Steady-state analysis of single exponential vacation in a $PH/MSP/1/\infty$ queue using roots

Abhijit Datta Banik, Mohan L. Chaudhry, Florin Avram

We consider an infinite-buffer single-server queue where inter-arrival times are phase-type ($PH$), the service is provided according to Markovian service process $(MSP)$, and the…