{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T17:50:42Z","timestamp":1725731442631},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642394072"},{"type":"electronic","value":"9783642394089"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-39408-9_8","type":"book-chapter","created":{"date-parts":[[2013,6,11]],"date-time":"2013-06-11T22:45:07Z","timestamp":1370990707000},"page":"96-111","source":"Crossref","is-referenced-by-count":7,"title":["Transformation of Acyclic Phase Type Distributions for Correlation Fitting"],"prefix":"10.1007","author":[{"given":"Peter","family":"Buchholz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iryna","family":"Felko","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jan","family":"Kriege","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"8_CR1","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1080\/15326341003756486","volume":"26","author":"M. Bladt","year":"2010","unstructured":"Bladt, M., Nielson, B.F.: On the construction of bivariate exponential distributions with an arbitrary correlation coefficient. Stochastic Models\u00a026, 295\u2013308 (2010)","journal-title":"Stochastic Models"},{"doi-asserted-by":"crossref","unstructured":"Buchholz, P., Felko, I., Kriege, J.: Online Companion to the Paper Transformation of Acyclic Phase Type Distributions for Correlation Fitting (2013), \n                  \n                    http:\/\/www4.cs.tu-dortmund.de\/download\/kriege\/publications\/asmta2013_online_companion.pdf","key":"8_CR2","DOI":"10.1007\/978-3-642-39408-9_8"},{"unstructured":"Buchholz, P., Kriege, J.: Equivalence Transformations for Acyclic Phase Type Distributions. Technical Report 827, Dep. of Informatics, TU Dortmund (2009)","key":"8_CR3"},{"doi-asserted-by":"crossref","unstructured":"Buchholz, P., Kriege, J.: A heuristic approach for fitting MAPs to moments and joint moments. In: QEST, pp. 53\u201362 (2009)","key":"8_CR4","DOI":"10.1109\/QEST.2009.36"},{"key":"8_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/978-3-540-30182-0_23","volume-title":"Computer and Information Sciences - ISCIS 2004","author":"P. Buchholz","year":"2004","unstructured":"Buchholz, P., Panchenko, A.: A two-step EM algorithm for MAP fitting. In: Aykanat, C., Dayar, T., K\u00f6rpeo\u011flu, \u0130. (eds.) ISCIS 2004. LNCS, vol.\u00a03280, pp. 217\u2013227. Springer, Heidelberg (2004)"},{"issue":"12","key":"8_CR6","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1016\/j.peva.2010.08.023","volume":"67","author":"P. Buchholz","year":"2010","unstructured":"Buchholz, P., Telek, M.: Stochastic Petri nets with matrix exponentially distributed firing times. Performance Evaluation\u00a067(12), 1373\u20131385 (2010)","journal-title":"Performance Evaluation"},{"issue":"3","key":"8_CR7","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1145\/29380.29864","volume":"13","author":"A. Corana","year":"1987","unstructured":"Corana, A., Marchesi, M., Martini, C., Ridella, S.: Minimizing multimodal functions of continuous variables with the \u201dsimulated annealing\u201d algorithm. ACM Trans. Math. Softw.\u00a013(3), 262\u2013280 (1987)","journal-title":"ACM Trans. Math. Softw."},{"issue":"3","key":"8_CR8","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1016\/0026-2714(82)90033-6","volume":"22","author":"A. Cumani","year":"1982","unstructured":"Cumani, A.: On the canonical representation of homogeneous Markov processes modeling failure-time distributions. Micorelectronics and Reliability\u00a022(3), 583\u2013602 (1982)","journal-title":"Micorelectronics and Reliability"},{"issue":"1","key":"8_CR9","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/s10729-008-9070-y","volume":"12","author":"M. Fackrell","year":"2009","unstructured":"Fackrell, M.: Modelling healthcare systems with phase-type distributions. Health Care Management Science\u00a012(1), 11\u201326 (2009)","journal-title":"Health Care Management Science"},{"key":"8_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1007\/3-540-46029-2_5","volume-title":"Computer Performance Evaluation","author":"A. Horv\u00e1th","year":"2002","unstructured":"Horv\u00e1th, A., Telek, M.: PhFit: A general phase-type fitting tool. In: Field, T., Harrison, P.G., Bradley, J., Harder, U. (eds.) TOOLS 2002. LNCS, vol.