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Analysis of BMAP/MSP/1 queue

Samanta, S.K.; Chaudhry, M.L.; Pacheco, António

A publicar em Methodology in Computing and Applied Probability
http://dx.doi.org/10.1007/s11009-014-9429-0

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.