References analysis of the Wikipedia article "Fluid queue" in the English version

arxiv.org

Dębicki, K.; Dieker, A. B.; Rolski, T. (2007). "Quasi-Product Forms for Levy-Driven Fluid Networks". Mathematics of Operations Research. 32 (3): 629. arXiv:math/0512119. doi:10.1287/moor.1070.0259. S2CID 16150704.

Ivanovs, J. (2010). "Markov-modulated Brownian motion with two reflecting barriers". Journal of Applied Probability. 47 (4): 1034–1047. arXiv:1003.4107. doi:10.1239/jap/1294170517. S2CID 19329962.

bme.hu

webspn.hit.bme.hu

Telek, M. S.; Vécsei, M. S. (2013). "Analysis of Fluid Queues in Saturation with Additive Decomposition" (PDF). Modern Probabilistic Methods for Analysis of Telecommunication Networks. Communications in Computer and Information Science. Vol. 356. p. 167. doi:10.1007/978-3-642-35980-4_19. ISBN 978-3-642-35979-8.

doi.org

Mitra, D. (1988). "Stochastic Theory of a Fluid Model of Producers and Consumers Coupled by a Buffer". Advances in Applied Probability. 20 (3): 646–676. doi:10.2307/1427040. JSTOR 1427040.

Ahn, S.; Ramaswami, V. (2003). "Fluid Flow Models and Queues—A Connection by Stochastic Coupling" (PDF). Stochastic Models. 19 (3): 325. doi:10.1081/STM-120023564. S2CID 6733796.

Elwalid, A. I.; Mitra, D. (1991). "Analysis and design of rate-based congestion control of high speed networks, I: Stochastic fluid models, access regulation". Queueing Systems. 9 (1–2): 29–63. doi:10.1007/BF01158791. S2CID 19379411.

Stanford, David A.; Latouche, Guy; Woolford, Douglas G.; Boychuk, Dennis; Hunchak, Alek (2005). "Erlangized Fluid Queues with Application to Uncontrolled Fire Perimeter". Stochastic Models. 21 (2–3): 631. doi:10.1081/STM-200056242. S2CID 123591340.

Remiche, M. A. (2005). "Compliance of the Token-Bucket Model with Markovian Traffic". Stochastic Models. 21 (2–3): 615–630. doi:10.1081/STM-200057884. S2CID 121190780.

Phatarfod, R. M. (1963). "Application of Methods in Sequential Analysis to Dam Theory". The Annals of Mathematical Statistics. 34 (4): 1588–1592. doi:10.1214/aoms/1177703892.

Gani, J.; Prabhu, N. U. (1958). "Continuous Time Treatment of a Storage Problem". Nature. 182 (4627): 39. Bibcode:1958Natur.182...39G. doi:10.1038/182039a0. S2CID 42193342.

Anick, D.; Mitra, D.; Sondhi, M. M. (1982). "Stochastic Theory of a Data-Handling System with Multiple Sources" (PDF). The Bell System Technical Journal. 61 (8): 1871–1894. doi:10.1002/j.1538-7305.1982.tb03089.x. S2CID 16836549.

Hohn, N.; Veitch, D.; Papagiannaki, K.; Diot, C. (2004). "Bridging router performance and queuing theory". Proceedings of the joint international conference on Measurement and modeling of computer systems - SIGMETRICS 2004/PERFORMANCE 2004. p. 355. CiteSeerX 10.1.1.1.3208. doi:10.1145/1005686.1005728. ISBN 978-1581138733. S2CID 14416842.

Arunachalam, V.; Gupta, V.; Dharmaraja, S. (2010). "A fluid queue modulated by two independent birth–death processes". Computers & Mathematics with Applications. 60 (8): 2433–2444. doi:10.1016/j.camwa.2010.08.039.

Norros, I.; Roberts, J. W.; Simonian, A.; Virtamo, J. T. (1991). "The superposition of variable bit rate sources in an ATM multiplexer". IEEE Journal on Selected Areas in Communications. 9 (3): 378. doi:10.1109/49.76636.

Rasmussen, C.; Sorensen, J. H.; Kvols, K. S.; Jacobsen, S. B. (1991). "Source-independent call acceptance procedures in ATM networks". IEEE Journal on Selected Areas in Communications. 9 (3): 351. doi:10.1109/49.76633.

