{"title":"带PRI跃迁的NMSPN时域分析","authors":"A. Horváth, M. Telek","doi":"10.1109/PNPM.2001.953365","DOIUrl":null,"url":null,"abstract":"The time domain analysis of non-Markovian stochastic Petri nets (NMSPNs) with preemptive repeat identical (pri) type transitions is considered in this paper. The set of time domain equations describing the evolution of the marking process is provided. The relation of the time domain and the formerly available transform domain description is discussed. Based on the time domain description of the process a simple numerical procedure is provided to analyze the transient behavior. Two examples are calculated to illustrate the proposed numerical method.","PeriodicalId":364695,"journal":{"name":"Proceedings 9th International Workshop on Petri Nets and Performance Models","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2001-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time domain analysis of NMSPN with PRI transitions\",\"authors\":\"A. Horváth, M. Telek\",\"doi\":\"10.1109/PNPM.2001.953365\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The time domain analysis of non-Markovian stochastic Petri nets (NMSPNs) with preemptive repeat identical (pri) type transitions is considered in this paper. The set of time domain equations describing the evolution of the marking process is provided. The relation of the time domain and the formerly available transform domain description is discussed. Based on the time domain description of the process a simple numerical procedure is provided to analyze the transient behavior. Two examples are calculated to illustrate the proposed numerical method.\",\"PeriodicalId\":364695,\"journal\":{\"name\":\"Proceedings 9th International Workshop on Petri Nets and Performance Models\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 9th International Workshop on Petri Nets and Performance Models\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PNPM.2001.953365\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 9th International Workshop on Petri Nets and Performance Models","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PNPM.2001.953365","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Time domain analysis of NMSPN with PRI transitions
The time domain analysis of non-Markovian stochastic Petri nets (NMSPNs) with preemptive repeat identical (pri) type transitions is considered in this paper. The set of time domain equations describing the evolution of the marking process is provided. The relation of the time domain and the formerly available transform domain description is discussed. Based on the time domain description of the process a simple numerical procedure is provided to analyze the transient behavior. Two examples are calculated to illustrate the proposed numerical method.