{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,26]],"date-time":"2025-09-26T00:11:50Z","timestamp":1758845510864,"version":"3.41.0"},"publisher-location":"Cham","reference-count":34,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319597669"},{"type":"electronic","value":"9783319597676"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-59767-6_27","type":"book-chapter","created":{"date-parts":[[2017,5,29]],"date-time":"2017-05-29T03:44:19Z","timestamp":1496029459000},"page":"336-350","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Self-similarity Traffic and AQM Mechanism Based on Non-integer Order $$PI^{\\alpha }D^{\\beta }$$ Controller"],"prefix":"10.1007","author":[{"given":"Adam","family":"Doma\u0144ski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joanna","family":"Doma\u0144ska","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tadeusz","family":"Czach\u00f3rski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jerzy","family":"Klamka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,30]]},"reference":[{"issue":"4","key":"27_CR1","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1109\/90.251892","volume":"1","author":"S Floyd","year":"1993","unstructured":"Floyd, S., Jacobson, V.: Random early detection gateways for congestion avoidance. IEEE\/ACM Trans. Netw. 1(4), 397\u2013413 (1993)","journal-title":"IEEE\/ACM Trans. Netw."},{"issue":"2","key":"27_CR2","first-page":"217","volume":"62","author":"J Doma\u0144ska","year":"2014","unstructured":"Doma\u0144ska, J., Doma\u0144ski, A., Czach\u00f3rski, T., Klamka, J.: Fluid flow approximation of time-limited TCP\/UDP\/XCP streams. Bull. Pol. Acad. Sci. Tech. Sci. 62(2), 217\u2013225 (2014)","journal-title":"Bull. Pol. Acad. Sci. Tech. Sci."},{"key":"27_CR3","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1007\/978-3-642-31217-5_9","volume-title":"Computer Networks","author":"A Doma\u0144ski","year":"2012","unstructured":"Doma\u0144ski, A., Doma\u0144ska, J., Czach\u00f3rski, T.: Comparison of AQM control systems with the use of fluid flow approximation. In: Kwiecie\u0144, A., Gaj, P., Stera, P. (eds.) CN 2012. CCIS, vol. 291, pp. 82\u201390. Springer, Heidelberg (2012). doi: 10.1007\/978-3-642-31217-5_9"},{"issue":"4","key":"27_CR4","first-page":"779","volume":"60","author":"J Doma\u0144ska","year":"2012","unstructured":"Doma\u0144ska, J., Augustyn, D., Doma\u0144ski, A.: The choice of optimal 3rd order polynomial packet dropping function for NLRED in the presence of self-similar traffic. Bull. Pol. Acad. Sci. Tech. Sci. 60(4), 779\u2013786 (2012)","journal-title":"Bull. Pol. Acad. Sci. Tech. Sci."},{"key":"27_CR5","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1007\/978-3-642-13861-4_20","volume-title":"Computer Networks","author":"DR Augustyn","year":"2010","unstructured":"Augustyn, D.R., Doma\u0144ski, A., Doma\u0144ska, J.: A choice of optimal packet dropping function for active queue management. In: Kwiecie\u0144, A., Gaj, P., Stera, P. (eds.) CN 2010. CCIS, vol. 79, pp. 199\u2013206. Springer, Heidelberg (2010). doi: 10.1007\/978-3-642-13861-4_20"},{"issue":"3","key":"27_CR6","doi-asserted-by":"crossref","first-page":"697","DOI":"10.2478\/amcs-2014-0051","volume":"24","author":"J Doma\u0144ska","year":"2014","unstructured":"Doma\u0144ska, J., Doma\u0144ski, A., Augustyn, D., Klamka, J.: A RED modified weighted moving average for soft real-time application. Int. J. Appl. Math. Comput. Sci. 24(3), 697\u2013707 (2014)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"key":"27_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/978-3-540-74833-5_6","volume-title":"Next Generation Teletraffic and Wired\/Wireless Advanced