Application of the Theory of Petri Nets in the Development of Simulation Models of Business Processes Based on the IDEF3 Methodology

The relevance of developing simulation models of business processes is due to the need to improve the quality of analysis of the subject area by conducting computational experiments on the developed models in popular notations. To describe technological features, the IDEF3 methodology is often used, which belongs to the IDEF family of methodologies, which has become widespread among specialists in the field of analytics, modeling and business process reengineering, both in foreign and domestic practice of analysis and modeling of various subject areas. The use of the mathematical apparatus of the theory of Petri nets is proposed as a tool for creating simulation models. This tool has a wide range of extensions that allow you to implement all the features of the IDEF3 notation. For this purpose, the study proposes an approach that describes the rules for creating simulation models of business processes that allow modeling of all existing notation objects. The development of software additions to existing CASE tools based on the proposed approach will make it possible to create simulation models of business processes directly in the process of developing domain models, as well as to use intelligent methods of structural-parametric synthesis of simulation models based on the elemental base of work units and the specified behavior of the synthesized model process. As a means of intelligent structural-parametric synthesis, genetic algorithms adapted to solving the problem of structural-parametric synthesis can be used, the operation of which is also modeled using the theory of Petri nets, which allows the use of one mathematical apparatus within the framework of all solved problems of creating simulation models of business processes.