Course abstract

This course gives a detailed introduction into queueing theory along with the stochastic processes techniques useful for modelling queueing systems. A queue is a waiting line, and a queueing system is a system which provides service to some jobs (customers, clients) that arrive with time and wait to get served (Examples: - a telecommunication system that processes requests for communication; - a hospital facing randomly occurring demand for hospital beds; - central processing unit that handles arriving jobs). Queueing theory is a branch of applied probability theory dealing with abstract representation and analysis of such systems. Its study helps us to obtain useful and unobvious answers to certain questions concerning the performance of systems which in turn would help to design better systems.