Networking","author":"J Doma\u0144ska","year":"2007","unstructured":"Doma\u0144ska, J., Doma\u0144ski, A., Czach\u00f3rski, T.: The drop-from-front strategy in AQM. In: Koucheryavy, Y., Harju, J., Sayenko, A. (eds.) NEW2AN 2007. LNCS, vol. 4712, pp. 61\u201372. Springer, Heidelberg (2007). doi: 10.1007\/978-3-540-74833-5_6"},{"key":"27_CR8","doi-asserted-by":"crossref","unstructured":"Hollot, C., Misra, V., Towsley, D., Gong, W.: On designing improved controllers for AQM routers supporting TCP flows. In: IEEE\/INFOCOM 2001, pp. 1726\u20131734 (2001)","DOI":"10.1109\/INFCOM.2001.916670"},{"key":"27_CR9","doi-asserted-by":"publisher","first-page":"1136","DOI":"10.1080\/00207170600810701","volume":"79","author":"W Michiels","year":"2006","unstructured":"Michiels, W., Melchor-Aquilar, D., Niculescu, S.: Stability analysis of some classes of TCP\/AQM networks. Int. J. Control 79, 1136\u20131144 (2006)","journal-title":"Int. J. Control"},{"key":"27_CR10","first-page":"401","volume":"10","author":"D Melchor-Aquilar","year":"2007","unstructured":"Melchor-Aquilar, D., Castillo-Tores, V.: Stability analysis of proportional-integral AQM controllers supporting TCP flows. Computacion y Sistemas 10, 401\u2013414 (2007)","journal-title":"Computacion y Sistemas"},{"key":"27_CR11","doi-asserted-by":"crossref","unstructured":"Ustebay, D., Ozbay, H.: Switching resilient pi controllers for active queue management of TCP flows. In: Proceedings of the 2007 IEEE International Conference on Networking, Sensing and Control, pp. 574\u2013578 (2007)","DOI":"10.1109\/ICNSC.2007.372842"},{"issue":"1","key":"27_CR12","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1109\/9.739144","volume":"44","author":"I Podlubny","year":"1999","unstructured":"Podlubny, I.: Fractional order systems and $${PI}^\\lambda {D}^\\mu $$ controllers. IEEE Trans. Autom. Control 44(1), 208\u2013214 (1999)","journal-title":"IEEE Trans. Autom. Control"},{"key":"27_CR13","doi-asserted-by":"crossref","unstructured":"Chen, Y., Petras, I., Xue, D.: Fractional order control - a tutorial. In: American Control Coference, pp. 1397\u20131411 (2009)","DOI":"10.1109\/ACC.2009.5160719"},{"key":"27_CR14","series-title":"Lecture Notes in Electrical Engineering","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-45474-0","volume-title":"Theory and Applications of Non-integer Order Systems","author":"A Babiarz","year":"2017","unstructured":"Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M.: Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol. 407. Springer, Heidelberg (2017)"},{"key":"27_CR15","unstructured":"Krajewski, W., Viaro, U.: On robust fractional order PI controller for TCP packet flow. In: BOS Coference: Systems and Operational Research, Warsaw, Poland, September 2014"},{"key":"27_CR16","doi-asserted-by":"publisher","first-page":"777","DOI":"10.1515\/amcs-2016-0055","volume":"26","author":"A Domanski","year":"2016","unstructured":"Domanski, A., Domanska, J., Czachorski, T., Klamka, J.: Use of a non integer order PI controller with an active queue management mechanism. Int. J. Appl. Math. Comput. Sci. 26, 777\u2013789 (2016)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"key":"27_CR17","doi-asserted-by":"publisher","first-page":"835","DOI":"10.1109\/90.650143","volume":"5","author":"M Crovella","year":"1997","unstructured":"Crovella, M., Bestavros, A.: Self-similarity in world wide web traffic: evidence and possible causes. IEEE\/ACM Trans. Netw. 5, 835\u2013846 (1997)","journal-title":"IEEE\/ACM Trans. Netw."