Transaction Flows in Multi-agent Swarm Systems
The article presents a mathematical model of transaction flows between individual intelligent agents in swarm systems. Assuming that transaction flows are Poisson ones, the approach is proposed to the analytical modeling of such systems. Methods for estimating the degree of approximation of real transaction flows to Poisson flows based on Pearson’s criterion, regression, correlation and parametric criteria are proposed. Estimates of the computational complexity of determining the parameters of transaction flows by using the specified criteria are shown. The new criterion based on waiting functions is proposed, which allows obtaining a good degree of approximation of an investigated flow to Poisson flow with minimal costs of computing resources. That allows optimizing the information exchange processes between individual units of swarm intelligent systems.
KeywordsTransaction flow Poisson flow Exponential distribution Pearson’s criterion Expectation Dispersion Waiting function Statistical estimation Intelligent agents
The research was carried out within the state assignment of the Ministry of Education and Science of Russian Federation (No 2.3121.2017/PCH).
- 14.Luedicke, J., Bernacchia, A., et al.: Self-consistent density estimation. Stata J. 14(2), 237–258 (2014)Google Scholar
- 15.Markov, A.A.: Extension of the law of large numbers to dependent quantities. Izv. Fiz. Matem. Obsch. Kazan Univ. (2nd Ser.) 15, 135–156 (1906)Google Scholar
- 18.Stuart, A.: Rank correlation methods. Br. J. Stat. Psychol. 9(1), 68–68 (1956). https://doi.org/10.1111/j.2044-8317.1956.tb00172.x. by M. G. Kendall, 2nd ednCrossRefGoogle Scholar
- 19.Ventsel, E., Ovcharov, L.: Theory of probability and its engineering applications. Higher School, Moscow (2000)Google Scholar