Fluctuation analysis in queues with several operational modes and priority customers

We analyze a complex queueing system with a single server operating in three different modes and dependent on circumstances, servicing two different queues simultaneously. There are different switching policies that specify when the server takes one or two queues. Main techniques are based on fluctuation analysis. One of the objectives is to model processes that occur in software, computer, and electrical engineering, and to argue that methods of fluctuation theory produce closed form functionals.