延迟时间Petri网的验证分析

延迟时间Petri网（Delay Time Petri Nets，DTPN）是一类重要的时间扩展Petri网系统，解决了其他时间扩展Petri网（如时间Petri网）在保存时间约束时所面临的困难。可调度验证的目的是验证工作流模型时间约束的合理性，对流程实例的时间可达性进行仿真。提出一种基于DTPN的时间约束工作流验证分析方法。给出了DTPN的相关定义，并结合工作流控制结构描述了变迁可触发的时间条件；提出了DTPN触发点的概念以及基于此的验证分析算法；简要分析了DTPN的特性。DTPN的研究丰富完善了现有时间Petri网体系，具有积极的意义。     

基于DTPN的时间Petri网的组件级化简规则

时间Petrl网(TPNs)是实时系统时间特性常用的描述和验证的Petri网模型.组件级化简方法是TPN模型常用的分析方法,在保持外部可观察时间特性的前提下,将组件TPN模型化简成一个很简单的TPN模型.然而它却失去了组件内部的性质,如冲突和并发等性质.文中引人延迟时间Petri网(DTPN),通过组件TPN模型向DTPN模型转化,使化简后模型既保持外部可观察时间特性,又保持组件内部的冲突和并发等性质.为了分析化简后的DTPN模型,文中还提出了一种新的DT-PN调度分析方法.最后通过对一个C2系统的组件TPN模型的分析实例,验证该方法的有效性.     

一种随机Petri网模拟系统时延分析的新方法*

本文首先引入了时延网和闭网的概念,证明了Petri网N为时延网的充要条件是其闭网为常返网;然后,从时延网模型出发,讨论了变迁发射时间为任意分布的随机离散事件系统时延特性的求取方法,给出了时延密度的计算公式。     

Discrete Time Stochastic Petri Nets

Basic graph models of processes, such as Petri nets, have usually omitted the concept of time as a parameter. Time has been added to the Petri net model in two ways. The timed Petri net (TPN) uses a fixed number of discrete time intervals. The stochastic Petri net (SPN) uses an exponentially distributed random variable. In this paper, a discrete time stochastic Petri model is described. These discrete time SPN's fill the gap between TPN and normal SPN. However, the use of discrete time complicates the SPN model in that more than one transition may fire at a time step. Finally, an example of a live and bounded Petri net which has nonempty, disjoint, recurrent subsets of markings is given.     

时间Petri网的随机模拟

模拟是Peri网进行系统分析的常用方法之一。由于时间Petri网采用时间区间来描述变迁实施的时间范围,因此变迁的实施时间点在区间内是不确定的。提出了时间Petri网的随机模拟方法。该方法在变迁开始使能时,根据某种随机分布确定实施区间内的实施时间点;然后基于模拟仿真的实验数据,运用统计分析方法及算法,构造时间Petri网状态类树,计算变迁实施区间及实施概率,为时间Petri网的系统模拟提供了一种新的探索途径。     

Testing Equivalences of Time Petri Nets

Programming and Computer Software - In the paper, we study a family of testing equivalences in interleaving, partial-order semantics, and combined semantics in the context of safe time Petri nets...     

时间Petri网弱语义模型的形式化分析

时间Petri网存在强语义和弱语义两种模型,弱语义模型更适合建模和分析外部环境触发的冲突选择问题,但其形式语义和可达性分析方面的研究,却很少有人问津。利用带标号的变迁系统定义时间Petri网弱语义模型的形式语义,采用时间戳状态类方法分析它的可达性,并证明了可达性问题的可判性和状态类时间戳的全局时间性质。     

一种构造时间Petri网状态类的方法

提出一种基于全局时间的时间Petri网状态类构造方法——扩展时间戳状态类方法。该方法通过添加变迁的同步使能信息到时间戳状态类,并修改可实施条件和实施规则,解决了时间戳状态类方法中同步使能变迁的可实施性问题。     

Reachability analysis of real-time systems using time Petri nets

Time Petri nets (TPNs) are a popular Petri net model for specification and verification of real-time systems. A fundamental and most widely applied method for analyzing Petri nets is reachability analysis. The existing technique for reachability analysis of TPNs, however, is not suitable for timing property verification because one cannot derive end-to-end delay in task execution, an important issue for time-critical systems, from the reachability tree constructed using the technique. In this paper, we present a new reachability based analysis technique for TPNs for timing property analysis and verification that effectively addresses the problem. Our technique is based on a concept called clock-stamped state class (CS-class). With the reachability tree generated based on CS-classes, we can directly compute the end-to-end time delay in task execution. Moreover, a CS-class can be uniquely mapped to a traditional state class based on which the conventional reachability tree is constructed. Therefore, our CS-class-based analysis technique is more general than the existing technique. We show how to apply this technique to timing property verification of the TPN model of a command and control (C2) system.     

时间Petri网分析工具的实现

时间Petri网是非常适合描述实时系统的模型工具,由于时间的复杂性因素使得它的可达性分析变得非常困难。该文在分析了基于全局时间变量的时间Petri网的可达性算法的基础上,采用OOP技术,实现了一个时间petri网的分析工具。     

Hybrid Functional Petri Nets as MP systems

In this work we give a formalization of Hybrid Functional Petri Nets, shortly HFPN, an extension of Petri Nets for biopathways modelling, and we compare them with Metabolic P Systems. An introduction to both the formalisms is given, together with highlights about respective similarities and differences. Their equivalence is thus proved by means of a theorem which holds under quite general hypotheses. The case study of the lac operon gene regulatory mechanism in the glycolytic pathway of Escherichia coli is modeled by an MP system which provides the same dynamics of an equivalent HFPN model.     

