{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T17:21:04Z","timestamp":1776187264193,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2001,7,1]],"date-time":"2001-07-01T00:00:00Z","timestamp":993945600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2001,7,1]],"date-time":"2001-07-01T00:00:00Z","timestamp":993945600000},"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":["Discrete Event Dynamic Systems"],"published-print":{"date-parts":[[2001,7]]},"DOI":"10.1023\/a:1011257222927","type":"journal-article","created":{"date-parts":[[2002,12,23]],"date-time":"2002-12-23T04:18:21Z","timestamp":1040617101000},"page":"249-282","source":"Crossref","is-referenced-by-count":29,"title":["Variational Bounds and Sensitivity Analysis of Traffic Processes in Continuous Flow Models"],"prefix":"10.1007","volume":"11","author":[{"given":"Y.","family":"Wardi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B.","family":"Melamed","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"336273_CR1","doi-asserted-by":"crossref","first-page":"1871","DOI":"10.1002\/j.1538-7305.1982.tb03089.x","volume":"61","author":"D. Anick","year":"1982","unstructured":"Anick, D., Mitra, D., and Sondhi, M. M. 1982. Stochastic theory of a data-handling system with multiple sources. The Bell System Technical Journal 61: 1871\u20131894.","journal-title":"The Bell System Technical Journal"},{"key":"336273_CR2","doi-asserted-by":"crossref","first-page":"1107","DOI":"10.1287\/opre.40.6.1107","volume":"40","author":"M. Caramanis","year":"1992","unstructured":"Caramanis, M., and Liberopoulos, G. 1992. Perturbation analysis for the design of flexible manufacturing system flow controllers. Operations Research 40: 1107\u20131125.","journal-title":"Operations Research"},{"key":"336273_CR3","volume-title":"Discrete Event Systems: Modeling and Performance Analysis","author":"C. G. Cassandras","year":"1993","unstructured":"Cassandras, C. G. 1993. Discrete Event Systems: Modeling and Performance Analysis. Boston, MA: Aksen Associates Publishers, Irwin."},{"key":"336273_CR4","volume-title":"Perturbation Analysis of Discrete Event Dynamic Systems","author":"Y. C. Ho","year":"1991","unstructured":"Ho, Y. C., and Cao, X. R. 1991. Perturbation Analysis of Discrete Event Dynamic Systems. Boston, MA: Kluwer Academic Publishers."},{"key":"336273_CR5","first-page":"2013","volume":"3","author":"G. Keisidis","year":"1996","unstructured":"Keisidis, G., Singh, A., Cheung, D., and Kwok, W. W. 1996. Feasibility of fluid-driven simulation for ATM network. Proc. IEEE Globecom 3: 2013\u20132017, November.","journal-title":"Proc. IEEE Globecom"},{"key":"336273_CR6","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1080\/05695558308974659","volume":"15","author":"J. Kimemia","year":"1983","unstructured":"Kimemia, J., and Gershwin, S. 1983. Analgorithm for the computer control of production in flexible manufacturing systems. IIE Transactions 15: 353\u2013362.","journal-title":"IIE Transactions"},{"key":"336273_CR7","first-page":"1266","volume":"E75-B","author":"H. Kobayashi","year":"1992","unstructured":"Kobayashi, H., and Ren, Q. 1992. A mathematical theory for transient analysis of communications networks. IEICE Transactions on Communications E75-B: 1266\u20131276.","journal-title":"IEICE Transactions on Communications"},{"key":"336273_CR8","unstructured":"Kumaran, K., and Mitra, D. 1998. Performance and fluid simulations of a novel shared buffer management systems. Proc. IEEE INFOCOM, March."},{"key":"336273_CR9","doi-asserted-by":"crossref","first-page":"1018","DOI":"10.1109\/9.388679","volume":"40","author":"G. Liberopoulos","year":"1995","unstructured":"Liberopoulos, G., and Caramanis, M. 1995. Dynamics and design of a class of parametrized manufacturing flow controllers. IEEE Transactions on Automatic Control 40: 1018\u20131028.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"336273_CR10","unstructured":"Liu, B., Guo, Y., Kurose, J., Towsley, D., and Gong, W. B. 1999. Fluid simulation of large scale networks: Issues and tradeoffs. Proc. Intl. Conf. on Parallel and Distributed Processing Techniques and Applications Las Vegas, Nevada, June."},{"key":"336273_CR11","unstructured":"Miyoshi, N. 1998. Sensitivity estimation of the cell-delay in the leaky bucket traffic filter with stationary gradual input. Proc. Intl. Workshop on Discrete Event Systems, WoDES' 98 Cagliari, Italy, pp. 190\u2013195, August 26-28."},{"key":"336273_CR12","first-page":"137","volume":"75","author":"E. L. Plambeck","year":"1996","unstructured":"Plambeck, E. L., Fu, B.