},{"key":"27_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1007\/978-3-540-85500-2_14","volume-title":"Next Generation Teletraffic and Wired\/Wireless Advanced Networking","author":"A Doma\u0144ski","year":"2008","unstructured":"Doma\u0144ski, A., Doma\u0144ska, J., Czach\u00f3rski, T.: The impact of self-similarity on traffic shaping in wireless LAN. In: Balandin, S., Moltchanov, D., Koucheryavy, Y. (eds.) NEW2AN 2008. LNCS, vol. 5174, pp. 156\u2013168. Springer, Heidelberg (2008). doi: 10.1007\/978-3-540-85500-2_14"},{"key":"27_CR19","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/978-3-319-09465-6_15","volume-title":"Information Sciences and Systems 2014","author":"J Doma\u0144ska","year":"2014","unstructured":"Doma\u0144ska, J., Doma\u0144ska, A., Czach\u00f3rski, T.: A few investigations of long-range dependence in network traffic. In: Czach\u00f3rski, T., Gelenbe, E., Lent, R. (eds.) Information Sciences and Systems 2014, pp. 137\u2013144. Springer, Cham (2014). doi: 10.1007\/978-3-319-09465-6_15"},{"key":"27_CR20","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/978-3-319-19419-6_2","volume-title":"Computer Networks","author":"J Doma\u0144ska","year":"2015","unstructured":"Doma\u0144ska, J., Doma\u0144ski, A., Czach\u00f3rski, T.: Estimating the intensity of long-range dependence in real and synthetic traffic traces. In: Gaj, P., Kwiecie\u0144, A., Stera, P. (eds.) CN 2015. CCIS, vol. 522, pp. 11\u201322. Springer, Cham (2015). doi: 10.1007\/978-3-319-19419-6_2"},{"key":"27_CR21","doi-asserted-by":"crossref","unstructured":"Doma\u0144ska, J., Doma\u0144ski, A.: The influence of traffic self-similarity on QoS mechanism. In: Proceedings of the International Symposium on Applications and the Internet, SAINT, Trento, Italy, pp. 300\u2013303 (2005)","DOI":"10.1109\/SAINTW.2005.1620035"},{"key":"27_CR22","volume-title":"High-Speed Networks: TCP\/IP and ATM Design Principles","author":"W Stallings","year":"1998","unstructured":"Stallings, W.: High-Speed Networks: TCP\/IP and ATM Design Principles. Prentice-Hall, New York (1998)"},{"issue":"6","key":"27_CR23","doi-asserted-by":"publisher","first-page":"953","DOI":"10.1109\/49.400651","volume":"13","author":"I Norros","year":"1995","unstructured":"Norros, I.: On the use of fractional brownian motion in the theory of connectionless networks. IEEE J. Sel. Areas Commun. 13(6), 953\u2013962 (1995)","journal-title":"IEEE J. Sel. Areas Commun."},{"issue":"1\u20132","key":"27_CR24","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1007\/BF01158436","volume":"20","author":"A Erramilli","year":"1995","unstructured":"Erramilli, A., Singh, R., Pruthi, P.: An application of deterministic chaotic maps to model packet traffic. Queueing Syst. 20(1\u20132), 171\u2013206 (1995)","journal-title":"Queueing Syst."},{"key":"27_CR25","unstructured":"Harmantzis, F., Hatzinakos, D.: Heavy network traffic modeling and simulation using stable farima processes. In: 19th International Teletraffic Congress, Beijing, China, pp. 300\u2013303 (2005)"},{"issue":"1\u20132","key":"27_CR26","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/S0166-5316(96)00055-7","volume":"30","author":"S Robert","year":"1997","unstructured":"Robert, S., Boudec, J.: New models for pseudo self-similar traffic. Perform. Eval. 30(1\u20132), 57\u201368 (1997)","journal-title":"Perform. Eval."},{"issue":"5","key":"27_CR27","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1109\/49.700908","volume":"16","author":"AT Andersen","year":"1998","unstructured":"Andersen, A.T., Nielsen, B.F.: A Markovian approach for modeling packet traffic with long-range dependence. IEEE J. Sel. Areas Commun. 