{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,7]],"date-time":"2025-06-07T17:41:42Z","timestamp":1749318102746,"version":"3.40.3"},"publisher-location":"Cham","reference-count":30,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030557539"},{"type":"electronic","value":"9783030557546"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","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":[[2020]]},"DOI":"10.1007\/978-3-030-55754-6_23","type":"book-chapter","created":{"date-parts":[[2020,8,9]],"date-time":"2020-08-09T23:02:37Z","timestamp":1597014157000},"page":"381-400","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Transformation of Hybrid Petri Nets with Stochastic Firings into a Subclass of Stochastic Hybrid Automata"],"prefix":"10.1007","author":[{"given":"Carina","family":"Pilch","sequence":"first","affiliation":[]},{"given":"Maurice","family":"Krause","sequence":"additional","affiliation":[]},{"given":"Anne","family":"Remke","sequence":"additional","affiliation":[]},{"given":"Erika","family":"\u00c1brah\u00e1m","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,8,10]]},"reference":[{"issue":"6","key":"23_CR1","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1016\/S1474-6670(17)43388-X","volume":"30","author":"M Allam","year":"1997","unstructured":"Allam, M., Alla, H.: Modelling production systems by hybrid automata and hybrid petri nets. IFAC Proc. Vol. 30(6), 343\u2013348 (1997)","journal-title":"IFAC Proc. Vol."},{"issue":"1","key":"23_CR2","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/0304-3975(94)00202-T","volume":"138","author":"R Alur","year":"1995","unstructured":"Alur, R., Courcoubetis, C.A., Halbwachs, N., Henzinger, T.A., Ho, P.H., Nicollin, X., Olivero, A., Sifakis, J., Yovine, S.: The algorithmic analysis of hybrid systems. Theor. Comput. Sci. 138(1), 3\u201334 (1995)","journal-title":"Theor. Comput. Sci."},{"issue":"10","key":"23_CR3","doi-asserted-by":"publisher","first-page":"812","DOI":"10.1109\/TSE.2006.104","volume":"32","author":"H Bohnenkamp","year":"2006","unstructured":"Bohnenkamp, H., D\u2019Argenio, P.R., Hermanns, H., Katoen, J.P.: MODEST: a compositional modeling formalism for hard and softly timed systems. IEEE Trans. Softw. Eng. 32(10), 812\u2013830 (2006)","journal-title":"IEEE Trans. Softw. Eng."},{"key":"23_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1007\/978-3-662-54580-5_9","volume-title":"Tools and Algorithms for the Construction and Analysis of Systems","author":"CE Budde","year":"2017","unstructured":"Budde, C.E., Dehnert, C., Hahn, E.M., Hartmanns, A., Junges, S., Turrini, A.: JANI: quantitative model and tool interaction. In: Legay, A., Margaria, T. (eds.) TACAS 2017. LNCS, vol. 10206, pp. 151\u2013168. Springer, Heidelberg (2017). https:\/\/doi.org\/10.1007\/978-3-662-54580-5_9"},{"key":"23_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/978-3-030-17465-1_14","volume-title":"Tools and Algorithms for the Construction and Analysis of Systems","author":"N Cauchi","year":"2019","unstructured":"Cauchi, N., Abate, A.: $$\\sf StocHy$$: automated verification and synthesis of stochastic processes. In: Vojnar, T., Zhang, L. (eds.) TACAS 2019. LNCS, vol. 11428, pp. 247\u2013264. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-17465-1_14"},{"issue":"1","key":"23_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ic.2005.07.001","volume":"203","author":"PR D\u2019Argenio","year":"2005","unstructured":"D\u2019Argenio, P.R., Katoen, J.P.: A theory of stochastic systems part I: stochastic automata. Inf. Comput. 203(1), 1\u201338 (2005)","journal-title":"Inf. Comput."},{"issue":"1","key":"23_CR7","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1023\/A:1008330914786","volume":"11","author":"R David","year":"2001","unstructured":"David, R., Alla, H.: On hybrid petri nets. Discrete Event Dyn. Syst. 11(1), 9\u201340 (2001)","journal-title":"Discrete Event Dyn. Syst."},{"issue":"3","key":"23_CR8","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1111\/j.2517-6161.1984.tb01308.x","volume":"46","author":"M Davis","year":"1984","unstructured":"Davis, M.: Piecewise-deterministic Markov processes: a general class of non-diffusion stochastic models. J. Roy. Stat. Soc. Ser. B (Methodol.) 46(3), 353\u2013388 (1984)","journal-title":"J. Roy. Stat. Soc. Ser. B (Methodol.)"},{"key":"23_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1007\/978-3-642-38697-8_6","volume-title":"Application and Theory of Petri Nets and Concurrency","author":"C Eisentraut","year":"2013","unstructured":"Eisentraut, C., Hermanns, H., Katoen, J.-P., Zhang, L.: A semantics for every GSPN. In: Colom, J.