Abstract
The presentation of cyber-physical systems and devices as components of a multi-agent model is considered. The main method of interaction between agents of the cyber-physical type is investigated - the exchange of messages in the multi-agent model. It is proposed to consider the processing of messages from other agents as an indicator of the agent's performance. The dependence of the efficiency indicator of the agent-based model as the probability of timely message processing on the message flow density is analyzed. The technique of numerical modeling of systems with continuous time is considered. For this, the representation of such systems in the form of equivalent signal graphs is used. A technique for constructing such graphs based on a system of differential equations is proposed. A method for joint modeling of dynamic systems and systems with random flows is proposed. A graphic-analytical technique for numerical modeling of a queuing system in the form of a system of inhomogeneous linear differential equations of the first order is considered. An algorithm for the numerical modeling of queuing systems proposed by the authors, based on the previously considered technique, is presented. An example of modeling message processing by the simplest agent in the form of a queuing system is considered. An equivalent numerical simulation graph is constructed, on the basis of which a matrix simulation scheme is obtained. Examples of a simulation experiment and comparison with analytical results are given.
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References
Schwab, K.: Technologies of the Fourth Industrial Revolution, p. 320. Eksmo, Moscow (2018). (In Russian)
Framework for Cyber-Physical Systems. Volume 1, Overview. https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.1500-201.pdf (2017). Last accessed 28 July 2021
Framework for Cyber-Physical Systems. Volume 2, Working Group Reports. https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.1500-202.pdf (2017). Last accessed 28 July 2021
Greer, C., Burns, M., Wollman, D., Griffor, E.: Cyber-Physical Systems and Internet of Things. National Institute of Standards and Technology. https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.1900-202.pdf (2019). Last accessed 28 July 2021
Sanfelice, R.: Analysis and design of cyber-physical systems: a hybrid control systems approach (2015)
Lee, E.A., Seshia, S.A.: Introduction to embedded systems—a cyber-physical systems Approach. LeeSeshia.org (2011)
Song, H. Fink, G. A., Jeschke S. (eds.): Security and Privacy in Cyber-Physical Systems. Foundations, Principles, and Applications. Wiley, New Jersey, NJ (2018)
Ventcel, E.S., Ovcharov, L.A.: Tasks and Exercises on Probability Theory. Teaching aid. Vysshaja shkola, Moscow (2000).(In Russian)
Smolov, V.B.: The Analog Computers. Vysshaja shkola, Moscow (1972).(In Russian)
Feldbaum, A.A.: Fundamentals of the Theory of Optimal Automatic Systems. Nauka, Moscow (1966).(In Russian)
Bakusov, L.M., Bakusova, S.M., Nasyrov, R.V.: The algorithm of numerical simulation of systems with continiouse time. Fundamental research, 10–12, 2593–2598 (2013), http://fundamental-research.ru/ru/article/view?id=32836. Last accessed 28 July 2021 (In Russian)
Mathematical encyclopedia, vol. 5, p. 539. Soviet encyclopedia Publ., Moscow (1984). (In Russian)
Bakusov, L.M.: Methods and Models of Casual–Stricter Analysis in Self-organizatiion System Investigation. Mashinostroenie, Moscow (2005). (In Russian)
Nazlı Demir Beh ̧cet A ̧cıkme ̧seCan Pehlivant ̈urk: Density control for decentralized autonomous agents with conflict avoidance. In: Proceedings of the 19th World CongressThe International Federation of Automatic Control, August 24–29, 2014, Cape Town, South Africa, pp. 11715–11721 (2014). https://doi.org/10.13140/2.1.3534.8482
De Wilde, P., Briscoe, G.: Stability of evolving multiagent systems. IEEE Trans Syst Man Cybern B Cybern. 41(4), 1149–1157 (2011). https://doi.org/10.1109/TSMCB.2011.2110642. Epub 2011 Feb 28 PMID: 21356619
Shiba Biswal: Self-organization of multi-agent systems using Markov Chain models, Dissertation for the degree Doctor of Phylosophy, p. 159. Arizona State Unversyti (2020)
Chen, C., Yin, Y.: De Gu1and Fei Liu: Consensus of multi-agent systems with Markov jump topologies and delays. ICIC Express Lett. 12(3), 205–211 (2018)
Wang, H., Zhou, Z., Hu, Z.: Distributed tracking control for discrete-time multiagent systems with novel Markovian switching topologies. Discret. Dyn. Nat. Soc. 2017, 1626452, 10 (2017). https://doi.org/10.1155/2017/1626452
Ruohan Zhang, Yue Yu, Mahmoud El Chamie, Behc ̧et Ac ̧ıkmes ̧e, Dana H. Ballard: Decision-making policies for heterogeneous autonomous multi-agent systems with safety constraints. In: Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence (IJC-16), pp.546–552 (2016)
Varma, V., Morarescu, I.-C., Nesic, D.: Open multi-agent systems with discretestates and stochastic interactions. IEEE Control. Syst. Lett. 2(3), 375–380. IEEE (2018). https://doi.org/10.1109/LCSYS.2018.2840431
Banisch, S.: Markov Chain aggregation for agent–based models. Dissertation for the degree Doctor of Phylosophy, p. 166. Max Planck Institute for Mathematics in the Sciences (2014)
Demirer, N.: Density control of multi-agent systems with safety constraints: a Markov Chain approach. Dissertation for the degree Doctor of Phylosophy, p. 153. University of Washington (2017)
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Nasyrov, R. (2023). Numerical Simulation of the Behavior of a Cyberphysical Agent as a Message Queuing System. In: Arseniev, D.G., Aouf, N. (eds) Cyber-Physical Systems and Control II. CPS&C 2021. Lecture Notes in Networks and Systems, vol 460. Springer, Cham. https://doi.org/10.1007/978-3-031-20875-1_32
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