On the simulations of the limited resources queueing systems

Queuing systems with limited resources are widely applicable in the modelling and analysis of modern infocommunication systems. The main feature of them is that customers occupy not only a server, but also a volume of multiple resources, for the whole serving time. Processor time, memory, disc space may serve as examples of resources in a computing system, and frequency range and signal power are examples of resources in modern wireless networks. However, even under simplest assumptions on the arrival flows and service times distributions, computational algorithms still have very high complexity, since deduced formulas for the main stationary characteristics include multiple convolutions of the resource requirements distribution function. Therefore, there is absolute necessity in simulation tools for limited resources queuing systems. In the paper, we describe the general queuing system with multiple customer types and multiple limited resources, present the developed simulator and provide some simulation results for various types of arrival and serving processes. © 2018 CEUR-WS. All Rights Reserved