{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T15:29:27Z","timestamp":1759073367983},"reference-count":19,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1998,3,1]],"date-time":"1998-03-01T00:00:00Z","timestamp":888710400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Performance Evaluation"],"published-print":{"date-parts":[[1998,3]]},"DOI":"10.1016\/s0166-5316(97)00017-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T23:20:22Z","timestamp":1027639222000},"page":"83-99","source":"Crossref","is-referenced-by-count":8,"title":["Norton's equivalent for queueing networks comprised of quasireversible components linked by state-dependent routing"],"prefix":"10.1016","volume":"32","author":[{"given":"Richard J.","family":"Boucherie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0166-5316(97)00017-5_BIB1","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1109\/TSE.1982.235424","article-title":"An extension of Norton's theorem for queueing networks","volume":"8","author":"Balsamo","year":"1982","journal-title":"IEEE Trans. Software Engrg."},{"key":"10.1016\/S0166-5316(97)00017-5_BIB2","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1109\/TSE.1985.232194","article-title":"Product-form synthesis of queueing networks","volume":"11","author":"Balsamo","year":"1985","journal-title":"IEEE Trans. Software Engrg."},{"key":"10.1016\/S0166-5316(97)00017-5_BIB3","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1145\/321879.321887","article-title":"Open, closed and mixed networks of queues with different classes of customers","volume":"22","author":"Baskett","year":"1975","journal-title":"J. ACM"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB4","doi-asserted-by":"crossref","first-page":"152","DOI":"10.2307\/1427516","article-title":"Product forms for queueing networks with state-dependent multiple job transitions","volume":"23","author":"Boucherie","year":"1991","journal-title":"Adv. in Appl. Probab."},{"key":"10.1016\/S0166-5316(97)00017-5_BIB5","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1007\/BF01158934","article-title":"A generalization of Norton's theorem for queueing networks","volume":"13","author":"Boucherie","year":"1993","journal-title":"Queueing Systems"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB6","article-title":"On Norton 's theorem for multi-class queueing networks of quasi-reversible nodes","author":"Brandt","year":"1990"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB7","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1147\/rd.191.0036","article-title":"Parametric analysis of queueing networks","volume":"19","author":"Chandy","year":"1975","journal-title":"IBM J. Res. Develop."},{"key":"10.1016\/S0166-5316(97)00017-5_BIB8","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/BF02411466","article-title":"Networks of queues with batch arrivals and batch services","volume":"6","author":"Henderson","year":"1990","journal-title":"Queueing Systems"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB9","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/BF01225328","article-title":"An extension to Norton's equivalent","volume":"5","author":"Hsiao","year":"1989","journal-title":"Queueing Systems"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB10","author":"Kelly","year":"1979"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB11","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/0166-5316(82)90002-5","article-title":"A generalisation of Norton's theorem for multiclass queueing networks","volume":"2","author":"Kritzinger","year":"1982","journal-title":"Performance Evaluation"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB12","series-title":"Proc. 1986 ACM Sigmetrics Conf.","first-page":"78","article-title":"A BCMP extension to multiserver stations with concurrent classes of customers","volume":"14","author":"Le Boudec","year":"1986"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB13","first-page":"261","article-title":"Formule du produit et d\u00e9composition de r\u00e9saux de files d'attente","volume":"B-25","author":"Pellaumail","year":"1979","journal-title":"Ann. Inst. H. Poincar\u00e9"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB14","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/BF01149184","article-title":"Markovian network processes: Congestion-dependent routing and processing","volume":"5","author":"Serfozo","year":"1989","journal-title":"Queueing Systems"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB15","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1145\/322186.322196","article-title":"Queueing network models with state-dependent routing","volume":"27","author":"Towsley","year":"1980","journal-title":"J. ACM"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB16","article-title":"Product forms for queueing networks with limited clusters","author":"Van Dijk","year":"1991"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB17","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1145\/322092.322102","article-title":"Exact aggregation in exponential queueing networks","volume":"25","author":"Vantilborgh","year":"1978","journal-title":"J. ACM"},{"key":"10.1016\/S0166-5316(97)00017-5_BIB18","doi-asserted-by":"crossref","first-page":"442","DOI":"10.2307\/3213821","article-title":"A note on Norton's theorem for queueing networks","volume":"20","author":"Walrand","year":"1983","journal-title":"J. Appl. Probab."},{"key":"10.1016\/S0166-5316(97)00017-5_BIB19","author":"Whittle","year":"1986"}],"container-title":["Performance Evaluation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166531697000175?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166531697000175?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,18]],"date-time":"2019-04-18T06:23:32Z","timestamp":1555568612000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166531697000175"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,3]]},"references-count":19,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,3]]}},"alternative-id":["S0166531697000175"],"URL":"https:\/\/doi.org\/10.1016\/s0166-5316(97)00017-5","relation":{},"ISSN":["0166-5316"],"issn-type":[{"value":"0166-5316","type":"print"}],"subject":[],"published":{"date-parts":[[1998,3]]}}}