Analysis and Application of the Extremal Limit Theorem in Open Queueing Systems

摘要

Open queueing systems that function under high load conditions (they constitute a mathematical model of a loaded computer network) are investigated in the present article. An extremal limit theorem and its corollaries for the length of a queue of customers in an open queueing network are proved. An example illustrating the application of the theorem for a loaded computer network is presented.