{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:37:37Z","timestamp":1772296657623,"version":"3.50.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"2-4","license":[{"start":{"date-parts":[[2013,2,21]],"date-time":"2013-02-21T00:00:00Z","timestamp":1361404800000},"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":[[2013,11]]},"DOI":"10.1007\/s11134-012-9340-8","type":"journal-article","created":{"date-parts":[[2013,2,20]],"date-time":"2013-02-20T04:05:31Z","timestamp":1361333131000},"page":"243-277","source":"Crossref","is-referenced-by-count":44,"title":["Gaussian skewness approximation for dynamic rate multi-server queues with abandonment"],"prefix":"10.1007","volume":"75","author":[{"given":"William A.","family":"Massey","sequence":"first","affiliation":[]},{"given":"Jamol","family":"Pender","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,2,21]]},"reference":[{"key":"9340_CR1","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1287\/opre.41.4.731","volume":"41","author":"S Eick","year":"1993","unstructured":"Eick, S., Massey, W.A., Whitt, W.: The physics of the $$M(t)\/G\/\\infty $$ queue. Oper. Res. 41, 400\u2013408 (1993)","journal-title":"Oper. Res."},{"key":"9340_CR2","unstructured":"Fedoryuk, M.V.: Hermite polynomials. In: Hazewinkel, M. Encyclopaedia of mathematics. Springer. ISBN 978-1556080104. http:\/\/eom.springer.de\/H\/h046980.htm (2001)"},{"issue":"2","key":"9340_CR3","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/BF01651330","volume":"22","author":"CM Fortuin","year":"1971","unstructured":"Fortuin, C.M., Kasteleyn, P.N., Ginibre, J.: Correlation inequalities for some partially ordered sets. Commun. Math. Phys. 22(2), 89\u2013103 (1971)","journal-title":"Commun. Math. Phys."},{"issue":"2","key":"9340_CR4","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1287\/msom.5.2.79.16071","volume":"5","author":"N Gans","year":"2003","unstructured":"Gans, N., Koole, G., Mandelbaum, A.: Telephone call centers: tutorial, review and research prospects. Manuf. Serv. Oper. Manag. 5(2), 79\u2013141 (2003)","journal-title":"Manuf. Serv. Oper. Manag."},{"key":"9340_CR5","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1287\/opre.29.3.567","volume":"29","author":"S Halfin","year":"1981","unstructured":"Halfin, S., Whitt, W.: Heavy-traffic limit theorems for queues with many exponential servers. Oper. Res. 29, 567\u2013588 (1981)","journal-title":"Oper. Res."},{"key":"9340_CR6","unstructured":"Hampshire, R.C.: Dynamic queueing models for the operations management of communication services. Ph.D. thesis, Princeton University (2007)"},{"issue":"2","key":"9340_CR7","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1017\/S0269964809000151","volume":"23","author":"RC Hampshire","year":"2009","unstructured":"Hampshire, R.C., Jennings, O.B., Massey, W.A.: A time varying call center design with Lagrangian mechanics. Probab. Eng. Inf. Sci. 23(2), 231\u2013259 (2009)","journal-title":"Probab. Eng. Inf. Sci."},{"issue":"2","key":"9340_CR8","first-page":"231","volume":"23","author":"RC Hampshire","year":"2010","unstructured":"Hampshire, R.C., Massey, W.A.: A tutorial on dynamic optimization and applications to queueing systems with time-varying rates. Tutor. Oper. Res. 23(2), 231\u2013259 (2010)","journal-title":"Tutor. Oper. Res."},{"key":"9340_CR9","volume-title":"C programming language","author":"BW Kernighan","year":"1988","unstructured":"Kernighan, B.W., Ritchie, D.M.: C programming language. PTR Prentice Hall, Englewood Cliffs (1988)"},{"key":"9340_CR10","unstructured":"Khintchine, A.Y.: Mathematical methods in the theory of queueing (in Russian), Trudy Mat Inst. Steklov Vol. 49 (1955) (English translation by Charles Griffin and Co., London, 1960)"},{"key":"9340_CR11","doi-asserted-by":"crossref","unstructured":"Ko, Y.M., Gautam, N.: Critically loaded time-varying multiserver queues: computational challenges and approximations. INFORMS J. Comput. (2012) to appear","DOI":"10.1287\/ijoc.1120.0502"},{"issue":"1","key":"9340_CR12","doi-asserted-by":"crossref","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":"9340_CR13","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1023\/A:1019112920622","volume":"30","author":"A Mandelbaum","year":"1998","unstructured":"Mandelbaum, A., Massey, W.A., Reiman, M.: Strong approximations for Markovian service networks. Queueing Syst. 30, 149\u2013201 (1998)","journal-title":"Queueing Syst."