Application of the Theory of Petri Nets in the Development of Simulation Models of Business Processes Based on the IDEF3 Methodology
( Pp. 51-63)
More about authors
Petrosov David A.
Candidate of Engineering, Associate Professor; associate professor at the Department of Data Analysis and Machine Learning, @fa.ru
Financial University under the Government of the Russian Federation
Moscow, Russian Federation
Financial University under the Government of the Russian Federation
Moscow, Russian Federation
Abstract:
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.
How to Cite:
Petrosov D.A. Application of the Theory of Petri Nets in the Development of Simulation Models of Business Processes Based on the IDEF3 Methodology. Computational Nanotechnology. 2023. Vol. 10. No. 3. Pp. 51–63. (In Rus.) DOI: 10.33693/2313-223X-2023-10-3-51-63. EDN: TGIJWN
Reference list:
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Moiseeva A.A., Dostovalov D.N., Vakorin M.P. Modeling the process of solving the problem of open shop planning using the simulated annealing method in IDEF0 AND IDEF3 notations. In: Science. Technologies. Innovation. Collection of scientific works. In 9 parts. Novosibirsk, 2020. Pp. 221–224.
Bobrov A.I., Konchakov S.A., Sibiryakov M.V. Application of the IDEF3 methodology to formalize the processes of conducting emergency rescue operations at metro facilities. In: Civil defense on guard of peace and security. Materials of the IV International Scientific and Practical Conference dedicated to World Civil Defense Day. In 3 parts. Moscow, 2020. Pp. 498–501.
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Kholodkov V.S. Designing a module for receiving and processing XML data as part of the IDEF0/IDEF3 model converter into UML language diagrams. Solution. 2018. Vol. 1. Pp. 235–236. (In Rus.)
Kholodkov V.S., Beibalaev A.M. Converter of IDEF0/IDEF3 models into UML language activity diagrams: Project architecture in accordance with the MVVM design pattern. Bulletin of Russian Youth Science. 2019. No. 1. P. 44. (In Rus.)
Solovyova E.I. Methods for modeling business processes in organizations. In: Modern trends in development in the field of economics and management. Materials of the International Scientific and Practical Conference. Moscow, 2018. Pp. 197–202. (In Russ.)
Kurkin A.V., Sila M.A. Preparing a knowledge base. Design of a system for storing and processing applications for a developing IT product. Science Week of the St. Petersburg State Maritime Technical University. 2021. No. 1-1. Pp. 45–51. (In Rus.)
Pitelinsky K.V., Stolyarov O.Yu. Analysis of the interaction of material, information, financial flows in order to increase the efficiency of marketing activities of a logistics company in the small and medium-sized business segment. In: Modern scientific research: Current issues, achievements and innovations. Collection of articles of the IV International Scientific and Practical Conference. In 2 parts. 2018. Pp. 81–87.
Semikin D.V., Kulagina I.I. Approaches to studying the dynamics of business processes through mathematical modeling. Scientific Bulletin of the Volgograd Branch of RANEPA. Series: Economics. 2018. No. 1. Pp. 97–102. (In Rus.)
Israilova S.T., Mukhanova A.A., Ismailova A.A. Main aspects of simulation modeling of enterprise business processes using Petri nets and agent-based modeling. Science news of Kazakhstan. 2021. No. 1 (148). Pp. 1–8. (In Rus.)
Meshkova V.A. Analysis and modeling of business processes using Petri nets. In: Trends in the development of modern science. Collection of proceedings of the Scientific and Practical Conference of Students and Graduate Students of the Lipetsk State Technical University. In 11 parts. Lipetsk, 2021. Pp. 97–100.
Melnik G.V., Skitsko V.I. Modeling of logistics business processes using colored Petri nets. Current Problems of Economics. 2015. Vol. 168. No. 6. Pp. 429–443. (In Rus.)
Petrosov D.A. Modeling of business processes using methods of intellectual structural-parametric synthesis based on evolutionary procedures. In: Current problems of society, economics and law in the context of global challenges. Collection of materials of the XI International Scientific and Practical Conference. Moscow, 2022. Pp. 24–27.
Kalenkova A.A. Synthesis of high-level models of business processes. Research work: Grant No. 15-37-21103. Russian Foundation for Basic Research. 2015. 224 p.
Kalyanov G.N. On the theory of business processes. Software Engineering. 2018. Vol. 9. No. 3. Pp. 99–108. (In Rus.)
Margolin M.S. Structure of simulation software designed for modeling and analysis of fuzzy business processes. Bulletin of Scientific Conferences. 2017. No. 10-4 (26). Pp. 64–73. (In Rus.)
