Petri网格构建探讨

介绍了Petri网的基本定义和对并发系统的描述.指出网格是完全异步并发的基础环境。分析了Web服务和网格资源是构造Petri网格的变化元素和状态元素,进而基于Web services标准和WSRF规范构造了Petri网格体系结构的层次模型,指出Petri网格应用就是构造Petri网模型实例。     

Reduction rules for time Petri nets

The goal of net reduction is to increase the effectiveness of Petri-netbased real-time program analysis. Petri-net-based analysis, like all reachabilitybased methods, suffers from the state explosion problem. Petri net reduction is one key method for combating this problem. In this paper, we extend several rules for the reduction of ordinary Petri nets to work with time Petri nets. We introduce a notion of equivalence among time Petri nets, and prove that our reduction rules yield equivalent nets. This notion of equivalence guarantees that crucial timing and concurrency properties are preserved.     

Decomposition of Petri nets

The problem of splitting any given Petri net into functional subnets is considered. The properties of functional subnets and sets that induce them are investigated. An algorithm of polynomial complexity is constructed for decomposition of nets.Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 131–140, September–October 2004.     

Reduction rules for time Petri nets

 The goal of net reduction is to increase the effectiveness of Petri-net-based real-time program analysis. Petri-net-based analysis, like all reachability-based methods, suffers from the state explosion problem. Petri net reduction is one key method for combating this problem. In this paper, we extend several rules for the reduction of ordinary Petri nets to work with time Petri nets. We introduce a notion of equivalence among time Petri nets, and prove that our reduction rules yield equivalent nets. This notion of equivalence guarantees that crucial timing and concurrency properties are preserved. Received September 12, 1994/July 4, 1995     

Implementing compositionality for stochastic Petri nets

An implementation of compositionality for stochastic well-formed nets (SWN) and, consequently, for generalized stochastic Petri nets (GSPN) has been recently included in the GreatSPN tool. Given two SWNs and a labelling function for places and transitions, it is possible to produce a third one as a superposition of places and transitions of equal label. Colour domains and arc functions of SWNs have to be treated appropriately. The main motivation for this extension was the need to evaluate a library of fault-tolerant “mechanisms” that have been recently defined, and are now under implementation, in a European project called TIRAN. The goal of the TIRAN project is to devise a portable software solution to the problem of fault tolerance in embedded systems, while the goal of the evaluation is to provide evidence of the efficacy of the proposed solution. Modularity being a natural “must” for the project, we have tried to reflect it in our modelling effort. In this paper, we discuss the implementation of compositionality in the GreatSPN tool, and we show its use for the modelling of one of the TIRAN mechanisms, the so-called local voter. Published online: 24 August 2001     

基于标签Petri网的OWL-S建模与分析

提出了OWL-S过程模型的标签Petri网建模方法,给出了过程模型到LPN的转换规则,利用LPN分析方法对模型进行了可达性分析、死锁检测,能有效地检验过程模型描述的正确性。在OWL-S编辑器中嵌入该功能,完善了编辑器的功能。     

Branching processes of Petri nets

Summary The notion of a branching process is introduced, as a formalization of an initial part of a run of a Petri net, including nondeterministic choices. This generalizes the notion of a process in a natural way. It is shown that the set of branching processes of a Petri net is a complete lattice, with respect to the natural notion of partial order. The largest element of this lattice is the unfolding of the Petri net.     

A compositional dataflow semantics for Petri nets

We give a semantics for place/transition nets, which describes the input/out-put behaviour using fixed point techniques. The semantics is shown to be compositional w.r.t. the net operators parallel composition, feedback and output merging. We prove consistency with the step sequence semantics and thus give an equivalent operational semantics.This work was partially supported by the Deutsche Forschungsgemeinschaft, SFB 342     

基于DISCOVERER的Petri网不变式自动生成*

在Petri网的验证中,代数不变式起着非常重要的作用。将Petri网建模为半代数变迁系统,提出了自动生成不变式的算法,该不变式有助于更好地分析Petri网可达空间。算法首先将Petri网的不变式假定为一个含参数系统,然后通过求解半代数系统来求解不变式中的参数;最后,基于DISCOVERER和QEPCAD等Maple软件包实现了该算法,并通过实例说明了算法的有效性。     