Gaeta, R.; Gribaudo, M.; Manini, D.; Sereno, M. (2006). "Analysis of resource transfers in peer-to-peer file sharing applications using fluid models". Performance Evaluation. 63 (3): 149. CiteSeerX 10.1.1.102.3905. doi:10.1016/j.peva.2005.01.001.

Yazici, M. A.; Akar, N. (2013). "Analysis of continuous feedback Markov fluid queues and its applications to modeling Optical Burst Switching". Proceedings of the 2013 25th International Teletraffic Congress (ITC). pp. 1–8. doi:10.1109/ITC.2013.6662952. hdl:11693/28055. ISBN 978-0-9836283-7-8. S2CID 863180.

Gani, J. (1969). "Recent Advances in Storage and Flooding Theory". Advances in Applied Probability. 1 (1): 90–110. doi:10.2307/1426410. JSTOR 1426410.

Govorun, M.; Latouche, G.; Remiche, M. A. (2013). "Stability for Fluid Queues: Characteristic Inequalities". Stochastic Models. 29: 64–88. doi:10.1080/15326349.2013.750533. S2CID 120102947.

Rogers, L. C. G.; Shi, Z. (1994). "Computing the Invariant Law of a Fluid Model". Journal of Applied Probability. 31 (4): 885–896. doi:10.2307/3215314. JSTOR 3215314.

Scheinhardt, W.; Van Foreest, N.; Mandjes, M. (2005). "Continuous feedback fluid queues". Operations Research Letters. 33 (6): 551. doi:10.1016/j.orl.2004.11.008.

Asmussen, Søren (1995). "Stationary distributions for fluid flow models with or without brownian noise". Communications in Statistics. Stochastic Models. 11: 21–49. doi:10.1080/15326349508807330.

Akar, N.; Sohraby, K. (2004). "Infinite- and finite-buffer Markov fluid queues: A unified analysis" (PDF). Journal of Applied Probability. 41 (2): 557. doi:10.1239/jap/1082999086. hdl:11693/24279. JSTOR 3216036.

Field, A.; Harrison, P. (2007). "An approximate compositional approach to the analysis of fluid queue networks". Performance Evaluation. 64 (9–12): 1137. doi:10.1016/j.peva.2007.06.025.

Lee, Eui Yong; Kinateder, Kimberly K. J. (2000). "The expected wet period of finite dam with exponential inputs". Stochastic Processes and Their Applications. 90: 175–180. doi:10.1016/S0304-4149(00)00034-X.

Boxma, O. J.; Dumas, V. (1998). "The busy period in the fluid queue". ACM SIGMETRICS Performance Evaluation Review. 26: 100–110. doi:10.1145/277858.277881.

Field, A. J.; Harrison, P. G. (2010). "Busy periods in fluid queues with multiple emptying input states". Journal of Applied Probability. 47 (2): 474. doi:10.1239/jap/1276784904.

Asmussen, S. R. (1994). "Busy period analysis, rare events and transient behavior in fluid flow models" (PDF). Journal of Applied Mathematics and Stochastic Analysis. 7 (3): 269–299. doi:10.1155/S1048953394000262.

Kroese, D. P.; Scheinhardt, W. R. W. (2001). "Joint Distributions for Interacting Fluid Queues". Queueing Systems. 37: 99–139. doi:10.1023/A:1011044217695. S2CID 3482641.

Gautam, N.; Kulkarni, V. G.; Palmowski, Z.; Rolski, T. (1999). "Bounds for Fluid Models Driven by Semi-Markov Inputs" (PDF). Probability in the Engineering and Informational Sciences. 13 (4): 429. doi:10.1017/S026996489913403X.

Badescu, Andrei L.; Landriault, David (2009). "Applications of fluid flow matrix analytic methods in ruin theory —a review" (PDF). RACSAM - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 103 (2): 353–372. doi:10.1007/BF03191912. S2CID 53498442.

Ahn, S.; Ramaswami, V. (2005). "Efficient algorithms for transient analysis of stochastic fluid flow models" (PDF). Journal of Applied Probability. 42 (2): 531. doi:10.1239/jap/1118777186.

O'Reilly, M. G. M.; Palmowski, Z. (2013). "Loss rates for stochastic fluid models". Performance Evaluation. 70 (9): 593. doi:10.1016/j.peva.2013.05.005.

