S-网的活性分析

讨论了一类结构简单的Petri网-S-网的活性问题，给出了各类S-网的活性判定定理并给出了判定算法．算法主要计算工作是变迁的前序库所集和后继变迁集以及极大强连通子网的判断，这三个过程实际上是一个树的搜索过程，因此算法易于实现，判定效率也大大提高．     

无冲突Petri网的结构活性判定研究

结构活性作为Petri网的重要结构性质,在Petri网活性判定领域具有较高的研究价值。从Petri网有向回路对结构活性的影响入手,分析与判定无冲突Petri网的结构活性,讨论库所元素及其后置变迁之间是否存在有向回路对Petri网结构活性的影响,研究该类Petri网结构活性判定方法的相关条件与结论,得到无冲突Petri网是满足结构活性的充分必要条件。分析结果表明,该判定方法可在多项式时间内判定无冲突Petri网的结构活性。     

基于库所指标分解的Petri网活性与公平性分析

Petri网的分解技术是用于复杂网系统分析的一种有效手段．基于库所指标的Petri网分解方法，将一个复杂的网系统分解成结构简单的子网，分解后的子网保持原网系统的语言行为不变当且仅当具有公共变迁的子网的可达图关于公共变迁是同构的．若分解过程中保持系统的语言行为不变，则在Petri网的活性和公平性方面有着对应关系．本文基于分解给出了Petri网活性判定的充要条件和公平性判定的定理，对基于分解的复杂系统的Petri网分析方法提供了更为有效的理论和可行的技术．     

基于变迁覆盖的制造系统死锁控制策略

基于系统Petri网模型,研究柔性制造系统的死锁控制问题.论文利用变迁覆盖为系统设计活性控制器.变迁覆盖是由一组极大完备资源变迁回路组成的集合,其变迁集覆盖了Petri网中所有极大完备资源变迁回路的变迁集.验证变迁覆盖的有效性,然后仅对有效变迁覆盖中的极大完备资源变迁回路添加控制位置,就得到系统的活性受控Petri网.这种受控Petri网包含的控制位置个数少,从而结构相对简单.最后通过一个例子说明了所提出的死锁控制策略的构成与特点.     

基于Petri网语言的并发系统性质研究

给出Petri网弱活性（无死锁）与活性的两个语言刻画,讨论了同步合成Petri网的语言性质,基于Petri网语言,给出了判定Petri网活性的充分必要条件。同时研究了Petri网同步合成过程中活性保持问题,给出保持活性的充分必要条件。这些结果为讨论网的活性测试和控制提供了形式语言的方法。     

一种扩展了价格信息的时间Petri网

性能和成本分析是业务流程建模的主要目的,扩展了时间信息的Petri网能够有效地进行性能分析,但是对成本分析却无能为力.提出一种扩展了价格信息的时间Petri网--价格时间Petri网.首先为时间变迁扩展价格参数,并使用价格时间变迁系统给出价格时间Petri网的语义;然后提出计价状态类的概念,并证明为状态类扩展累积成本的合理性和完备性;进而给出一种算法来证明有界价格时间Petri网的最小成本可达问题是可判定的;最后给出一个应用例子并得出结论:为时间Petri网扩展价格信息并将其应用于业务流程管理领域是可行的.     

可分解非对称选择网的活性和有界性

活性和有界性是网系统的重要行为特性.从分解以及尽可能简单分解的角度得到了非对称选择网的一个子类,可分解非对称选择网(简称DAC网),证明了DAC网系统活性的充分必要条件,同时给出了DAC网系统活性有界性的充分必要条件,也进一步讨论了判定一个Petri网系统是否是活的有界的DAC网系统的多项式算法.     

Petri网可达性的伪标识判定法

Petri网标识的可达性判定问题是进行Petri网分析的基础。在分析目前现有的判定Petri网可达性的求解方法的基础上,提出一种伪标识判定法。该方法在状态方程法的基础上,利用关联矩阵来判断变迁发射向量是否能够发生来筛除伪标识。通过对实例的求解说明了求解过程并证明了算法能够确保对所得结果的可靠性,减少了算法的时间复杂度。     

Petri网本原可重复向量的求解算法及实现

Petri网本原可重复向量是一个重要结构性质.本文定义了网N的可重复向量表出集pre-SPRV(N),证明一个网的本原可重复向量集是唯一的,并且给出它的一个求解算法.算法首先求出网N变迁扩充网的所有极小T-不变量,由此求得N的一个可重复向量表出集,然后依次考察其中的每一个向量,将其中的多余向量去掉,得出网N的本原可重复向量集.最后算法被实现并用于实例以展示算法性能,相关算法的程序实现可以作为已有Petri网分析工具的一个组件.     

