{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:15:04Z","timestamp":1773656104782,"version":"3.50.1"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[1990,9,1]],"date-time":"1990-09-01T00:00:00Z","timestamp":652147200000},"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":[[1990,9]]},"DOI":"10.1007\/bf01154545","type":"journal-article","created":{"date-parts":[[2005,3,25]],"date-time":"2005-03-25T07:54:55Z","timestamp":1111737295000},"page":"253-268","source":"Crossref","is-referenced-by-count":15,"title":["Two queues with alternating service and server breakdown"],"prefix":"10.1007","volume":"7","author":[{"given":"Oliver C.","family":"Ibe","sequence":"first","affiliation":[]},{"given":"Kishor S.","family":"Trivedi","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","unstructured":"ANSI\/IEEE Standard 802.4: Token-Passing Bus Access Method (IEEE Press, 1985)."},{"key":"CR2","unstructured":"ANSI\/IEEE Standard 802.5: Token Ring Access Method (IEEE Press, 1985)."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1002\/j.1538-7305.1970.tb01778.x","volume":"49","author":"R.B. Cooper","year":"1970","unstructured":"R.B. Cooper, Queues served in cyclic order: waiting times, The Bell System Tech. J. 49 (1970) 399?413.","journal-title":"The Bell System Tech. J."},{"key":"CR4","first-page":"189","volume":"20","author":"O. Hashida","year":"1972","unstructured":"O. Hashida, Analysis of multiqueue, Rev. Elect. Commun. Lab. 20 (1972) 189?199.","journal-title":"Rev. Elect. Commun. Lab."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1145\/321832.321845","volume":"21","author":"A.G. Konheim","year":"1974","unstructured":"A.G. Konheim and B. Meister, Waiting line and times in a system with polling, J. ACM 21 (1974) 470?490.","journal-title":"J. ACM"},{"key":"CR6","first-page":"600","volume":"J61-B","author":"M. Nomura","year":"1978","unstructured":"M. Nomura and K. Tsukamoto, Traffic analysis on polling systems, The Trans. Inst. Elect. Commun. Eng. Japan J61-B (1978) 600?607.","journal-title":"The Trans. Inst. Elect. Commun. Eng. Japan"},{"key":"CR7","volume-title":"Report ESL-R-798","author":"P.A. Humblet","year":"1978","unstructured":"P.A. Humblet, Source coding for communication concentrators, Report ESL-R-798, Electronic Systems Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139 (January 1978)."},{"key":"CR8","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1002\/j.1538-7305.1979.tb02239.x","volume":"58","author":"P.J. Kuehn","year":"1979","unstructured":"P.J. Kuehn, Multiqueue systems with nonexhaustive cyclic service, The Bell System Tech. J. 58 (1979) 671?698.","journal-title":"The Bell System Tech. J."},{"key":"CR9","doi-asserted-by":"crossref","unstructured":"H. Takagi, On the analysis of a symmetric polling system with single-message buffers, Performance Evaluation (1985) 149?157.","DOI":"10.1016\/0166-5316(85)90009-4"},{"key":"CR10","doi-asserted-by":"crossref","unstructured":"H. Takagi, Mean message waiting times in symmetric multiqueue systems with cyclic service, Performance Evaluation (1985) 271?277.","DOI":"10.1016\/0166-5316(85)90027-6"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1109\/JSAC.1983.1145983","volume":"SAC-1","author":"I. Rubin","year":"1983","unstructured":"I. Rubin and L.F.M. de Moraes, Message delay analysis for polling and token multiple access schemes for local communication networks, IEEE J. Selected Areas Commun. SAC-1 (1983) 935?947.","journal-title":"IEEE J. Selected Areas Commun."},{"key":"CR12","doi-asserted-by":"crossref","unstructured":"S.W. Fuhrmann, Symmetric queues served in cyclic order, Oper. Res. Lett. (1985) 139?144.","DOI":"10.1016\/0167-6377(85)90019-7"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1109\/TCOM.1985.1096285","volume":"COM-33","author":"M.J. Ferguson","year":"1985","unstructured":"M.J. Ferguson and Y.J. Aminetzah, Exact results for asymmetric single-service token-passing systems, IEEE Trans. Commun. COM-33 (1985) 223?231.","journal-title":"IEEE Trans. Commun."},{"key":"CR14","unstructured":"K.S. Watson, Performance evaluation of cyclic service strategies ? a survey, in:Performance '84, E. Gelenbe (ed.) (North-Holland, 1984) pp. 521?533."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0166-5316(87)90015-0","volume":"7","author":"O.J. Boxma","year":"1987","unstructured":"O.J. Boxma and B. Meister, Waiting-time approximations for cyclic-service systems with switchover times, Performance Evaluation 7 (1987) 299?308.","journal-title":"Performance Evaluation"},{"key":"CR16","doi-asserted-by":"crossref","first-page":"1119","DOI":"10.1109\/26.7529","volume":"36","author":"T. Takine","year":"1988","unstructured":"T. Takine, Y. Takahashi and T. Hasegawa, Exact analysis of asymmetric polling systems with single buffers, IEEE Trans. Commun. 36 (1988) 1119?1127.","journal-title":"IEEE Trans. Commun."},{"key":"CR17","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1109\/26.31141","volume":"37","author":"O.C. Ibe","year":"1989","unstructured":"O.C. Ibe and X. Cheng, Approximate analysis of asymmetric single-service token-passing systems, IEEE Trans. Commun. 37 (1989) 572?577.","journal-title":"IEEE Trans. Commun."