Boxma, O. J.; Perry, D.; Van Der Duyn Schouten, F. A. (1999). "Fluid Queues and Mountain Processes". Probability in the Engineering and Informational Sciences. 13 (4): 407–427. doi:10.1017/S0269964899134028.

Boxma, O. J.; Perry, D. (2009). "On the Cycle Maximum of Mountains, Dams and Queues". Communications in Statistics - Theory and Methods. 38 (16–17): 2706. doi:10.1080/03610910902936232. S2CID 9973624.

Kella, O. (1996). "Stability and nonproduct form of stochastic fluid networks with Lévy inputs". The Annals of Applied Probability. 6: 186–199. doi:10.1214/aoap/1034968070.

Kella, O. (2000). "Non-product form of two-dimensional fluid networks with dependent Lévy inputs". Journal of Applied Probability. 37 (4): 1117–1122. doi:10.1239/jap/1014843090.

Malhotra, R.; Mandjes, M. R. H.; Scheinhardt, W. R. W.; Berg, J. L. (2008). "A feedback fluid queue with two congestion control thresholds". Mathematical Methods of Operations Research. 70: 149–169. doi:10.1007/s00186-008-0235-8.

Kankaya, H. E.; Akar, N. (2008). "Solving Multi-Regime Feedback Fluid Queues". Stochastic Models. 24 (3): 425. doi:10.1080/15326340802232285. hdl:11693/23071. S2CID 53363967.

Karandikar, R. L.; Kulkarni, V. G. (1995). "Second-Order Fluid Flow Models: Reflected Brownian Motion in a Random Environment". Operations Research. 43: 77–88. doi:10.1287/opre.43.1.77.

Gribaudo, M.; Manini, D.; Sericola, B.; Telek, M. (2007). "Second order fluid models with general boundary behaviour". Annals of Operations Research. 160: 69–82. CiteSeerX 10.1.1.484.6192. doi:10.1007/s10479-007-0297-7. S2CID 1735120.

jstor.org

Mitra, D. (1988). "Stochastic Theory of a Fluid Model of Producers and Consumers Coupled by a Buffer". Advances in Applied Probability. 20 (3): 646–676. doi:10.2307/1427040. JSTOR 1427040.

Gani, J. (1969). "Recent Advances in Storage and Flooding Theory". Advances in Applied Probability. 1 (1): 90–110. doi:10.2307/1426410. JSTOR 1426410.

Rogers, L. C. G.; Shi, Z. (1994). "Computing the Invariant Law of a Fluid Model". Journal of Applied Probability. 31 (4): 885–896. doi:10.2307/3215314. JSTOR 3215314.

psu.edu

citeseerx.ist.psu.edu

semanticscholar.org

api.semanticscholar.org

Ahn, S.; Ramaswami, V. (2003). "Fluid Flow Models and Queues—A Connection by Stochastic Coupling" (PDF). Stochastic Models. 19 (3): 325. doi:10.1081/STM-120023564. S2CID 6733796.

Remiche, M. A. (2005). "Compliance of the Token-Bucket Model with Markovian Traffic". Stochastic Models. 21 (2–3): 615–630. doi:10.1081/STM-200057884. S2CID 121190780.

Gani, J.; Prabhu, N. U. (1958). "Continuous Time Treatment of a Storage Problem". Nature. 182 (4627): 39. Bibcode:1958Natur.182...39G. doi:10.1038/182039a0. S2CID 42193342.

Govorun, M.; Latouche, G.; Remiche, M. A. (2013). "Stability for Fluid Queues: Characteristic Inequalities". Stochastic Models. 29: 64–88. doi:10.1080/15326349.2013.750533. S2CID 120102947.

Kroese, D. P.; Scheinhardt, W. R. W. (2001). "Joint Distributions for Interacting Fluid Queues". Queueing Systems. 37: 99–139. doi:10.1023/A:1011044217695. S2CID 3482641.

Kankaya, H. E.; Akar, N. (2008). "Solving Multi-Regime Feedback Fluid Queues". Stochastic Models. 24 (3): 425. doi:10.1080/15326340802232285. hdl:11693/23071. S2CID 53363967.

unc.edu

Kulkarni, Vidyadhar G. (1997). "Fluid models for single buffer systems" (PDF). Frontiers in Queueing: Models and Applications in Science and Engineering. pp. 321–338. ISBN 978-0-8493-8076-1.

Fluid queue (English Wikipedia)

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unc.edu

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wright.edu

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