Estimation methods for nonregenerative stochastic Petri nets

When a computer, manufacturing, telecommunication, or transportation system is modeled as a stochastic Petri net (SPN), many long-run performance characteristics of interest can be expressed as time-average limits of the associated marking process. For nets with generally-distributed firing times, such limits often cannot be computed analytically or numerically, but must be estimated using simulation. Previous work on estimation methods for SPNs has focused on the case in which there exists a sequence of regeneration points for the marking process of the net, so that point estimates and confidence intervals for time-average limits can be obtained using the regenerative method for analysis of simulation output. This paper is concerned with SPNs for which the regenerative method is not applicable. We provide conditions on the clock-setting distributions and new-marking probabilities of an SPN under which time-average limits are well defined and the output process of the simulation obeys a multivariate functional central limit theorem. It then follows from results of Glynn and Iglehart (1990) that methods based on standardized time series can be used to obtain strongly consistent point estimates and asymptotic confidence intervals for time-average limits. In particular, the method of batch means is applicable. Moreover, the methods of Munoz and Glynn can be used to obtain point estimates and confidence intervals for ratios of time-average limits. We illustrate our results using an SPN model of an interactive video-on-demand system     

Reduction of the supervisory control problem for Petri nets

The authors prove a reduction theorem for the supervisory control problem for general Petri nets with general legal sets. To design control laws guaranteeing that the marking stays within the legal set, it suffices to consider a sub-Petri net of the full model. This extends existing design algorithms, allows to prove an important property of maximally permissive control laws and limits the number of events which need to be observed     

Investigating the applicability of Petri nets for rule-based systemverification

It is suggested that as rule-based system (RBS) technology gains wider acceptance, the need to create and maintain large knowledge bases will assume greater importance. Demonstrating a rule base to be free from error remains one of the obstacles to the adoption of this technology. An approach to RBS verification in which the system is modeled as a Petri net on which error detection is performed is presented. A set of propositions is formulated to locate errors of redundancy, conflict, circularity, and gaps in domain knowledge. Rigorous proofs of these propositions are provided. Difficulties in implementing a Petri net-based verifier and the potential restrictions of the applicability of this approach are discussed     

Shrinking of Time Petri nets

The problem of the synthesis of time bounds enforcing good properties for reactive systems has been much studied in the literature. These works mainly rely on dioid algebra theory and require important restrictions on the structure of the model (notably by restricting to timed event graphs). In this paper, we address the problems of existence and synthesis of shrinkings of the bounds of the time intervals of a time Petri net, such that a given property is verified. We show that this problem is decidable for CTL properties on bounded time Petri nets. We then propose a symbolic algorithm based on the state class graph for a fragment of CTL. If the desired property “includes” k-boundedness, the proposed algorithm terminates even if the net is unbounded. A prototype has been implemented in our tool Romeo and the method is illustrated on a small case study from the literature.     

Behavior Relativity of Petri Nets

This paper presents a novel methodology for modelling and analyzing of behavior relations of concurrent systems. The set of all firing sequences of a Petri net is an important tool for describing the dynamic behavior of concurrent systems. In this paper, the behavior relativity of two concurrent subsystems in their synchronous composition is presented. Such behavior relativities, including Controlled Relativity, United Relativity, Interactive Relativity and Exclusive Relativity, are defined respectively. The properties of the relativities are discussed in detail. The analysis method for these properties is based on minimum T-invariants, when two subsystems are live bounded Petri nets. A well-known example has also been analyaed using the new methodology to demonstrate the advantages of the proposed methodology.     

Compositional analysis of Petri nets

Foundations of compositional analysis of Petri nets are presented. This analysis consist of the determination of properties of a given Petri net from the properties of its functional subnets. Compositional analysis covers the investigation of behavioral and structural properties of Petri nets with the help of matrix methods that use fundamental equations and invariants. The exponential acceleration of computations as a function of the dimensionality of a net is obtained. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 143–154, January–February 2006.