{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:24:09Z","timestamp":1777645449437,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["FI"],"published-print":{"date-parts":[[2021,1,13]]},"abstract":"<jats:p>Probabilistic timed automata are classical timed automata extended with discrete probability distributions over edges. We introduce clock-dependent probabilistic timed automata, a variant of probabilistic timed automata in which transition probabilities can depend linearly on clock values. Clock-dependent probabilistic timed automata allow the modelling of a continuous relationship between time passage and the likelihood of system events. We show that the problem of deciding whether the maximum probability of reaching a certain location is above a threshold is undecidable for clock-dependent probabilistic timed automata. On the positive side, we show that the maximum and minimum probability of reaching a certain location in clock-dependent probabilistic timed automata can be approximated using a region-graph-based approach.<\/jats:p>","DOI":"10.3233\/fi-2021-2000","type":"journal-article","created":{"date-parts":[[2021,1,15]],"date-time":"2021-01-15T12:18:14Z","timestamp":1610713094000},"page":"101-138","source":"Crossref","is-referenced-by-count":4,"title":["Probabilistic Timed Automata with Clock-Dependent Probabilities"],"prefix":"10.1177","volume":"178","author":[{"given":"Jeremy","family":"Sproston","sequence":"first","affiliation":[{"name":"Dipartimento di Informatica, University of Turin, Italy. sproston@di.unito.it"}]}],"member":"179","container-title":["Fundamenta Informaticae"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/FI-2021-2000","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:15Z","timestamp":1777444335000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/FI-2021-2000"}},"subtitle":[],"editor":[{"given":"Matthew","family":"Hague","sequence":"additional","affiliation":[]},{"given":"Igor","family":"Potapov","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1,13]]},"references-count":0,"journal-issue":{"issue":"1-2"},"URL":"https:\/\/doi.org\/10.3233\/fi-2021-2000","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,13]]}}}