\u00a02324, pp. 82\u201391. Springer, Heidelberg (2002)"},{"doi-asserted-by":"crossref","unstructured":"Horv\u00e1th, G., Telek, M., Buchholz, P.: A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag-correlation. In: QEST (2005)","key":"8_CR11","DOI":"10.1109\/QEST.2005.1"},{"unstructured":"Iversen, V.B., Nielsen, B.F.: Some properties of Coxian distributions with applications. In: Modeling Techniques and Tools for Performance Analysis, pp. 61\u201366. Elsevier (1986)","key":"8_CR12"},{"issue":"2","key":"8_CR13","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0166-5316(03)00067-1","volume":"54","author":"A. Klemm","year":"2003","unstructured":"Klemm, A., Lindemann, C., Lohmann, M.: Modeling IP traffic using the batch Markovian arrival process. Perform. Eval.\u00a054(2), 149\u2013173 (2003)","journal-title":"Perform. Eval."},{"key":"8_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1007\/978-3-642-12104-3_20","volume-title":"Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance","author":"J. Kriege","year":"2010","unstructured":"Kriege, J., Buchholz, P.: An Empirical Comparison of MAP Fitting Algorithms. In: M\u00fcller-Clostermann, B., Echtle, K., Rathgeb, E.P. (eds.) MMB & DFT 2010. LNCS, vol.\u00a05987, pp. 259\u2013273. Springer, Heidelberg (2010)"},{"doi-asserted-by":"crossref","unstructured":"Lipsky, L.: Queueing Theory: A Linear Algebraic Approach. Springer (2010)","key":"8_CR15","DOI":"10.1007\/978-0-387-49706-8"},{"doi-asserted-by":"crossref","unstructured":"M\u00e9sz\u00e1ros, A., Telek, M.: A two-phase MAP fitting method with APH interarrival time distribution. In: Winter Simulation Conference. ACM (2012)","key":"8_CR16","DOI":"10.1109\/WSC.2012.6465300"},{"doi-asserted-by":"crossref","unstructured":"Neuts, M.F.: A versatile Markovian point process. Journ. of Applied Probability\u00a016 (1979)","key":"8_CR17","DOI":"10.2307\/3213143"},{"unstructured":"Neuts, M.F.: Matrix-geometric solutions in stochastic models. Johns Hopkins University Press (1981)","key":"8_CR18"},{"key":"8_CR19","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1109\/90.392383","volume":"3","author":"V. Paxson","year":"1995","unstructured":"Paxson, V., Floyd, S.: Wide-area traffic: The failure of Poisson modeling. IEEE\/ACM Transactions on Networking\u00a03, 226\u2013244 (1995)","journal-title":"IEEE\/ACM Transactions on Networking"},{"issue":"9-12","key":"8_CR20","doi-asserted-by":"publisher","first-page":"1153","DOI":"10.1016\/j.peva.2007.06.001","volume":"64","author":"M. Telek","year":"2007","unstructured":"Telek, M., Horv\u00e1th, G.: A minimal representation of Markov arrival processes and a moments matching method. Perform. Eval.\u00a064(9-12), 1153\u20131168 (2007)","journal-title":"Perform. Eval."},{"unstructured":"Telek, M., et al.: Butools - program packages, \n                  \n                    webspn.hit.bme.hu\/~butools\/","key":"8_CR21"},{"issue":"3","key":"8_CR22","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1109\/TDSC.2006.27","volume":"3","author":"A. Th\u00fcmmler","year":"2006","unstructured":"Th\u00fcmmler, A., Buchholz, P., Telek, M.: A novel approach for phase-type fitting with the EM algorithm. IEEE Trans. Dep. Sec. Comput.\u00a03(3), 245\u2013258 (2006)","journal-title":"IEEE Trans. Dep. Sec. Comput."}],"container-title":["Lecture Notes in Computer Science","Analytical and Stochastic Modeling Techniques and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-39408-9_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T23:16:18Z","timestamp":1557789378000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-39408-9_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642394072","9783642394089"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-39408-9_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}