-M., Desel, J. (eds.) PETRI NETS 2013. LNCS, vol. 7927, pp. 90\u2013109. Springer, Heidelberg (2013). https:\/\/doi.org\/10.1007\/978-3-642-38697-8_6"},{"key":"23_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"258","DOI":"10.1007\/978-3-540-31954-2_17","volume-title":"Hybrid Systems: Computation and Control","author":"G Frehse","year":"2005","unstructured":"Frehse, G.: PHAVer: algorithmic verification of hybrid systems past HyTech. In: Morari, M., Thiele, L. (eds.) HSCC 2005. LNCS, vol. 3414, pp. 258\u2013273. Springer, Heidelberg (2005). https:\/\/doi.org\/10.1007\/978-3-540-31954-2_17"},{"key":"23_CR11","doi-asserted-by":"crossref","unstructured":"Fr\u00e4nzle, M., Hahn, E.M., Hermanns, H., Wolovick, N., Zhang, L.: Measurability and safety verification for stochastic hybrid systems. In: 14th ACM International Conference on Hybrid Systems: Computation and Control. HSCC 2011, pp. 43\u201352. ACM, New York (2011)","DOI":"10.1145\/1967701.1967710"},{"key":"23_CR12","doi-asserted-by":"crossref","unstructured":"Ghasemieh, H., Remke, A., Haverkort, B.: Analysis of a sewage treatment facility using hybrid petri nets. In: 7th EAI International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2013. pp. 165\u2013174. ICST (2013)","DOI":"10.4108\/icst.valuetools.2013.254384"},{"key":"23_CR13","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1016\/j.peva.2016.09.002","volume":"105","author":"M Gribaudo","year":"2016","unstructured":"Gribaudo, M., Remke, A.: Hybrid Petri nets with general one-shot transitions. Perform. Eval. 105, 22\u201350 (2016)","journal-title":"Perform. Eval."},{"key":"23_CR14","unstructured":"Hahn, E.M., Hartmanns, A., Hermanns, H.: Reachability and reward checking for stochastic timed automata. ECEASST 70 (2014)"},{"issue":"2","key":"23_CR15","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/s10703-012-0167-z","volume":"43","author":"EM Hahn","year":"2013","unstructured":"Hahn, E.M., Hartmanns, A., Hermanns, H., Katoen, J.P.: A compositional modelling and analysis framework for stochastic hybrid systems. Formal Meth. Syst. Des. 43(2), 191\u2013232 (2013)","journal-title":"Formal Meth. Syst. Des."},{"key":"23_CR16","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1007\/978-3-642-59615-5_13","volume-title":"Verification of Digital and Hybrid systems, NATO ASI Series","author":"TA Henzinger","year":"2000","unstructured":"Henzinger, T.A.: The theory of hybrid automata. In: Inan, M.K., Kurshan, R.P. (eds.) Verification of Digital and Hybrid systems, NATO ASI Series, vol. 170, pp. 265\u2013292. Springer, Berlin, Heidelberg (2000)"},{"issue":"1","key":"23_CR17","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1006\/jcss.1998.1581","volume":"57","author":"TA Henzinger","year":"1998","unstructured":"Henzinger, T.A., Kopke, P.W., Puri, A., Varaiya, P.: What\u2019s decidable about hybrid automata? J. Comput. Syst. Sci. 57(1), 94\u2013124 (1998)","journal-title":"J. Comput. Syst. Sci."},{"key":"23_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1007\/978-3-030-30281-8_11","volume-title":"Quantitative Evaluation of Systems","author":"J H\u00fcls","year":"2019","unstructured":"H\u00fcls, J., Pilch, C., Schinke, P., Delicaris, J., Remke, A.: State-space construction of hybrid petri nets with multiple stochastic firings. In: Parker, D., Wolf, V. (eds.) QEST 2019. LNCS, vol. 11785, pp. 182\u2013199. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-30281-8_11"},{"key":"23_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1007\/978-3-030-21759-4_9","volume-title":"Formal Techniques for Distributed Objects, Components, and Systems","author":"J H\u00fcls","year":"2019","unstructured":"H\u00fcls, J., Remke, A.: Model checking HPnGs in multiple dimensions: representing state sets as convex polytopes. In: P\u00e9rez, J.A., Yoshida, N. (eds.) FORTE 2019. LNCS, vol. 11535, pp. 148\u2013166. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-21759-4_9"},{"key":"23_CR20","doi-asserted-by":"crossref","unstructured":"Jongerden, M., H\u00fcls, J., Haverkort, B., Remke, A.: Assessing the cost of energy independence. In: 2016 IEEE International Energy Conference, ENERGYCON, pp. 1\u20136. IEEE (2016)","DOI":"10.1109\/ENERGYCON.2016.7514139"},{"issue":"2","key":"23_CR21","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1109\/TSMCA.2007.914777","volume":"38","author":"XD Koutsoukos","year":"2008","unstructured":"Koutsoukos, X.D., Riley, D.: Computational methods for verification of stochastic hybrid systems. IEEE Trans. Syst. Man Cybern. Part A Syst. Humans 38(2), 385\u2013396 (2008)","journal-title":"IEEE Trans. Syst. Man Cybern. Part A Syst. Humans"},{"issue":"1","key":"23_CR22","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/S0304-3975(01)00046-9","volume":"282","author":"M Kwiatkowska","year":"2002","unstructured":"Kwiatkowska, M., Norman, G., Segala, R., Sproston, J.: Automatic verification of real-time systems with discrete probability distributions. Theor. Comput. Sci. 282(1), 101\u2013150 (2002)","journal-title":"Theor. Comput. Sci."