We present an exact solution method for a single-server queueing system which alternates between periods in which service can be provided (on-periods) and periods in which the server is out of operation (off-periods). The arrival process is Poisson, on-periods are assumed to have a phase-type distribution, and service times and off-periods are assumed to be arbitrary.
Federgruen, Awi, and Linda Green. "Queueing systems with service interruptions II." Naval Research Logistics 35, no. 3 (1988): 345-358.
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