{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T13:55:50Z","timestamp":1761486950332,"version":"3.41.2"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2002,10,1]],"date-time":"2002-10-01T00:00:00Z","timestamp":1033430400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,10,1]],"date-time":"2002-10-01T00:00:00Z","timestamp":1033430400000},"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":[[2002,10]]},"DOI":"10.1023\/a:1019707508130","type":"journal-article","created":{"date-parts":[[2003,3,15]],"date-time":"2003-03-15T08:06:01Z","timestamp":1047715561000},"page":"391-416","source":"Crossref","is-referenced-by-count":17,"title":["Perturbation Analysis for Stochastic Fluid Queueing Systems"],"prefix":"10.1007","volume":"12","author":[{"given":"Yong","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weibo","family":"Gong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"8","key":"5094314_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 HP. 61(8): 1871\u20131894.","journal-title":"The Bell System Technical Journal"},{"key":"5094314_CR2","volume-title":"Lectures in Applied Mathematics","author":"K. J. Arrow","year":"1968","unstructured":"Arrow, K. J. 1968. Applications of control theory to economic growth. Lectures in Applied Mathematics, 12. Providence, R.I.: American Mathematical Society."},{"key":"5094314_CR3","doi-asserted-by":"crossref","unstructured":"Boxma, O. J., and Dumas, V. 1998. The busy period in the fluid queue. Proceedings of Sigmetrics\/Performance'98, pp. 100\u2013110.","DOI":"10.1145\/277851.277881"},{"key":"5094314_CR4","doi-asserted-by":"crossref","unstructured":"Brockett, R. W., Gong, W. B., and Guo, Y. 1999. Stochastic analysis for fluid queueing systems. Proceedings of IEEE CDC'99, pp. 3077\u20133082.","DOI":"10.1109\/CDC.1999.831407"},{"issue":"3","key":"5094314_CR5","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1137\/0331032","volume":"31","author":"E. K. P. Chong","year":"1993","unstructured":"Chong, E. K. P., and Ramadge, P. J. 1993. Optimization of queues using an infinitesimal perturbation analysis based stochastic algorithm with general update times. SIAM J. Control and Optimization 31(3): 698\u2013732.","journal-title":"SIAM J. Control and Optimization"},{"key":"5094314_CR6","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/BF01158791","volume":"9","author":"A. Elwalid","year":"1991","unstructured":"Elwalid, A., and Mitra, D. 1991. Analysis and design of rate-based congestion control of high speed networks, I: stochastic fluid models, access regulation. Queueing Systems 9: 29\u201364.","journal-title":"Queueing Systems"},{"key":"5094314_CR7","first-page":"73","volume":"COM-23","author":"R. G. Gallager","year":"1975","unstructured":"Gallager, R. G. 1975. A Minimum delay routing algorithm using distributed computation. IEEE Trans Commun. COM-23: 73\u201385.","journal-title":"IEEE Trans Commun."},{"key":"5094314_CR8","doi-asserted-by":"crossref","unstructured":"Gibbens, R. J., and Kelly, F. P. 1999. Resource pricing and the evolution of congestion control. Automatica 35.","DOI":"10.1016\/S0005-1098(99)00135-1"},{"key":"5094314_CR9","volume-title":"Perturbation Analysis for Gradient Estimation","author":"P. Glasserman","year":"1991","unstructured":"Glasserman, P. 1991. Perturbation Analysis for Gradient Estimation. Norwell, Massachusetts: Kluwer."},{"key":"5094314_CR10","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. Norwell, Massachusetts: Kluwer."},{"key":"5094314_CR11","doi-asserted-by":"crossref","unstructured":"Ho, Y. C., Sreeniva, R., and Vakili, P. 1992. Ordinal optimization of discrete event dynamic systems. Journal on DEDS. 2(2).","DOI":"10.1007\/BF01797280"},{"key":"5094314_CR12","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1057\/palgrave.jors.2600523","volume":"49","author":"F. Kelly","year":"1998","unstructured":"Kelly, F., Maulloo, A., and Tan, D. 1998. Rate control in communication networks: shadow prices, proportional fairness and stability. Journal of the Operational Research Society 49 (1998) 237\u2013252.","journal-title":"Journal of the Operational Research Society"},{"key":"5094314_CR13","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1002\/ett.4460080106","volume":"8","author":"F. Kelly","year":"1997","unstructured":"Kelly, F. 1997. Charging and rate control for elastic traffic. European Transaction on Telecommunications 8: 33\u201337.","journal-title":"European Transaction on Telecommunications"},{"issue":"1","key":"5094314_CR14","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/S0304-4149(96)00103-2","volume":"65","author":"T. Konstantopoulos","year":"1997","unstructured":"Konstantopoulos, T., and Zazanis, M. 1997. Conservation laws and reflection mappings with an application to multiclass mean value analysis for stochastic fluid queues. Stoch. Proc. Appl. 65(1): 139\u2013146.","journal-title":"Stoch. Proc. Appl."},{"issue":"5","key":"5094314_CR15","doi-asserted-by":"crossref","first-page":"705","DOI":"10.1109\/12.24272","volume":"38","author":"J. F. Kurose","year":"1989","unstructured":"Kurose, J. F., and Simha, R. 1989. Resource sharing in distributed systems. IEEE Transactions on Computers. 38(5): 705\u2013707.","journal-title":"IEEE Transactions on Computers"},{"key":"5094314_CR16","unstructured":"Liu, Y., and Gong, W. B. 1999. Perturbation analysis for stochastic fluid queueing system. Proceedings of 38th IEEE\/CDC."},{"key":"5094314_CR17","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF01441209","volume":"4","author":"R. Suri","year":"1995","unstructured":"Suri, R., Fu, B. 1995. On using continuous lines to model discrete production lines. Journal of Discrete Event Dynamic Systems. 4: 129\u2013169.","journal-title":"Journal of Discrete Event Dynamic Systems"}],"container-title":["Discrete Event Dynamic Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019707508130.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1019707508130\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019707508130.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T04:06:08Z","timestamp":1753761968000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1019707508130"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,10]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2002,10]]}},"alternative-id":["5094314"],"URL":"https:\/\/doi.org\/10.1023\/a:1019707508130","relation":{},"ISSN":["0924-6703","1573-7594"],"issn-type":[{"type":"print","value":"0924-6703"},{"type":"electronic","value":"1573-7594"}],"subject":[],"published":{"date-parts":[[2002,10]]}}}