Stability of multi-server polling system with server limits

Nelson Antunes (1) , Christine Fricker (1) , James Roberts (1)

1 RAP - Networks, Algorithms and Probabilities

We consider a multi-server polling system with , that is the number of servers that can attend a queue simultaneously is limited. Stability conditions are available when service policies are unlimited. The definition of stability conditions when both server limits and limited service policies apply remains an open problem. We postulate a conjecture for the stability condition in this case that is supported by our simulation results. The study of this particular variant of the multi-server polling system is motivated by the performance evaluation of next generation passive optical access networks.

Mots clés: Polling system; Multiple server; Stability; Passive optical networks; 60K25; 90B22; 60G10

Domaines: Réseaux et télécommunications [cs.NI]

Nelson Antunes, Christine Fricker, James Roberts. Stability of multi-server polling system with server limits. Queueing Systems, 2011, 68 (3-4), pp.229-235. ⟨10.1007/s11134-011-9254-x⟩. ⟨hal-00849970⟩