Probability Density for Number of Customers Served During the Busy Period of a Finite Auto-Correlated MEP/MEP/1 Queue or Probability Density for Services During the Busy Period of a Finite Auto-Correlated MEP/MEP/1 Queue
چکیده
In this paper we study the sample paths during a busy period of a Finite MEP/MEP/1 system, where both the arrivals and service processes can be serially auto-correlated Matrix Exponential Processes and provide a mechanism to compute the expected number of customers served during a finite queue’s busy period. We then show some numeric results by computing the probabilities of serving exactly n customers during a busy period for different allowable system (queue) sizes.