{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,26]],"date-time":"2025-07-26T09:26:37Z","timestamp":1753521997182,"version":"3.40.3"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031438349"},{"type":"electronic","value":"9783031438356"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-43835-6_16","type":"book-chapter","created":{"date-parts":[[2023,9,14]],"date-time":"2023-09-14T14:32:18Z","timestamp":1694701938000},"page":"221-237","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Matching Distributions Under Structural Constraints"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3053-5175","authenticated-orcid":false,"given":"Aaron","family":"Bies","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2766-9615","authenticated-orcid":false,"given":"Holger","family":"Hermanns","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2551-2814","authenticated-orcid":false,"given":"Maximilian A.","family":"K\u00f6hl","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7113-7376","authenticated-orcid":false,"given":"Andreas","family":"Schmidt","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,9,15]]},"reference":[{"key":"16_CR1","unstructured":"Asmussen, S., Nerman, O., Olsson, M.: Fitting phase-type distributions via the EM algorithm. Scandinavian Journal of Statistics 23(4), 419\u2013441 (1996). http:\/\/www.jstor.org\/stable\/4616418"},{"key":"16_CR2","doi-asserted-by":"publisher","unstructured":"Bobbio, A., Andr\u00e1s Horv\u00e1th and Mikl\u00f3s Telek: Matching three moments with minimal acyclic phase type distributions. Stochastic Models 21(2-3), 303\u2013326 (2005). https:\/\/doi.org\/10.1081\/STM-200056210","DOI":"10.1081\/STM-200056210"},{"key":"16_CR3","doi-asserted-by":"publisher","unstructured":"Bolch, G., Greiner, S., de Meer, H., Trivedi, K.S.: Steady-State Solutions of Markov Chains, chap. 3, pp. 103\u2013151. John Wiley and Sons, Ltd (1998). https:\/\/doi.org\/10.1002\/0471200581.ch3","DOI":"10.1002\/0471200581.ch3"},{"key":"16_CR4","doi-asserted-by":"publisher","unstructured":"Buchholz, P., Dohndorf, I., Kriege, J.: An online approach to estimate parameters of phase-type distributions. In: 2019 49th Annual IEEE\/IFIP International Conference on Dependable Systems and Networks (DSN). pp. 100\u2013111 (2019). https:\/\/doi.org\/10.1109\/DSN.2019.00024","DOI":"10.1109\/DSN.2019.00024"},{"key":"16_CR5","doi-asserted-by":"publisher","unstructured":"Buchholz, P., Felko, I., Kriege, J.: Transformation of acyclic phase type distributions for correlation fitting. In: Dudin, A., De Turck, K. (eds.) Analytical and Stochastic Modeling Techniques and Applications. pp. 96\u2013111. Springer Berlin Heidelberg, Berlin, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-39408-9_8","DOI":"10.1007\/978-3-642-39408-9_8"},{"issue":"2","key":"16_CR6","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1017\/S0305004100030231","volume":"51","author":"DR Cox","year":"1955","unstructured":"Cox, D.R.: A use of complex probabilities in the theory of stochastic processes. Mathematical Proceedings of the Cambridge Philosophical Society 51(2), 313\u2013319 (1955). https:\/\/doi.org\/10.1017\/S0305004100030231","journal-title":"Mathematical Proceedings of the Cambridge Philosophical Society"},{"issue":"3","key":"16_CR7","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 modelling failure-time distributions. Microelectronics Reliability 22(3), 583\u2013602 (1982). https:\/\/doi.org\/10.1016\/0026-2714(82)90033-6","journal-title":"Microelectronics Reliability"},{"key":"16_CR8","doi-asserted-by":"publisher","unstructured":"De Moura, L., Bj\u00f8rner, N.: Z3: An efficient smt solver. In: Proceedings of the Theory and Practice of Software, 14th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. pp. 337\u2013340. TACAS\u201908, Springer-Verlag, Berlin, Heidelberg (2008). https:\/\/doi.org\/10.1007\/978-3-540-78800-3_24","DOI":"10.1007\/978-3-540-78800-3_24"},{"issue":"3\u20134","key":"16_CR9","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1016\/S0166-5316(97)00003-5","volume":"31","author":"A Feldmann","year":"1998","unstructured":"Feldmann, A., Whitt, W.: Fitting mixtures of exponentials to long-tail distributions to analyze network. Perform. Evaluation 31(3\u20134), 245\u2013279 (1998). https:\/\/doi.org\/10.1016\/S0166-5316(97)00003-5","journal-title":"Perform. Evaluation"},{"key":"16_CR10","doi-asserted-by":"publisher","unstructured":"Horv\u00e1th, A., Telek, M.: Phfit: A general phase-type fitting tool. In: Field, T., Harrison, P.G., Bradley, J.T., Harder, U. (eds.) Computer Performance Evaluation, Modelling Techniques and Tools 12th International Conference, TOOLS 2002, London, UK, April 14-17, 2002, Proceedings. Lecture Notes in Computer Science, vol. 2324, pp. 82\u201391. Springer (2002). https:\/\/doi.org\/10.1007\/3-540-46029-2_5","DOI":"10.1007\/3-540-46029-2_5"},{"issue":"2","key":"16_CR11","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1080\/15326340701300712","volume":"23","author":"A Horv\u00e1th","year":"2007","unstructured":"Horv\u00e1th, A., Telek, M.: Matching more than three moments with acyclic phase type distributions. Stochastic Models 23(2), 167\u2013194 (2007). https:\/\/doi.org\/10.1080\/15326340701300712","journal-title":"Stochastic Models"},{"key":"16_CR12","doi-asserted-by":"publisher","unstructured":"Horv\u00e1th, G.: Moment matching-based distribution fitting with generalized hypererlang distributions. In: Dudin, A.N., Turck, K.D. (eds.) Analytical and Stochastic Modelling Techniques and Applications - 20th International Conference, ASMTA 2013, Ghent, Belgium, July 8-10, 2013. Proceedings. Lecture Notes in Computer