},{"key":"9340_CR14","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1023\/A:1020921829517","volume":"21","author":"A Mandelbaum","year":"2002","unstructured":"Mandelbaum, A., Massey, W.A., Reiman, M., Rider, B., Stolyar, A.: Queue lengths and waiting times for multi-server queues with abandonment and retrials. Telecommun. Syst. 21, 149\u2013172 (2002)","journal-title":"Telecommun. Syst."},{"issue":"2","key":"9340_CR15","first-page":"324","volume":"54","author":"WA Massey","year":"1985","unstructured":"Massey, W.A.: Asymptotic analysis of the time dependent M\/M\/1 queue. Math. Oper. Res. 54(2), 324\u2013338 (1985)","journal-title":"Math. Oper. Res."},{"key":"9340_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2437-0","volume-title":"The Malliavin calculus and related topics","author":"D Nualart","year":"1995","unstructured":"Nualart, D.: The Malliavin calculus and related topics. Springer, New York (1995)"},{"key":"9340_CR17","first-page":"1","volume":"44","author":"C Palm","year":"1943","unstructured":"Palm, C.: Intensity variations in telephone traffic. Ericsson Tech. 44, 1\u2013189 (1943)","journal-title":"Ericsson Tech."},{"key":"9340_CR18","doi-asserted-by":"crossref","first-page":"142","DOI":"10.4064\/sm-16-2-142-155","volume":"16","author":"A Pr\u00e9kopa","year":"1957","unstructured":"Pr\u00e9kopa, A.: On Poisson and composed Poisson stochastic set functions. Stud. Math. 16, 142\u2013155 (1957)","journal-title":"Stud. Math."},{"key":"9340_CR19","volume-title":"Simulation","author":"S Ross","year":"2006","unstructured":"Ross, S.: Simulation, 4th edn. Elsevier Academic Press, Amsterdam (2006)","edition":"4"},{"issue":"6","key":"9340_CR20","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1287\/mnsc.25.6.522","volume":"25","author":"MH Rothkopf","year":"1979","unstructured":"Rothkopf, M.H., Oren, S.S.: A closure approximation for the nonstationary $$M\/M\/s$$ queue. Manag. Sci. 25(6), 522\u2013534 (1979)","journal-title":"Manag. Sci."},{"key":"9340_CR21","unstructured":"Stein, C.M.: Approximate computation of expectations. Lecture notes monograph series, vol. 7. Institute of Mathematical Statistics, Hayward (1986)"},{"key":"9340_CR22","volume-title":"Nonlinear dynamics and chaos","author":"S Strogatz","year":"1994","unstructured":"Strogatz, S.: Nonlinear dynamics and chaos. Westview Press, Boulder (1994)"},{"key":"9340_CR23","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/BF02187085","volume":"8","author":"MR Taaffe","year":"1987","unstructured":"Taaffe, M.R., Ong, K.L.: Approximating nonstationary $$Ph(t)\/M(t)\/s\/c$$ queueing systems. Ann. Oper. Res. 8, 103\u2013116 (1987)","journal-title":"Ann. Oper. Res."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-012-9340-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11134-012-9340-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-012-9340-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,9]],"date-time":"2019-07-09T22:59:09Z","timestamp":1562713149000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11134-012-9340-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,2,21]]},"references-count":23,"journal-issue":{"issue":"2-4","published-print":{"date-parts":[[2013,11]]}},"alternative-id":["9340"],"URL":"https:\/\/doi.org\/10.1007\/s11134-012-9340-8","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,2,21]]}}}