Teoria de cues

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Carles Rovira Escofet[en] Queueing Theory is used in a wide variety of areas, so the computation of optimal configurations of queueing systems is a very interesting problem. We will detail what is a queueing process and the characteristics that are necessary to describe this kind of process. In order to be able to properly study the properties of different models, we will first establish the stochastic processes foundations needed to do it. Then, we will compute these properties, focusing on the performance measures, for the M/M/1, M/M/n, M/M/1/K and M/M/n/K models. Finally, we will provide the design of a computer program that helps us find the optimal configurations of the systems, cost-wise