Regenerative Estimation of a Simultaneous Service Multiserver System With Speed Scaling

Abstract

The paper deals with simultaneous service multi-server system, where customer occupies a random number of servers. The system also admits speed scaling mechanism by switching speed regimes at arrival/departure instants according to the corresponding transition probability matrices. Stability conditions for Markovian case of such a model were derived. Results of regenerative confidence estimation for the system in steady-state regime are presented.

Keywords

• simultaneous service
• speed scaling
• matrix-analytic method
• stability analysis
• regenerative estimation