},{"issue":"1","key":"23_CR23","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/s10703-006-0005-2","volume":"29","author":"MZ Kwiatkowska","year":"2006","unstructured":"Kwiatkowska, M.Z., Norman, G., Parker, D., Sproston, J.: Performance analysis of probabilistic timed automata using digital clocks. Formal Meth. Syst. Des. 29(1), 33\u201378 (2006)","journal-title":"Formal Meth. Syst. Des."},{"key":"23_CR24","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/j.tcs.2012.05.023","volume":"446","author":"H Motallebi","year":"2012","unstructured":"Motallebi, H., Azgomi, M.A.: Modeling and verification of hybrid dynamic systems using multisingular hybrid Petri nets. Theor. Comput. Sci. 446, 48\u201374 (2012)","journal-title":"Theor. Comput. Sci."},{"key":"23_CR25","doi-asserted-by":"crossref","unstructured":"Pilch, C., Hartmanns, A., Remke, A.: Classic and non-prophetic model checking for hybrid petri nets with stochastic firings. In: 23rd ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2020. ACM, New York (2020)","DOI":"10.1145\/3365365.3382198"},{"key":"23_CR26","doi-asserted-by":"crossref","unstructured":"Pilch, C., Remke, A.: Statistical model checking for hybrid petri nets with multiple general transitions. In: 47th Annual IEEE\/IFIP International Conference on Dependable Systems and Networks, DSN 2017, pp. 475\u2013486. IEEE (2017)","DOI":"10.1109\/DSN.2017.41"},{"key":"23_CR27","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/11587392_4","volume-title":"Stochastic Hybrid Systems: Theory and Safety Critical Applications, LNCIS","author":"M Prandini","year":"2006","unstructured":"Prandini, M., Hu, J.: A stochastic approximation method for reachability computations. In: Blom, H., Lygeros, J. (eds.) Stochastic Hybrid Systems: Theory and Safety Critical Applications, LNCIS, vol. 337, pp. 107\u2013139. Springer, Berlin, Heidelberg (2006). https:\/\/doi.org\/10.1007\/11587392_4"},{"key":"23_CR28","doi-asserted-by":"publisher","unstructured":"Soudjani, S.E.Z., Gevaerts, C., Abate, A.: FAUST2: Formal Abstractions of Uncountable-STate STochastic processes. In: Baier, C., Tinelli, C. (eds.) TACAS 2015. LNCS, vol. 9035, pp. 272\u2013286. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-46681-0_23","DOI":"10.1007\/978-3-662-46681-0_23"},{"key":"23_CR29","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1007\/3-540-45352-0_5","volume-title":"Formal Techniques in Real-Time and Fault-Tolerant Systems","author":"J Sproston","year":"2000","unstructured":"Sproston, J.: Decidable model checking of probabilistic hybrid automata. In: Joseph, M. (ed.) FTRTFT 2000. LNCS, vol. 1926, pp. 31\u201345. Springer, Heidelberg (2000). https:\/\/doi.org\/10.1007\/3-540-45352-0_5"},{"issue":"6","key":"23_CR30","doi-asserted-by":"publisher","first-page":"572","DOI":"10.3166\/EJC.18.572-587","volume":"18","author":"L Zhang","year":"2012","unstructured":"Zhang, L., She, Z., Ratschan, S., Hermanns, H., Hahn, E.M.: Safety verification for probabilistic hybrid systems. Eur. J. Control 18(6), 572\u2013587 (2012)","journal-title":"Eur. J. Control"}],"container-title":["Lecture Notes in Computer Science","NASA Formal Methods"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-55754-6_23","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,11]],"date-time":"2024-08-11T14:49:04Z","timestamp":1723387744000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-55754-6_23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030557539","9783030557546"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-55754-6_23","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"10 August 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"NFM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"NASA Formal Methods Symposium","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Moffett Field, CA","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"USA","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 May 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 May 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"nfm2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/ti.arc.nasa.gov\/events\/nfm-2020\/","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":"62","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":"20","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":"5","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":"32% - 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":"3.2","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":"4.5","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)"}},{"value":"The conference was held virtually due to the COVID-19 pandemic.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}