A BCMP extension to multiserver stations with concurrent classes of customers

Abstract

We consider a multiclass service station with B identical exponential servers, with constant service rate μ. At a station, the classes of customers are sorted into M concurrent groups ; the discipline of service is on a first come first served basis, but two customers of the same group cannot be served simultaneously. We show that product form is maintained when such stations are inserted in BCMP networks, and give closed form expressions for the steady-state probabilities.