Optimal design of queueing systems for using communication channels with multiple access

D.M Sonkin,S.A Khrul,A.V Kudryashova,A.A Nazarov

doi:10.1088/1742-6596/803/1/012157

Abstract

This article considers the mathematical model of queueing systems for the communication network with multiple access, which is used in the automated group of moving objects control systems. The dynamic communication model in the form of a single-line queuing model with the batch input claims was researched. The method of asymptotic analysis of the communication channel under a heavy load conditions was applied. As a result, the basic probabilistic characteristics of the system were obtained, including: the probability distribution of the waiting time values of the virtual claims, the average length of the queue claims at random time. It has been discovered that the characteristics of the communications models allow performing parametric optimization of communication networks, establishing the most appropriate values of the network parameters.

Highlights

Nowadays, there is a tendency towards the use of distributed robotics
It is required to use ad hoc queueing networks enabling to maintain concurrent control of a number of missions by various machineries grouping for providing communication between a control center (CC) and autonomous underwater vehicles
The expanding traffic volume is being defined by the demand of simultaneous multiple access of various groups of control objects, such as AUV, an unmanned aerial vehicle (UAV), control centers on convoy vessels, research vessels, sensor values and other information sources of CC [1,2,3]

Summary

Introduction

The communication channels for each element of such a system are not always dedicated to performing such functions It can be illustrated by the example of developed communication along a finite set of alternative communication channels with a group of AUV (automated underwater vehicle) while making research at a great depth and under the conditions of the bottom rugged relief. For such systems, it is required to use ad hoc queueing networks enabling to maintain concurrent control of a number of missions by various machineries grouping for providing communication between a control center (CC) and autonomous underwater vehicles. Hydroacoustic channels (communication speed is up to 2 Kbit/sec.); radioelectronic channels, communicating mainly within the ultra-short band (communication speed is up to 9.6 Kbit/sec.)

Characteristics of mobile objects of ad hoc communication networks

Researching the waiting time in a cyclic system

Results

Conclusion