{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T06:48:11Z","timestamp":1760424491830},"reference-count":36,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1993,11,1]],"date-time":"1993-11-01T00:00:00Z","timestamp":752112000000},"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":[[1993,11]]},"DOI":"10.1016\/0166-5316(93)90017-o","type":"journal-article","created":{"date-parts":[[2003,8,8]],"date-time":"2003-08-08T02:10:42Z","timestamp":1060308642000},"page":"205-224","source":"Crossref","is-referenced-by-count":30,"title":["A unified view of product-form approximation techniques for general closed queueing networks"],"prefix":"10.1016","volume":"18","author":[{"given":"Bruno","family":"Baynat","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yves","family":"Dallery","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"6","key":"10.1016\/0166-5316(93)90017-O_BIB1","doi-asserted-by":"crossref","first-page":"1212","DOI":"10.1287\/opre.21.6.1212","article-title":"Approximate queueing models for multiprogramming computer systems","volume":"21","author":"Avi-Itzhak","year":"1973","journal-title":"Oper. Res."},{"issue":"4","key":"10.1016\/0166-5316(93)90017-O_BIB2","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 Eng."},{"issue":"2","key":"10.1016\/0166-5316(93)90017-O_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\/0166-5316(93)90017-O_BIB4","doi-asserted-by":"crossref","unstructured":"B. Baynat and Y. Dallery, Approximate techniques for general closed queueing networks with subnetworks having population constraints. Europ. J. Oper. Res., to appear.","DOI":"10.1016\/0377-2217(93)90169-N"},{"key":"10.1016\/0166-5316(93)90017-O_BIB5","article-title":"Une m\u00e9thode approximative d'analyse des r\u00e9seaux de files d'attente ferm\u00e9s multiclasses","author":"Baynat","year":"1991"},{"issue":"3","key":"10.1016\/0166-5316(93)90017-O_BIB6","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/0166-5316(85)90011-2","article-title":"Equivalence and decomposition in queueing systems-a unified approach","volume":"5","author":"Brandwajn","year":"1985","journal-title":"Performance Evaluation"},{"key":"10.1016\/0166-5316(93)90017-O_BIB7","series-title":"Computational Algorithms for Closed Queueing Networks","author":"Bruel","year":"1980"},{"issue":"9","key":"10.1016\/0166-5316(93)90017-O_BIB8","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1145\/362342.362345","article-title":"Computational algorithms for closed queueing networks with exponential servers","volume":"16","author":"Buzen","year":"1973","journal-title":"Comm. ACM"},{"issue":"1","key":"10.1016\/0166-5316(93)90017-O_BIB9","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1147\/rd.191.0036","article-title":"Parametric analysis of queuing networks","volume":"19","author":"Chandy","year":"1975","journal-title":"IBM J. Res. Develop."},{"key":"10.1016\/0166-5316(93)90017-O_BIB10","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1145\/359015.359020","article-title":"Computational algorithms for product form queueing networks","volume":"23","author":"Chandy","year":"1980","journal-title":"Comm. ACM"},{"key":"10.1016\/0166-5316(93)90017-O_BIB11","series-title":"Decomposability: Queueing and Computer System Applications","author":"Courtois","year":"1977"},{"issue":"3","key":"10.1016\/0166-5316(93)90017-O_BIB12","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/0166-5316(90)90013-9","article-title":"Approximate analysis of general open queuing networks with restricted capacity","volume":"11","author":"Dallery","year":"1990","journal-title":"Performance Evaluation"},{"key":"10.1016\/0166-5316(93)90017-O_BIB13","series-title":"Proc. IEEE International Conference on Robotics and Automation","article-title":"A queueing network model for flexible manufacturing systems consisting of cells","author":"Dallery","year":"1986"},{"issue":"1","key":"10.1016\/0166-5316(93)90017-O_BIB14","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0166-5316(92)90019-D","article-title":"Operational analysis of stochastic closed queueing networks","volume":"14","author":"Dallery","year":"1992","journal-title":"Performance Evaluation"},{"key":"10.1016\/0166-5316(93)90017-O_BIB15","series-title":"Performance '84, Models of Computer Systems Performance","first-page":"119","article-title":"Some new results on operational analysis","author":"Dallery","year":"1985"},{"issue":"3","key":"10.1016\/0166-5316(93)90017-O_BIB16","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1145\/356733.356735","article-title":"The operational analysis of queueing network models","volume":"10","author":"Denning","year":"1978","journal-title":"Comput. Surveys"},{"issue":"3","key":"10.1016\/0166-5316(93)90017-O_BIB17","first-page":"187","article-title":"R\u00e9seaux de files d'attente avec s\u00e9maphores","volume":"5","author":"Fdida","year":"1986","journal-title":"TSI"},{"issue":"3","key":"10.1016\/0166-5316(93)90017-O_BIB18","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1109\/26.48888","article-title":"Semaphore queues: modeling multilayered window flow control mechanisms","volume":"38","author":"Fdida","year":"1990","journal-title":"IEEE Trans. Comm."