Shershakov S.A. “Vtmine for visio”: A graphical modeling tool in the field of process mining. Modeling and Analysis of Information Systems. 2020. Vol. 27. No. 2. Pp. 194–217 (In Rus.)
Moiseeva A.A., Dostovalov D.N., Vakorin M.P. Modeling the process of solving the problem of open shop planning using the simulated annealing method in IDEF0 AND IDEF3 notations. In: Science. Technologies. Innovation. Collection of scientific works. In 9 parts. Novosibirsk, 2020. Pp. 221–224.
Bobrov A.I., Konchakov S.A., Sibiryakov M.V. Application of the IDEF3 methodology to formalize the processes of conducting emergency rescue operations at metro facilities. In: Civil defense on guard of peace and security. Materials of the IV International Scientific and Practical Conference dedicated to World Civil Defense Day. In 3 parts. Moscow, 2020. Pp. 498–501.
Neroda E.V. Application of IDEF3 methodology using the example of the process of selecting a supplier during ship repair work. In: Problems and prospects for the development of Russia: A youth perspective on the future. Collection of scientific articles of the 4th All-Russian Scientific Conference. Kursk, 2021. Pp. 323–325.
Kholodkov V.S. Designing a module for receiving and processing XML data as part of the IDEF0/IDEF3 model converter into UML language diagrams. Solution. 2018. Vol. 1. Pp. 235–236. (In Rus.)
Kholodkov V.S., Beibalaev A.M. Converter of IDEF0/IDEF3 models into UML language activity diagrams: Project architecture in accordance with the MVVM design pattern. Bulletin of Russian Youth Science. 2019. No. 1. P. 44. (In Rus.)
Solovyova E.I. Methods for modeling business processes in organizations. In: Modern trends in development in the field of economics and management. Materials of the International Scientific and Practical Conference. Moscow, 2018. Pp. 197–202. (In Russ.)
Kurkin A.V., Sila M.A. Preparing a knowledge base. Design of a system for storing and processing applications for a developing IT product. Science Week of the St. Petersburg State Maritime Technical University. 2021. No. 1-1. Pp. 45–51. (In Rus.)
Pitelinsky K.V., Stolyarov O.Yu. Analysis of the interaction of material, information, financial flows in order to increase the efficiency of marketing activities of a logistics company in the small and medium-sized business segment. In: Modern scientific research: Current issues, achievements and innovations. Collection of articles of the IV International Scientific and Practical Conference. In 2 parts. 2018. Pp. 81–87.
Semikin D.V., Kulagina I.I. Approaches to studying the dynamics of business processes through mathematical modeling. Scientific Bulletin of the Volgograd Branch of RANEPA. Series: Economics. 2018. No. 1. Pp. 97–102. (In Rus.)
Israilova S.T., Mukhanova A.A., Ismailova A.A. Main aspects of simulation modeling of enterprise business processes using Petri nets and agent-based modeling. Science news of Kazakhstan. 2021. No. 1 (148). Pp. 1–8. (In Rus.)
Meshkova V.A. Analysis and modeling of business processes using Petri nets. In: Trends in the development of modern science. Collection of proceedings of the Scientific and Practical Conference of Students and Graduate Students of the Lipetsk State Technical University. In 11 parts. Lipetsk, 2021. Pp. 97–100.
Melnik G.V., Skitsko V.I. Modeling of logistics business processes using colored Petri nets. Current Problems of Economics. 2015. Vol. 168. No. 6. Pp. 429–443. (In Rus.)
Petrosov D.A. Modeling of business processes using methods of intellectual structural-parametric synthesis based on evolutionary procedures. In: Current problems of society, economics and law in the context of global challenges. Collection of materials of the XI International Scientific and Practical Conference. Moscow, 2022. Pp. 24–27.
Kalenkova A.A. Synthesis of high-level models of business processes. Research work: Grant No. 15-37-21103. Russian Foundation for Basic Research. 2015. 224 p.
Kalyanov G.N. On the theory of business processes. Software Engineering. 2018. Vol. 9. No. 3. Pp. 99–108. (In Rus.)
Margolin M.S. Structure of simulation software designed for modeling and analysis of fuzzy business processes. Bulletin of Scientific Conferences. 2017. No. 10-4 (26). Pp. 64–73. (In Rus.)
Shershakov S.A. “Vtmine for visio”: A graphical modeling tool in the field of process mining. Modeling and Analysis of Information Systems. 2020. Vol. 27. No. 2. Pp. 194–217 (In Rus.)
Keywords:
IDEF3, mathematical modeling, simulation models, business processes, Petri net theory, structural-parametric synthesis, IDEF3, technological processes, CASE-tools.
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