Science, vol. 7984, pp. 232\u2013246. Springer (2013). https:\/\/doi.org\/10.1007\/978-3-642-39408-9_17","DOI":"10.1007\/978-3-642-39408-9_17"},{"issue":"4","key":"16_CR13","doi-asserted-by":"publisher","first-page":"711","DOI":"10.1080\/15326348908807131","volume":"5","author":"MA Johnson","year":"1989","unstructured":"Johnson, M.A., Taaffe, M.R.: Matching moments to phase distributions: Mixtures of erlang distributions of common order. Communications in Statistics. Stochastic Models 5(4), 711\u2013743 (1989). https:\/\/doi.org\/10.1080\/15326348908807131","journal-title":"Communications in Statistics. Stochastic Models"},{"issue":"2\u20133","key":"16_CR14","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/S0166-5316(02)00179-7","volume":"52","author":"REA Khayari","year":"2003","unstructured":"Khayari, R.E.A., Sadre, R., Haverkort, B.R.: Fitting world-wide web request traces with the EM-algorithm. Perform. Evaluation 52(2\u20133), 175\u2013191 (2003). https:\/\/doi.org\/10.1016\/S0166-5316(02)00179-7","journal-title":"Perform. Evaluation"},{"key":"16_CR15","unstructured":"Kom\u00e1rkov\u00e1, Z.: Phase-type approximation techniques (2012). https:\/\/is.muni.cz\/th\/ysfsq\/thesis.pdf. Bachelor Thesis, Masaryk University, Faculty of Informatics"},{"key":"16_CR16","doi-asserted-by":"publisher","unstructured":"Marie, R.A.: Calculating equilibrium probabilities for $$\\lambda $$(n)\/ck\/1\/n queues. In: Proceedings of the 1980 International Symposium on Computer Performance Modelling, Measurement and Evaluation, PERFORMANCE \u201980, pp. 117\u2013125. Association for Computing Machinery, New York (1980). https:\/\/doi.org\/10.1145\/800199.806155","DOI":"10.1145\/800199.806155"},{"key":"16_CR17","unstructured":"Neuts, M.F.: Probability distributions of phase type. Liber Amicorum Prof. Emeritus H. Florin (1975)"},{"key":"16_CR18","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230130219","volume-title":"Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach","author":"MF Neuts","year":"1981","unstructured":"Neuts, M.F.: Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach. The Johns Hopkins University Press, Baltimore (1981). https:\/\/doi.org\/10.1002\/net.3230130219"},{"key":"16_CR19","doi-asserted-by":"publisher","unstructured":"Pulungan, M.R.: Reduction of Acyclic Phase-Type Representations. Ph.D. thesis, Saarland University (2009). https:\/\/doi.org\/10.22028\/D291-25951","DOI":"10.22028\/D291-25951"},{"issue":"1","key":"16_CR20","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/s10009-013-0296-8","volume":"17","author":"R Pulungan","year":"2015","unstructured":"Pulungan, R., Hermanns, H.: A construction and minimization service for continuous probability distributions. Int. J. Softw. Tools Technol. Transf. 17(1), 77\u201390 (2015). https:\/\/doi.org\/10.1007\/s10009-013-0296-8","journal-title":"Int. J. Softw. Tools Technol. Transf."},{"key":"16_CR21","doi-asserted-by":"publisher","unstructured":"Reinecke, P., Krau\u00df, T., Wolter, K.: Phase-type fitting using hyperstar. In: Balsamo, M.S., Knottenbelt, W.J., Marin, A. (eds.) Computer Performance Engineering - 10th European Workshop, EPEW 2013, Venice, Italy, September 16-17, 2013. Proceedings. Lecture Notes in Computer Science, vol. 8168, pp. 164\u2013175. Springer (2013). https:\/\/doi.org\/10.1007\/978-3-642-40725-3_13","DOI":"10.1007\/978-3-642-40725-3_13"},{"issue":"9\u201312","key":"16_CR22","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. Evaluation 64(9\u201312), 1153\u20131168 (2007). https:\/\/doi.org\/10.1016\/j.peva.2007.06.001","journal-title":"Perform. Evaluation"},{"issue":"3","key":"16_CR23","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. Dependable Secure. Comput. 3(3), 245\u2013258 (2006). https:\/\/doi.org\/10.1109\/TDSC.2006.27","journal-title":"IEEE Trans. Dependable Secure. Comput."},{"key":"16_CR24","volume-title":"Stochastic models : an algorithmic approach","author":"HC Tijms","year":"1994","unstructured":"Tijms, H.C.: Stochastic models\u202f: an algorithmic approach. John Wiley & Sons, New York (1994)"},{"key":"16_CR25","unstructured":"Wolf, V.: Equivalences on Phase Type Processes. Ph.D. thesis, University of Mannheim (2008). https:\/\/madoc.bib.uni-mannheim.de\/1911\/"}],"container-title":["Lecture Notes in Computer Science","Quantitative Evaluation of Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-43835-6_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,14]],"date-time":"2023-09-14T14:36:22Z","timestamp":1694702182000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-43835-6_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031438349","9783031438356"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-43835-6_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"15 September 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"QEST","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Quantitative Evaluation of Systems","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Antwerp","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Belgium","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 September 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 September 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"qest2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.qest.org\/qest2023\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"44","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"23","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"52% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.5","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"4","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}