V. Basawa","year":"1988","unstructured":"I.V. Basawa and N.U. Prabhu, Large sample inference from single server queues, Queueing Systems 3 (1988) 289\u2013304.","journal-title":"Queueing Systems"},{"key":"BF02411477_CR6","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/BF01149536","volume":"1","author":"U.N. Bhat","year":"1987","unstructured":"U.N. Bhat and S.S. Rao, Statistical analysis of queueing systems, Queueing Systems 1 (1987) 217\u2013247.","journal-title":"Queueing Systems"},{"key":"BF02411477_CR7","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1214\/aoms\/1177728268","volume":"27","author":"A.B. Clarke","year":"1957","unstructured":"A.B. Clarke, A waiting line process of Markov type, Ann. Math. Stat. 27 (1957) 452\u2013459.","journal-title":"Ann. Math. Stat."},{"key":"BF02411477_CR8","unstructured":"D.R. Cox, Some problems of statistical analysis connected with congestion, in:Proc. Symp. on Congestion Theory, eds. W.L. Smith and W.E. Wilkinson, Chapel Hill (1964) chap. 10."},{"key":"BF02411477_CR9","first-page":"49","volume":"4","author":"D.R. Cox","year":"1977","unstructured":"D.R. Cox, The role of significance tests, Scand. J. Statistics 4 (1977) 49\u201370.","journal-title":"Scand. J. Statistics"},{"key":"BF02411477_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/aos\/1176344552","volume":"7","author":"B. Efron","year":"1979","unstructured":"B. Efron, Bootstrap methods: another look at the jackknife, Ann. Statistics 7 (1979) 1\u201326.","journal-title":"Ann. Statistics"},{"key":"BF02411477_CR11","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1214\/ss\/1177013815","volume":"1","author":"B. Efron","year":"1986","unstructured":"B. Efron and R. Tibshirani, Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy, Statist. Sci. 1 (1986) 54\u201377.","journal-title":"Statist. Sci."},{"key":"BF02411477_CR12","volume-title":"An Introduction to Probability Theory and its Applications, vol. 2","author":"W. Feller","year":"1966","unstructured":"W. Feller,An Introduction to Probability Theory and its Applications, vol. 2 (Wiley, New York, 1966)."},{"key":"BF02411477_CR13","unstructured":"D.P. Gaver and P.A. Jacobs, On inference and transient response forM\/G\/1 models,Teletraffic Analysis and Computer Performance Evaluation, eds. O.J. Boxma, J.W. Cohen and H.C. Tijms (Elsevier Science\/North-Holland, 1986)."},{"key":"BF02411477_CR14","doi-asserted-by":"crossref","unstructured":"D.P. Gaver and P.A. Jacobs, System availability: time dependence and statistical inference by (semi) non-parametric methods, Naval Postgraduate School Technical Report (1988), to appear in Applied Stochastic Models and Data Analysis.","DOI":"10.21236\/ADA200579"},{"key":"BF02411477_CR15","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1287\/opre.14.3.444","volume":"15","author":"D.P. Gaver","year":"1966","unstructured":"D.P. Gaver, Observing stochastic processes and approximate transform inversion, Oper. Res. 15 (1966) 444\u2013459.","journal-title":"Oper. Res."},{"key":"BF02411477_CR16","volume-title":"Fundamentals of Queueing Theory","author":"D. Gross","year":"1974","unstructured":"D. Gross and C.M. Harris,Fundamentals of Queueing Theory (Wiley, New York, 1974)."},{"key":"BF02411477_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6200-8","volume-title":"Markov Chain Models \u2014 Rarity and Exponentiality","author":"J. Keilson","year":"1979","unstructured":"J. Keilson,Markov Chain Models \u2014 Rarity and Exponentiality (Springer, New York, 1979)."},{"key":"BF02411477_CR18","doi-asserted-by":"crossref","unstructured":"P.A.W. Lewis and L. Uribe, The new Naval Postgraduate School random number package \u2014 LLRANDOMII, Naval Postgraduate School Technical Report NPS55-81-005, Monterey (1981).","DOI":"10.21236\/ADA101649"},{"key":"BF02411477_CR19","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/BF01150668","volume":"1","author":"M.F. McGrath","year":"1987","unstructured":"M.F. McGrath, D. Gross and N.D. Singpurwalla, A subjective approach to the theory of queues I-modeling, Queueing Systems 1 (1987) 317\u2013333.","journal-title":"Queueing Systems"},{"key":"BF02411477_CR20","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/BF01150669","volume":"1","author":"M.F. McGrath","year":"1987","unstructured":"M.F. McGrath and N.D. Singpurwalla, A subjective approach to the theory of queues II-inference and information inM\/M\/1 queues, Queueing Systems 1 (1987) 335\u2013353.","journal-title":"Queueing Systems"},{"key":"BF02411477_CR21","series-title":"Technical Report","volume-title":"Transient effects inM\/G\/1 queues: an empirical investigation","author":"M.R. Middleton","year":"1979","unstructured":"M.R. Middleton, Transient effects inM\/G\/1 queues: an empirical investigation, Technical Report No. 85, Department of Operations Research, Stanford University, Stanford, CA (1979)."},{"key":"BF02411477_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-5970-5","volume-title":"Applications of Queueing Theory","author":"G.F. Newell","year":"1982","unstructured":"G.F. Newell,Applications of Queueing Theory, 2nd ed. (Chapman and Hall, London, 1982).","edition":"2nd ed."},{"key":"BF02411477_CR23","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1287\/opre.31.3.432","volume":"31","author":"A.R. Odoni","year":"1983","unstructured":"A.R. Odoni and E. Roth, An empirical investigation of the transient behavior of stationary queueing systems, Oper. Res. 31 (1983) 432\u2013455.","journal-title":"Oper. Res."},{"key":"BF02411477_CR24","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0167-6377(82)90051-7","volume":"1","author":"L. Schruben","year":"1982","unstructured":"L. Schruben and R. Kulkarni, Some consequences of estimating parameters for theM\/M\/1 queue, Oper. Res. Lett. 1 (1982) 75\u201378.","journal-title":"Oper. Res. Lett."},{"key":"BF02411477_CR25","first-page":"47","volume":"13","author":"H. Stehfest","year":"1970","unstructured":"H. Stehfest, Algorithm 368, Numerical inversion of Laplace transforms, Comm. Assoc. Comput. Mach. 13 (1970) 47\u201349 [erratum 13 (1970) 624].","journal-title":"Comm. Assoc. Comput. Mach."},{"key":"BF02411477_CR26","volume-title":"Introduction to the Theory of Queues","author":"L. Takacs","year":"1962","unstructured":"L. Takacs,Introduction to the Theory of Queues (Oxford University Press, New York, 1962)."},{"key":"BF02411477_CR27","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/BF02411481","volume":"6","author":"J.F. Teugels","year":"1990","unstructured":"J.F. Teugels, The average waiting time as a measure of performance, Queueing Systems 6 (1990) 327\u2013334.","journal-title":"Queueing Systems"}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02411477.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02411477\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02411477","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T09:14:07Z","timestamp":1558084447000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02411477"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,12]]},"references-count":27,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1990,12]]}},"alternative-id":["BF02411477"],"URL":"https:\/\/doi.org\/10.1007\/bf02411477","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,12]]}}}