Petri网的TT型子网精细化操作性质分析及其应用

针对企业用加工厂或车间加工某种产品等这一类业务处理问题，提出了用Petri网精细化操作解决问题的方案。定义了一种TT-型子网，用这种子网分别对Petri网系统中的某些变迁进行细化，得到更细致、更精确的Petri网系统。研究了Petri网精细化操作的动态性质保持问题，给出这种精细化操作保持活性、有界性、可回复性和公平性的充要条件；本文的结果可为Petri网系统静态和动态性质的考察提供有效途径，为Petri网复杂大系统的分析提供重要手段，并特别适合于一类业务系统的描述和处理，具有一定的实用价值。

The Analysis and Application of a TT Type Petri Net's Subnet Refinement

A scheme is obtained using a kind of Petri net refinement, according to process of some enterprise using a plant or workshop to produce some product. A TF-type subnet is defined. A refinement Petri net is obtained through using the kind of suhnet to replace some transitions of the ordinary Petri net. Dynamicproperties have been investigated. The sufficient and necessary conditions of liveness preservation, boundedness preservation, reversibility preservation and fairness preservation are presented. These results are useful for studying the static and dynamic properties of Petri nets and analysing properties for large complex system. The refinement method is practical to use in reality.