About the cumulative idle time in multiphase queues
Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. email@example.com
Accepted: 12 November 2004
The paper is designated to the analysis of queueing systems, arising in the network theory and communications theory (called multiphase queueing systems, tandem queues or series of queueing systems). Also we note that multiphase queueing systems can be useful for modelling practical multi-stage service systems in a variety of disciplines, especially on manufacturing (assembly lines), computer networking (packet switch structures), and in telecommunications (e.g. cellular mobile networks), etc. This research presents heavy traffic limit theorems for the cumulative idle time in multiphase queues. In this work, functional limit theorems are proved for the values of important probability characteristics of the queueing system (a cumulative idle time of a customer).
Key words: Queueing systems / multiphase queues / functional limit theorems / heavy traffic / a cumulative idle time of a customer.
© EDP Sciences, 2005