Reduction of constraints for controller synthesis based on safe Petri Nets

In this paper, we present an efficient method based on safe Petri Nets to construct a controller. A set of linear constraints allows forbidding the reachability of specific states. The number of these so-called forbidden states, and consequently the number of constraints, are large and lead to a large number of control places. A systematic method to reduce the size and the number of constraints for safe Petri Nets is offered. By using a method based on Petri Net invariants, maximal permissive controllers are determined.     

State Observer for DES Under Partial Observation with Time Petri Nets

This paper deals with a state observation approach for Discrete Event Systems with a known behavior. The system behavior is modeled using a Time Petri Net model. The proposed approach exploits temporal constraints to assess the system state and therefore detect and determine faults given partial observability of events. The goal here is to track the system state and to identify the event scenarios which occur on the system. Our approach uses the class graph of the Time Petri Net which models the complete system behavior to develop a state observer which is a base to perform online fault detection and diagnosing.

Compositional schedulability analysis of real-time systems using time Petri nets

This paper presents an approach to the schedulability analysis of real-time systems modeled in time Petri nets by separating timing properties from other behavioral properties. The analysis of behavioral properties is conducted based on the reachability graph of the underlying Petri net, whereas timing constraints are checked in terms of absolute and relative firing domains. If a specific task execution is schedulable, we calculate the time span of the task execution, and pinpoint nonschedulable transitions to help adjust timing constraints. A technique for compositional timing analysis is also proposed to deal with complex task sequences, which not only improves efficiency but also facilitates the discussion of the reachability issue with regard to schedulability. We identified a class of well-structured time Petri nets such that their reachability can be easily analyzed.     

基于时间Petri网的多处理机的调度算法

任务调度是并行分布式计算机中最有挑战性的问题之一。如何合理有效地进行任务调度将直接影响到系统的并行效率。文中通过将任务图转换为时间petri网的方法,利用求时间petri网的可覆盖树的方法来分析网系统的状态变化和变迁的发生序列,从而求出关键路径和顺序队列。再将该队列分配到处理机上,来缩短相关任务图的调度长度。     

时间Petri网的ECS-class可达性分析方法

时间Petri网(TPNs)是实时系统时间特性常用的描述和验证的Petri网模型,可达性分析是Petri网模型最基本分析方法.基于"状态类(State-class)"的可达性分析方法不能正确计算并发情况下的时间延迟,而基于"带时间戳的状态类(CS-class)"的可达性分析方法不能正确处理冲突情况下的事件调度,因此提出了"扩展的带时间戳的状态类(ECS-class)"可达性分析方法.它不仅正确的计算时间延迟,而且合理地调度事件.并对一个时间Petri网模型进行可达性分析验证.     

基于时间Petri网的多处理机的调度算法

任务调度是并行分布式计算机中最有挑战性的问题之一。如何合理有效地进行任务调度将直接影响到系统的并行效率。文中通过将任务图转换为时间petri网的方法,利用求时间petri网的可覆盖树的方法来分析网系统的状态变化和变迁的发生序列,从而求出关键路径和顺序队列。再将该队列分配到处理机上,来缩短相关任务图的调度长度。     

基于随机时间Petri网的安全性分析方法

在分析了现有的Petri网与安全性结合的方法的缺陷后,提出了一种基于随机时间Petri网(stochastic Time Petri Nets,sTPN)的系统安全性分析方法,利用sTPN建立的系统模型不局限于指数分布和确定分布的变迁,也不局限于一般分布的变迁的使能限制。通过修改后的瞬态随机状态类图以及sTPN的瞬态分析算法可以得到基于路径的安全性指标。最后给出核反应堆冷却循环系统的例子,说明了所提方法的可用性和合理性。     

基于时间Petri网的工作流模型分析

工作流管理的最终目的是实现适当的人在适当的时间执行适当的活动.企业要获得竞争力,需要在工作流模型中考虑与业务过程相关的时间约束.一个考虑时间因素的工作流模型,需要在投入运行前进行时间规范与验证,以保证工作流执行的时间协调.通过为工作流网元素扩展时间属性,得到集成业务过程时间约束的工作流模型??时间约束工作流网(TCWF-nets).基于对业务活动的可调度性分析,提出了时序一致性验证方法,确保工作流执行中活动之间时间交互的安全性.在所附加的时间约束下,该可调度分析方法不仅能够检测某一给定工作流调度的时间可行性,还能对特定的实例给出一个最优调度,使工作流执行延迟最小.研究结果表明,该方法支持业务过程的时间建模与分析,对于丰富现有工作流系统的时间管理功能以及增强现存工作流软件对动态业务环境的适应性具有重要意义.     

基于Time Petri Nets的UML时序图分析

引入一种称为Clock的变迁,用来改进TPNs,讨论了如何将时序图转换为基于Clock变迁的TPNs,使这种TPNs能正确反映时序图的流程和时间约束。最后,利用普通Petri网的可达性分析技术对时序图模型进行了分析和验证。