逻辑Petri网的S-组合及活性分析

基于Petri网和逻辑Petri网,提出了S-组合逻辑Petri网的概念。深入研究了S-组合逻辑Petri网的活性继承问题,给出了S-组合逻辑Petri网活性的判定定理和算法,并分析了S-组合网中几种资源共享情况。针对组合逻辑Petri网的几种资源共享情况,提出了相应的利用控制库所实现S-组合逻辑Petri网活性控制的方法。     

POC net,a subclass of Petri nets,and its application to timed Petri nets

Liveness is one of the most important properties of the Petri net analysis. This property is concerned with a capability for firing of transitions. On the other hand, place-liveness is another notion related to liveness, which is concerned with a capability for having tokens in places. Concerning these liveness and place-liveness problems, this paper suggests a new subclass of Petri net, ‘POC nets’, as a superclass of AC nets and DC nets. For this subclass, the equivalence between liveness and place-liveness is shown and a sufficient condition for liveness for this POC net is derived. Then the results are extended to liveness problem of timed Petri nets which have transitions with finite firing durations and the earliest firing rule. Although liveness of a (non-timed) Petri net is neither necessary nor sufficient condition for liveness of a timed Petri net, it is shown that liveness is preserved if the net has POC structure. Furthermore, it is pointed out that if a POC net satisfies some additional condition, Petri net liveness is equivalent to timed Petri net liveness. Finally, it is shown that liveness of timed POC nets with TC structure and the earliest firing rule is decidable with deterministic polynomial time complexity.     

Automating the Conversion of Colored Petri Nets with Qualitative Tokens Into Colored Petri Nets with Quantitative Tokens

The authors describe an algorithm for conversion of colored Petri nets with qualitative tokens into a colored Petri net with quantitative tokens preserving boundedness, mutual exclusion, and liveness properties. This conversion allows the invariance method to be applied to colored Petri nets, which uses the Truncated Set of Solutions finding algorithm for Petri net state equations expressed through systems of linear homogenous Diophantine equations. To show the algorithm’s efficiency, it is applied to the colored Petri net that models the operation of a grid system. Equivalence of net models is tested by constructing and analyzing equal finite-state machine.     

T-组合Petri网的活性和公平性分析

同步合成是研究复杂Ｐｅｔｒｉ网系统性质的有效途径．文中通过引入可引发变迁序偶的概念,研究了Ｔ－组合（同步合成）Ｐｅｔｒｉ网对子网的活性和公平性继承关系,给出了一组Ｔ－组合Ｐｅｔｒｉ网活或公平的充要条件和充分条件．这些结果对网组合同步设计具有重要的指导意义     

Automatic construction of systems of distributed components from nested Petri nets models

Multi-level multi-agent systems (MASs) with dynamic structure are widely used in solving important applied problems in telecommunication, transportation, social, and other systems. Therefore, ensuring correct behavior of such systems is an actual and important task. One of the most error-prone stages of system development in the framework of model-oriented approach is the implementation stage, in the course of which a program code is constructed based on the model developed. This paper presents an algorithm for automated translation of MAS models represented as nested Petri nets into systems of distributed components. Nested Petri nets are the extension of Petri nets in the framework of the nets-within-nets approach, which assumes that tokens in a Petri net may themselves be Petri nets, possess autonomous behavior, and interact with other tokens of the net. This makes it possible to model MASs with dynamic structure in a natural way. The translation presented in this paper preserves distribution level and important behavioral properties (safety, liveness, and conditional liveness) of the original model and ensures fairness of the target system execution. The use of such translation makes it possible to automate construction of distributed MASs by models of nested Petri nets. As a test example, translation of nested Petri nets into systems of distributed components was implemented on the basis of the EJB component technology.     

基于变迁指标分解的Petri网性质分析

Petri网的分解技术是复杂网系统分析的一种重要手段,基于变迁指标的分解方法将系统分解为一组T-网。通过获得分解子网的结构性质以及子网与原网间的性质保持关系,得到了判定原网结构性质的一些方法和结论;同时给出了判定原网系统活性的一个条件。所得结果为结构复杂Petri网的性质分析提供了有效的方法。     

公平网的活性判断

Petri网的活性判断一直是一个广为关心的问题。本文就公平网的活性进行了研究。指出如果一个公平网的有界子网是活的,那么该公平网是活的。并给出了一个公平网活的充分必要条件。     

On systematic methods to remove redundant monitors from liveness-enforcing net supervisors

Petri nets based deadlock prevention for flexible manufacturing systems has received much attention over the past decade, primarily due to the seminal work of Ezpeleta et al. in 1995. A Petri net based deadlock prevention mechanism is usually implemented by adding monitors or control places to a plant Petri net model such that liveness can be enforced. The significance of this methodology lies in that both a plant model and its supervisor are in a same formalism-Petri nets. Due to the inherent complexity of Petri nets, in theory, the number of additional monitors that have to been added to achieve liveness-enforcement purpose for an uncontrolled plant model is exponential with respect to the size of the model. This paper first proposes a systematic method to minimize the number of additional monitors in a liveness-enforcing Petri net supervisor such that the resultant net system has the same permissive behavior while liveness can still be preserved. Furthermore, for the liveness-enforcing Petri net supervisors of flexible manufacturing systems, which have some particular property, an algorithm is developed such that more permissive liveness-enforcing Petri net supervisors can be obtained after liveness-restrictive monitor removal. Compared with the existing techniques of eliminating redundant monitors in the literature, the complete state enumeration of a supervisor is avoided, which implies the high computational efficiency of the methods in this paper. Flexible manufacturing examples are used to demonstrate the proposed approaches.