Analysis of BMAP/MSP/1 queue
Samanta, S.K.; Chaudhry, M.L.; Pacheco, António
To appear in Methodology in Computing and Applied Probability
The analysis for the B M A P/M S P/1 queueing system is based on roots of the associated characteristic equation of the vector-generating function of system-length distribution at random epoch. We obtain the steady-state system-length distributions at various epochs as well as of the actual sojourn-time distribution of an arbitrary customer in an arriving batch.