Analysis of the Limited Resources Queuing System with Signals and Multiple Flows of Customers

Konstantin Samouylov,Eduard Sopin,N Bardis

doi:10.1051/itmconf/20192401007

Abstract

In the paper, a wireless network is modelled in terms of multiserver queuing system with limited resources, random resource requirements and signals that trigger resource reallocation procedure. For the queuing system, we derive the set of balance equations and propose the solution method. Moreover, the formulas for main performance measures are obtained.

Highlights

Improvements and advanced techniques in the future evolution of mobile systems, often referred to as fifth generation (5G) networks [1,2], are due to the significant increase in the user traffic demands in recent years
Resource blocks are scheduled in respect to the radiochannel quality and required bitrate that a user equipment communicate with a base station [5]
The described above resource allocation process can be modelled in terms of multiserver queuing systems, in which customers require a server and a random amount of limited resources

Summary

Introduction

Improvements and advanced techniques in the future evolution of mobile systems, often referred to as fifth generation (5G) networks [1,2], are due to the significant increase in the user traffic demands in recent years. Among them are network densification [3], direct inband and out-of-band device-to-device communications [4] In this connection, mobile operators and network device manufacturers need an effective tool to estimate performance gains from emerging technologies. The resource requirements of each user session depends on a number of parameters, basically connected to the signal propagation conditions, and vary for each session. The described above resource allocation process can be modelled in terms of multiserver queuing systems, in which customers require a server and a random amount of limited resources. Queuing systems with random resource requirements, Poisson arrivals and exponentially distributed service times were studied in [6,7]. The resource queuing system was extended in [9] by implementing signals that trigger resource reallocation process during service process.

Model description

Stationary probability distribution and performance measures

Numerical analysis

Conclusion

Cisco Visual Networking Index