Special models of the theory of queue

Abstract Title: Special models of the theory of queue Author: Zhamilya Otarbayeva Department: Department of Econometrics Supervisor: Ing. Václav Kořenář, CSc. The main aim of this work is describe more complicated queuing models. Firstly I described the models with priority. There are mentioned three types of them: relative, absolute and dynamic. For describing I used formulas and examples from people's life for showing situations where we can meet such kind of queuing models. The second theoretical part contains description of non-Poisson models. I explain four of them: model with Erlang's input and exponential service time, Poisson's input with Erlang's service time, deterministic and general distributions. There are shown formulas for average waiting time in queue, average number of requests in queue and in the system. In practical part are illustrated examples for some models, which were described. The main characteristics of the queuing system are mentioned in the first chapter of this work