16(5), 719\u2013732 (1998)","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"27_CR28","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1007\/978-3-319-07941-7_3","volume-title":"Computer Networks","author":"J Doma\u0144ska","year":"2014","unstructured":"Doma\u0144ska, J., Doma\u0144ski, A., Czach\u00f3rski, T.: Modeling packet traffic with the use of superpositions of two-state MMPPs. In: Kwiecie\u0144, A., Gaj, P., Stera, P. (eds.) CN 2014. CCIS, vol. 431, pp. 24\u201336. Springer, Cham (2014). doi: 10.1007\/978-3-319-07941-7_3"},{"key":"27_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1007\/978-3-642-22875-9_36","volume-title":"Smart Spaces and Next Generation Wired\/Wireless Networking","author":"J Doma\u0144ska","year":"2011","unstructured":"Doma\u0144ska, J., Doma\u0144ski, A., Czach\u00f3rski, T.: Internet traffic source based on hidden Markov model. In: Balandin, S., Koucheryavy, Y., Hu, H. (eds.) NEW2AN\/ruSMART -2011. LNCS, vol. 6869, pp. 395\u2013404. Springer, Heidelberg (2011). doi: 10.1007\/978-3-642-22875-9_36"},{"key":"27_CR30","doi-asserted-by":"publisher","first-page":"422","DOI":"10.1137\/1010093","volume":"10","author":"B Mandelbrot","year":"1968","unstructured":"Mandelbrot, B., Ness, J.: Fractional brownian motions, fractional noises and applications. SIAM Rev. 10, 422\u2013437 (1968)","journal-title":"SIAM Rev."},{"key":"27_CR31","volume-title":"Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance","author":"G Samorodnitsky","year":"1994","unstructured":"Samorodnitsky, G., Taqqu, M.: Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance. Chapman and Hall, New York (1994)"},{"issue":"68","key":"27_CR32","first-page":"55","volume":"4","author":"G Rutka","year":"2006","unstructured":"Rutka, G.: Neural network models for internet traffic prediction. Electron. Electr. Eng. 4(68), 55\u201358 (2006)","journal-title":"Electron. Electr. Eng."},{"issue":"5","key":"27_CR33","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1145\/269790.269792","volume":"27","author":"V Paxson","year":"1997","unstructured":"Paxson, V.: Fast, approximate synthesis of fractional Gaussian noise for generating self-similar network traffic. ACM SIGCOMM Comput. Commun. Rev. 27(5), 5\u201318 (1997)","journal-title":"ACM SIGCOMM Comput. Commun. Rev."},{"key":"27_CR34","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1007\/978-3-319-39207-3_17","volume-title":"Computer Networks","author":"A Doma\u0144ski","year":"2016","unstructured":"Doma\u0144ski, A., Doma\u0144ska, J., Czach\u00f3rski, T.: The impact of the degree of self-similarity on the NLREDwM mechanism with drop from front strategy. In: Gaj, P., Kwiecie\u0144, A., Stera, P. (eds.) CN 2016. CCIS, vol. 608, pp. 192\u2013203. Springer, Cham (2016). doi: 10.1007\/978-3-319-39207-3_17"}],"container-title":["Communications in Computer and Information Science","Computer Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-59767-6_27","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T20:44:52Z","timestamp":1750279492000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-59767-6_27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319597669","9783319597676"],"references-count":34,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-59767-6_27","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"30 May 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CN","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computer Networks","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Brun\u00f3w","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Poland","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 June 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23 June 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cn2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/cn.polsl.pl\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}