-R., Robinson, S. M., and Suri, R. 1996. Sample-path optimization of convex stochastic performance functions. Mathematical Programming 75: 137\u2013176.","journal-title":"Mathematical Programming"},{"key":"336273_CR13","volume-title":"Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method","author":"R. Y. Rubinstein","year":"1993","unstructured":"Rubinstein, R. Y., and Shapiro, A. 1993. Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method. New York, NY: John Wiley and Sons."},{"key":"336273_CR14","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1023\/A:1008345330312","volume":"9","author":"L. Shi","year":"1999","unstructured":"Shi, L., Fu, B.-R., and Suri, R. 1999. Sample path analysis for continuous tandem production lines. Journal of Discrete Event Dynamic Systems 9: 211\u2013239.","journal-title":"Journal of Discrete Event Dynamic Systems"},{"key":"336273_CR15","doi-asserted-by":"crossref","unstructured":"Suri, R., and Fu, B.-R. 1991. On using continuous flow lines for performance estimation of discrete production lines. Proc. 1991 Winter Simulation Conference Piscataway, NJ, pp. 968\u2013977.","DOI":"10.1109\/WSC.1991.185712"},{"key":"336273_CR16","unstructured":"Suri, R., and Fu, B.-R. 1993. Using continuous flow models to enable rapid analysis and optimization of discrete production lines\u2013A progress report. Proc. of the 19th Annual NSF Grantees Conference on Design and Manufacturing Systems Research Charlotte, NC, pp. 1229\u20131238."},{"key":"336273_CR17","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF01441209","volume":"4","author":"R. Suri","year":"1994","unstructured":"Suri, R., and Fu, B.-R. 1994. On using continuous flow lines to model discrete production lines. Journal of Discrete Event Dynamic Systems: Theory and Applications 4: 127\u2013169.","journal-title":"Journal of Discrete Event Dynamic Systems: Theory and Applications"},{"key":"336273_CR18","unstructured":"Wardi, Y., and Melamed, B. 1994. IPA gradient estimation for the loss volume in continuous flow models. Proc. of the HongKong InternationalWorkshop on NewDirections of Control and Manufacturing HongKong, pp. 30\u201333, November."},{"key":"336273_CR19","first-page":"393","volume":"1","author":"Y. Wardi","year":"1992","unstructured":"Wardi, Y., Gong, W. B., Cassandras, C. G., and Kallmes, M. H. 1992. Smooth perturbation analysis for a class of piecewise constant sample performance functions. Journal of Discrete Event Dynamic Systems 1: 393\u2013414.","journal-title":"Journal of Discrete Event Dynamic Systems"},{"key":"336273_CR20","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/BF00939941","volume":"68","author":"Y. Wardi","year":"1990","unstructured":"Wardi, Y., Zazanis, M. A., and Luo, M. 1990. Consistency of perturbation analysis for a queue with finite buffer and loss policy. Journal of Optimization Theory and Applications 68: 181\u2013202.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"336273_CR21","unstructured":"Xie, X. L. 1998. Fluid stochastic event graphs for evaluation and optimization of discrete event systems with failures. Submitted."},{"key":"336273_CR22","unstructured":"Xie, X. L. 1998. Evaluation and optimization of two-stage continuous transfer lines subject to time-dependent failures. Proc. Intl.Workshop on Discrete Event Systems,WoDES'98 Cagliari, Italy, pp. 112\u2013117, August 26-28."},{"key":"336273_CR23","doi-asserted-by":"crossref","first-page":"1588","DOI":"10.1109\/18.771162","volume":"45","author":"A. Yan","year":"1999","unstructured":"Yan, A., and Gong, W. B. 1999. Fluid simulation for high speed networks with flow-based routing. IEEE Trans. on Information Theory 45: 1588\u20131599.","journal-title":"IEEE Trans. on Information Theory"},{"key":"336273_CR24","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/BF02207640","volume":"83","author":"H. Yan","year":"1994","unstructured":"Yan, H., Yin, G., and Lou, S. X. C. 1994. Using stochastic optimization to determine threshold values for the control of unreliable manufacturing systems. Journal of Optimization Theory and Applications 83: 511\u2013539.","journal-title":"Journal of Optimization Theory and Applications"}],"container-title":["Discrete Event Dynamic Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011257222927.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1011257222927\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011257222927.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T04:22:13Z","timestamp":1753762933000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1011257222927"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,7]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2001,7]]}},"alternative-id":["336273"],"URL":"https:\/\/doi.org\/10.1023\/a:1011257222927","relation":{},"ISSN":["0924-6703","1573-7594"],"issn-type":[{"value":"0924-6703","type":"print"},{"value":"1573-7594","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,7]]}}}