},{"issue":"2","key":"10.1016\/0166-5316(93)90017-O_BIB19","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1287\/opre.15.2.254","article-title":"Closed queueing networks with exponential servers","volume":"5","author":"Gordon","year":"1967","journal-title":"Oper. Res."},{"issue":"1","key":"10.1016\/0166-5316(93)90017-O_BIB20","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1287\/mnsc.10.1.131","article-title":"Jobshop-like queueing systems","volume":"10","author":"Jackson","year":"1963","journal-title":"Manage. Sci."},{"key":"10.1016\/0166-5316(93)90017-O_BIB21","series-title":"Finite Markov Chains","author":"Kemeny","year":"1960"},{"issue":"1","key":"10.1016\/0166-5316(93)90017-O_BIB22","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1109\/TCOM.1979.1094270","article-title":"Approximate analysis of general queuing networks by decomposition","volume":"27","author":"Kuehn","year":"1979","journal-title":"IEEE Trans. Comm."},{"issue":"4","key":"10.1016\/0166-5316(93)90017-O_BIB23","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1109\/TSE.1980.234493","article-title":"Isolation method in a network of queues","volume":"6","author":"Labetoulle","year":"1980","journal-title":"IEEE Trans. Software Eng."},{"key":"10.1016\/0166-5316(93)90017-O_BIB24","article-title":"Quantitative System Performance: Computer System Analysis Using Queueing Network Models","author":"Lazowska","year":"1984"},{"issue":"5","key":"10.1016\/0166-5316(93)90017-O_BIB25","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1109\/TSE.1979.234214","article-title":"An approximate analytical method for general queueing networks","volume":"5","author":"Marie","year":"1979","journal-title":"IEEE Trans. Software Eng."},{"key":"10.1016\/0166-5316(93)90017-O_BIB26","series-title":"Mathematical computer Performance and Reliability","first-page":"123","article-title":"On the existence and uniqueness of the homogeneous network","author":"Marie","year":"1984"},{"issue":"4","key":"10.1016\/0166-5316(93)90017-O_BIB27","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1145\/1035332.1035321","article-title":"Extensions and computational aspects of an iterative method","volume":"11","author":"Marie","year":"1982","journal-title":"ACM Sigmetrics Performance Evaluation Rev."},{"key":"10.1016\/0166-5316(93)90017-O_BIB28","series-title":"Stochastic Analysis of Computer and Communication Systems","first-page":"451","article-title":"Open queueing networks with blocking","author":"Perros","year":"1990"},{"issue":"1","key":"10.1016\/0166-5316(93)90017-O_BIB29","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/0166-5316(81)90040-7","article-title":"Mean-value analysis and convolution method for queue-dependent servers in closed queueing networks","volume":"1","author":"Reiser","year":"1981","journal-title":"Performance Evaluation"},{"issue":"2","key":"10.1016\/0166-5316(93)90017-O_BIB30","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1145\/322186.322195","article-title":"Mean value analysis of closed multichain queueing networks","volume":"27","author":"Reiser","year":"1980","journal-title":"J. ACM"},{"key":"10.1016\/0166-5316(93)90017-O_BIB31_1","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1145\/357353.357359","article-title":"Computational algorithms for state-dependent queueing networks","volume":"1","author":"Sauer","year":"1983","journal-title":"ACM Trans. Comput. Systems"},{"issue":"4","key":"10.1016\/0166-5316(93)90017-O_BIB31_2","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1145\/357377.357385","article-title":"Computational algorithms for state-dependent queueing networks","volume":"1","author":"Sauer","year":"1983","journal-title":"ACM Trans. Comput. Systems"},{"key":"10.1016\/0166-5316(93)90017-O_BIB32","series-title":"Computer Systems Performance Modeling","author":"Sauer","year":"1981"},{"issue":"2","key":"10.1016\/0166-5316(93)90017-O_BIB33","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1145\/322186.322196","article-title":"Queueing network models with state-dependent routing","volume":"27","author":"Towsley","year":"1980","journal-title":"J. ACM"},{"issue":"9","key":"10.1016\/0166-5316(93)90017-O_BIB34","doi-asserted-by":"crossref","first-page":"2779","DOI":"10.1002\/j.1538-7305.1983.tb03204.x","article-title":"The queueing network analyzer","volume":"62","author":"Whitt","year":"1983","journal-title":"Bell Systems Tech. J."},{"key":"10.1016\/0166-5316(93)90017-O_BIB35","article-title":"Queueing models of flexble manufacturing","author":"Yao","year":"1983"}],"container-title":["Performance Evaluation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:016653169390017O?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:016653169390017O?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,14]],"date-time":"2019-03-14T21:20:09Z","timestamp":1552598409000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/016653169390017O"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,11]]},"references-count":36,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1993,11]]}},"alternative-id":["016653169390017O"],"URL":"https:\/\/doi.org\/10.1016\/0166-5316(93)90017-o","relation":{},"ISSN":["0166-5316"],"issn-type":[{"value":"0166-5316","type":"print"}],"subject":[],"published":{"date-parts":[[1993,11]]}}}