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In this paper we consider two types of sessions: Guaranteed Performance (GP) and point-to-multi point Best Effort (BE). The existence of different types of users sharing the same resource raises the need for a Call Admission Control (CAC) which will enable an efficient use of the shared network. As is commonly done in todays telecommunications network, CAC is assumed to be imposed only on the GP session. We analyse the effect of bandwidth reservation for BE sessions on the performance of the BE sessions (in terms of the expected delay) and of the GP sessions (in terms of their rejection probabilities). Our analysis is based on a matrix-geometric approach.
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