{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T07:07:55Z","timestamp":1776755275438,"version":"3.51.2"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1-4","license":[{"start":{"date-parts":[[2002,4,1]],"date-time":"2002-04-01T00:00:00Z","timestamp":1017619200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,4,1]],"date-time":"2002-04-01T00:00:00Z","timestamp":1017619200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Annals of Operations Research"],"published-print":{"date-parts":[[2002,4]]},"DOI":"10.1023\/a:1020933122382","type":"journal-article","created":{"date-parts":[[2003,3,21]],"date-time":"2003-03-21T00:19:47Z","timestamp":1048205987000},"page":"139-152","source":"Crossref","is-referenced-by-count":19,"title":["An Eigenvalue Approach to Analyzing a Finite Source Priority Queueing Model"],"prefix":"10.1007","volume":"112","author":[{"given":"Steve","family":"Drekic","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Winfried K.","family":"Grassmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5099791_CR1","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1002\/(SICI)1520-6750(199802)45:1<23::AID-NAV2>3.0.CO;2-N","volume":"45","author":"A.S. Alfa","year":"1998","unstructured":"A.S. Alfa, Matrix-geometric solution of discrete time MAP\/PH\/1 priority queue, Naval Research Logistics 45 (1998) 23-50.","journal-title":"Naval Research Logistics"},{"key":"5099791_CR2","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1287\/opre.38.1.139","volume":"38","author":"D. Bertsimas","year":"1990","unstructured":"D. Bertsimas, An analytic approach to a general class of G\/G\/s queueing systems, Operations Research 38 (1990) 139-155.","journal-title":"Operations Research"},{"key":"5099791_CR3","volume-title":"NumericalMethods with Fortran IV Case Studies","author":"W.S. Dorn","year":"1972","unstructured":"W.S. Dorn and D.D. McCracken, NumericalMethods with Fortran IV Case Studies (Wiley, New York, 1972)."},{"key":"5099791_CR4","doi-asserted-by":"crossref","first-page":"852","DOI":"10.2307\/1427364","volume":"20","author":"H.R. Gail","year":"1988","unstructured":"H.R. Gail, S.L. Hantler and B.A. Taylor, Analysis of a non-preemptive priority multiserver queue, Advances in Applied Probability 20 (1988) 852-879.","journal-title":"Advances in Applied Probability"},{"key":"5099791_CR5","volume-title":"Analysis and Synthesis of Computer Systems","author":"E. Gelenbe","year":"1980","unstructured":"E. Gelenbe and I. Mitrani, Analysis and Synthesis of Computer Systems (Academic Press, London, 1980)."},{"key":"5099791_CR6","volume-title":"Matrix Polynomials","author":"P. Gohberg","year":"1982","unstructured":"P. Gohberg, P. Lancaster and L. Rodman, Matrix Polynomials (Academic Press, New York, 1982)."},{"key":"5099791_CR7","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1023\/A:1019139405059","volume":"36","author":"W.K. Grassmann","year":"2000","unstructured":"W.K. Grassmann and S. Drekic, An analytical solution for a tandem queue with blocking, Queueing Systems 36 (2000) 221-235.","journal-title":"Queueing Systems"},{"key":"5099791_CR8","unstructured":"W.K. Grassmann and J. Tavakoli, A tandem queue with movable servers: an eigenvalue approach, Preprint (2001)."},{"key":"5099791_CR9","first-page":"36","volume-title":"Proc. of 7th International Workshop on Petri Nets and Performance Models, Saint Malo, France","author":"B.R. Haverkort","year":"1997","unstructured":"B.R. Haverkort and A. Ost, Steady-state analysis of infinite stochastic Petri nets: A comparison between the spectral expansion and the matrix-geometric method, in: Proc. of 7th International Workshop on Petri Nets and Performance Models, Saint Malo, France (IEEE Computer Society Press, Silver Spring, Maryland, 1997) pp. 36-45."},{"key":"5099791_CR10","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1287\/ijoc.2.3.211","volume":"2","author":"E.P.C. Kao","year":"1990","unstructured":"E.P.C. Kao and K.S. Narayanan, Computing steady-state probabilities of a non-preemptive priority multiserver queue, ORSA Journal of Computing 2 (1990) 211-218.","journal-title":"ORSA Journal of Computing"},{"key":"5099791_CR11","volume-title":"Queueing Systems, Volume II: Computer Applications","author":"L. Kleinrock","year":"1980","unstructured":"L. Kleinrock, Queueing Systems, Volume II: Computer Applications (Academic Press, London, 1980)."