Queuing systems with resources and signals and their application for performance evaluation of wireless networks

The paper considers a queuing system with limited resources, random requirements, and signals. Each customer occupies a server and a random amount of resources for the whole service duration. Besides, a Poisson flow of signals arrives to the queue. Signal arrival triggers the resource reallocation process. The model can describe functioning of a wireless network taking into account user movement during a session. Two cases are considered: independent movement of users, when resources are reallocated independently for each session, and joint movement, when all resources are reallocated at once.