Regenerative estimation of M/G/2-type system with simultaneous service and speed scaling

We deal with a simultaneous service system under speed scaling policy. Arriving customer occupies a random number of servers and speed regimes are switched at arrival/departure instants according to the corresponding transition probability matrices. The paper concentrates on the particular case of 2 server system with general distribution of service times. As stability results were obtained for only for Markovian case, we rely on monotonicity properties to establish steady-state regime and apply regenerative condence estimation.