},{"key":"CR18","doi-asserted-by":"crossref","unstructured":"O.C. Ibe and X. Cheng, Performance analysis of asymmetric single-buffer polling systems, Performance Evaluation (1989) 1?14.","DOI":"10.1016\/0166-5316(89)90002-3"},{"key":"CR19","volume-title":"Analysis of Polling Systems","author":"H. Takagi","year":"1986","unstructured":"H. Takagi,Analysis of Polling Systems (The MIT Press, Cambridge, MA, 1986)."},{"key":"CR20","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1287\/opre.6.1.79","volume":"6","author":"H.C. White","year":"1958","unstructured":"H.C. White and L.S. Christie, Queueing with preemptive priorities or with breakdown, Oper. Res. 6 (1958) 79?95.","journal-title":"Oper. Res."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1111\/j.2517-6161.1962.tb00438.x","volume":"B24","author":"D.P. Gaver Jr.","year":"1962","unstructured":"D.P. Gaver, Jr., A waiting line with interrupted service, including priorities, J. Roy. Stat. Soc. B24 (1962) 73?90.","journal-title":"J. Roy. Stat. Soc."},{"key":"CR22","doi-asserted-by":"crossref","first-page":"628","DOI":"10.1287\/opre.16.3.628","volume":"16","author":"L.L. Mitrani","year":"1979","unstructured":"L.L. Mitrani and B. Avi-Itzhak, A many server queue with service interruptions, Oper. Res. 16 (1979) 628?638.","journal-title":"Oper. Res."},{"key":"CR23","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1287\/mnsc.25.9.849","volume":"25","author":"M.F. Neuts","year":"1979","unstructured":"M.F. Neuts and D. Lucantoni, A Markovian queue withN servers subject to breakdowns and repairs, Mgmt Sci. 25 (1979) 849?861.","journal-title":"Mgmt Sci."},{"key":"CR24","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1007\/BF00267867","volume":"23","author":"V.F. Nicola","year":"1986","unstructured":"V.F. Nicola, A single server queue with mixed types of interruptions, Acta Informatica 23 (1986) 465?486.","journal-title":"Acta Informatica"},{"key":"CR25","doi-asserted-by":"crossref","unstructured":"V.G. Kulkarni, V.F. Nicola and K.S. Trivedi, On modeling the performance and reliability of multimode computer systems, J. Systems and Software (1986) 175?182.","DOI":"10.1016\/0164-1212(86)90038-5"},{"key":"CR26","doi-asserted-by":"crossref","first-page":"932","DOI":"10.2307\/1427109","volume":"19","author":"V.G. Kulkarni","year":"1987","unstructured":"V.G. Kulkarni, V.F. Nicola and K.S. Trivedi, The completion time of a job in multimode systems, Adv. Appl. Prob. 19 (1987) 932?954.","journal-title":"Adv. Appl. Prob."},{"key":"CR27","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1109\/TSE.1987.233168","volume":"SE-13","author":"V.F. Nicola","year":"1987","unstructured":"V.F. Nicola, V.G. Kulkarni and K.S. Trivedi, Queueing analysis of fault-tolerant computer systems, IEEE Trans. Software Engr. SE-13 (1987) 363?375.","journal-title":"IEEE Trans. Software Engr."},{"key":"CR28","volume-title":"Communication Nets: Stochastic Message Flow and Delay","author":"L. Kleinrock","year":"1964","unstructured":"L. Kleinrock,Communication Nets: Stochastic Message Flow and Delay (McGraw-Hill, New York, 1964)."},{"key":"CR29","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1287\/opre.30.2.223","volume":"30","author":"R.W. Wolff","year":"1982","unstructured":"R.W. Wolff, Poisson arrivals see time averages, Oper. Res. 30 (1982) 223?231.","journal-title":"Oper. Res."},{"key":"CR30","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1287\/opre.9.3.383","volume":"9","author":"J.D.C. Little","year":"1961","unstructured":"J.D.C. Little, A proof of the queueing formulaL=?W, Oper. Res. 9 (1961) 383?387.","journal-title":"Oper. Res."},{"key":"CR31","unstructured":"SIMSCRIPT II.5 Programming Language (CACI, Inc., Los Angeles, 1983)."},{"key":"CR32","volume-title":"Numerical Methods for Stiff Equations","author":"W.L. Miranker","year":"1981","unstructured":"W.L. Miranker,Numerical Methods for Stiff Equations (D. Reidel, Dordrecht, 1981)."},{"key":"CR33","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1109\/TC.1982.1676110","volume":"C-31","author":"M.K. Molloy","year":"1982","unstructured":"M.K. Molloy, Performance analysis using stochastic Petri nets, IEEE Trans. Computers C-31 (1982) 913?917.","journal-title":"IEEE Trans. Computers"},{"key":"CR34","doi-asserted-by":"crossref","unstructured":"M.A. Marsan, G. Conte and G. Balbo, A class of generalized stochastic Petri nets for the performance evaluation of multiprocessor systems, ACM Trans. Computer Syst. (1984) 93?122.","DOI":"10.1145\/190.191"},{"key":"CR35","first-page":"142","volume-title":"Proc. 3rd Int. Workshop on Petri Nets and Performance Models","author":"G. Ciardo","year":"1989","unstructured":"G. Ciardo, J. Muppala and K.S. Trivedi, SPNP: stochastic Petri net package,Proc. 3rd Int. Workshop on Petri Nets and Performance Models, Kyoto, Japan (December 1989) pp. 142?151."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01154545.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01154545\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01154545","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,28]],"date-time":"2024-12-28T20:42:09Z","timestamp":1735418529000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01154545"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,9]]},"references-count":35,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[1990,9]]}},"alternative-id":["BF01154545"],"URL":"https:\/\/doi.org\/10.1007\/bf01154545","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,9]]}}}