Abstract
The paper considers the model of a network with the nodes being one-server queueing systems. Non-stationary Poisson flows (traffic flows) are input flows to some queueing systems. A statistical simulation algorithm is proposed. It identifies weak points of the network and allows formulating a heuristic flow control algorithm that reduces the total waiting time. This algorithm is illustrated by an example of a flow network of 20 intersections.
Similar content being viewed by others
References
B. V. Gnedenko and I. N. Kovalenko, An Introduction to Queuing Theory [in Russian], LKI, Moscow (2007).
M. A. Fedotkin, Service Processes and Control Systems, in: Mathematical Problems of Cybernetics [in Russian], Nauka, Moscow (1996), pp. 51–70.
N. V. Litvak and M. A. Fedotkin, “A probability model for adaptive control of conflicting flows,” Avtomatika i Telemekhanika, No. 5, 67–76 (2000).
A. V. Zorin and M. A. Fedotkin, “Optimization of control of doubly stochastic nonordinary flows in time-sharing systems,” Automation and Remote Control, Vol. 66, No. 7, 1115–1124 (2005).
V. V. Semenov, “Mathematical modeling of traffic flow at uncontrolled intersection,” Matem. Modelirovanie, Vol. 20, No. 10, 14–22 (2008).
L. Afanaseva and E. Bulinskaya, “Stochastic models of transport flows” in: Proc. 13th Int. Conf. Applied Stochastic Models and Data Analysis, Vilnius (2009), pp. 320–324.
M. A. Fedotkin and A. M. Fedotkin, “Analysis and optimization of output processes of conflicting Gnedenko–Kovalenko traffic streams under cyclic control,” Automation and Remote Control, Vol. 70, No. 12, 2024–2038 (2009).
M. A. Fedotkin and A. M. Fedotkin, “Investigating the properties of Gnedenko–Kovalenko flow,” Vest. Nizhegorodskogo Gos. Universiteta im. N. I. Lobachevskogo, No. 6, 156–160 (2008).
A. V. Zorin, “Stability of a tandem of queueing systems with Bernoulli noninstantaneous transfer of customers,” in: Theory of Probability and Mathematical Statistics (2012), pp. 173–188.
A. V. Zorine, “Stochastic model for communicating retrial queuing systems with cyclic control in random environment,” Cybern. Syst. Analysis, Vol. 49, No. 6, 890–897 (2013).
A. V. Zorin, N. Yu. Kuznetsov, and I. N. Kuznetsov, “Analysis of the stochastic model of communicating retrial queuing systems with cyclic algorithm of control in random environment,” Vest. Nizhegorodskogo Gos. Universiteta im. N. I. Lobachevskogo, No. 5, 54–65 (2013).
K. Balsys, A. Valinevicius, and M. Zilys, “Crossroads load modeling,” in: Proc. of the ITI. The 30th Int. Conf. on Information Technology Interfaces (2008), pp. 685–690.
N. Yu. Kuznetsov and M. A. Fedotkin, “Modeling of conflicting traffic flows,” Cybern. Syst. Analysis, Vol. 49, No. 6, 829–835 (2013).
V. Boyun, “Intelligent selective perception of visual information in vision systems,” Proc. 6th IEEE Int. Conf. on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Application, Prague, 2011, Vol. 1 (2011), pp. 412–416.
V. Boyun, “Directions of development of intelligent real time video systems,” Application and Theory of Computer Technology, Vol. 2, No. 3, 48–66 (2017).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2018, pp. 27–37.
Rights and permissions
About this article
Cite this article
Kuznetsov, N.Y. A Heuristic Algorithm to Control Conflicting Nonstationary Traffic Flows. Cybern Syst Anal 54, 707–715 (2018). https://doi.org/10.1007/s10559-018-0072-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-018-0072-6