},{"key":"5099791_CR12","doi-asserted-by":"crossref","first-page":"650","DOI":"10.2307\/3214773","volume":"30","author":"G. Latouche","year":"1993","unstructured":"G. Latouche and V. Ramaswami, A logarithmic reduction algorithm for quasi-birth-death processes, Journal of Applied Probability 30 (1993) 650-674.","journal-title":"Journal of Applied Probability"},{"key":"5099791_CR13","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1287\/opre.29.5.945","volume":"29","author":"D.R. Miller","year":"1981","unstructured":"D.R. Miller, Computation of steady-state probabilities for M\/M\/1 priority queues, Operations Reserach 29 (1981) 945-958.","journal-title":"Operations Reserach"},{"key":"5099791_CR14","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/0166-5316(94)00025-F","volume":"23","author":"I. Mitrani","year":"1995","unstructured":"I. Mitrani and R. Chakka, Spectral expansion solution for a class of Markov models: Application and comparison with the matrix-geometric method, Performance Evaluation 23 (1995) 241-260.","journal-title":"Performance Evaluation"},{"key":"5099791_CR15","volume-title":"Queues, Inventories and Maintenance","author":"P.M. Morse","year":"1958","unstructured":"P.M. Morse, Queues, Inventories and Maintenance (Wiley, New York, 1958)."},{"key":"5099791_CR16","doi-asserted-by":"crossref","first-page":"291","DOI":"10.2307\/3212949","volume":"17","author":"M.F. Neuts","year":"1980","unstructured":"M.F. Neuts, The probabilistic significance of the rate matrix in matrix-geometric invariant vectors, Journal of Applied Probability 17 (1980) 291-296.","journal-title":"Journal of Applied Probability"},{"key":"5099791_CR17","volume-title":"Matrix Geometric Solutions in Stochastic Models-An Algorithmic Approach","author":"M.F. Neuts","year":"1981","unstructured":"M.F. Neuts, Matrix Geometric Solutions in Stochastic Models-An Algorithmic Approach (Dover, New York, 1981)."},{"key":"5099791_CR18","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1016\/S0927-0507(05)80094-5","volume-title":"Operations Research and the Public Sector","author":"W.P. Pierskalla","year":"1994","unstructured":"W.P. Pierskalla and D.J. Brailer, Applications of operations research in health care delivery, in: Operations Research and the Public Sector, eds. S.M. Pollack, M.H. Rothkopf and A. Barnett (North-Holland, Amsterdam, 1994) pp. 469-505."},{"key":"5099791_CR19","volume-title":"A Computer and Communications Network Performance Analysis Primer","author":"B.W. Stuck","year":"1985","unstructured":"B.W. Stuck and E. Arthurs, A Computer and Communications Network Performance Analysis Primer (Prentice-Hall, Englewood Cliffs, NJ, 1985)."},{"key":"5099791_CR20","volume-title":"Queueing Analysis: A Foundation of Performance Evaluation, Volume 1: Vacation and Priority Systems, Part 1","author":"H. Takagi","year":"1991","unstructured":"H. Takagi, Queueing Analysis: A Foundation of Performance Evaluation, Volume 1: Vacation and Priority Systems, Part 1 (North-Holland, Amsterdam, 1991)."},{"key":"5099791_CR21","volume-title":"Queueing Analysis: A Foundation of Performance Evaluation, Volume 2: Finite Systems","author":"H. Takagi","year":"1993","unstructured":"H. Takagi, Queueing Analysis: A Foundation of Performance Evaluation, Volume 2: Finite Systems (North-Holland, Amsterdam, 1993)."},{"key":"5099791_CR22","doi-asserted-by":"crossref","first-page":"266","DOI":"10.15807\/jorsj.39.266","volume":"39","author":"T. Takine","year":"1996","unstructured":"T. Takine, A nonpreemptive priority MAP\/G\/1 queue with two classes of customers, Journal of Operations Research Society of Japan 39 (1996) 266-290.","journal-title":"Journal of Operations Research Society of Japan"},{"key":"5099791_CR23","first-page":"341","volume-title":"Advances in Matrix Analytical Methods for Stochastic Models","author":"K. Wuyts","year":"1998","unstructured":"K. Wuyts and R.K. Boel, Efficient matrix-geometric methods for B_ISDN by using spectral decomposition of the rate matrix, in: Advances in Matrix Analytical Methods for Stochastic Models (Notable Publications, Neshanic Station, NJ, 1998) pp. 341-359."}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1020933122382.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1020933122382\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1020933122382.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,18]],"date-time":"2025-05-18T14:16:06Z","timestamp":1747577766000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1020933122382"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,4]]},"references-count":23,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2002,4]]}},"alternative-id":["5099791"],"URL":"https:\/\/doi.org\/10.1023\/a:1020933122382","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,4]]}}}