On joint stationary distribution in exponential multiserver reordering queue

Resequencing is a common issue in information systems where the order of jobs upon arrival has to be preserved upon departure. In this paper M/M/n/∞ queueing system with reordering buffer of infinite capacity is being considered. Focus is given to the study of joint stationary distribution of the total number of customers in queue and total number of customers in reordering buffer. Using developed analytical method there was obtained system of equilibrium equations which is presented in the paper allows recursive computation of joint stationary probabilities. Numerical examples illustrating obtained results are given. © 2015 AIP Publishing LLC.