Assessing an intuitive condition for stability under a range of traffic conditions via a generalised Lu-Kumar network

We argue the importance both of developing simple sufficientconditions for the stability of general multiclass queueing networks and also of assessing such conditions under a range of assumptions on the weight of the traffic flowing between service stations. To achieve the former, we review a peak-rate stability condition and extend its range of application and for the latter, we introduce a generalisation of the Lu-Kumar network on which the stability condition may be tested for a range of traffic configurations. The peak-rate condition is close to exact when the between-station traffic is light, but degrades as this traffic increases.

Plan de la Ville et des environs de Lille : Chambre de Commerce de Lille, Chemins de Fer / Dessiné sur pierre, par L. Duhem Cadet, Architecte

Échelle(s) : [ca 1:8 000], Echelle de 1000 Mètres [= 12,7 cm]

Carte de l'Océanie / dressée par Pierre Tardieu

Échelle(s) : [ca 1:34 865 000]