A Characterization of Product-Form Queuing Networks

Transient product from distributions in queueing networks

“…Substitution of (1.14) and (1.9) into the right-hand side of (1.6) immediately gives the right-hand side of (1.12) and from (1. which is in agreement with the transition rates obtained in [2] and [6].…”

“…This lemma provides a unique form for the transition rates already obtained in [2] and [6]. However, since it also determines the parameters of the time-dependent queueing network and also gives a transformation for the coefncients Ck(t) we have inserted it here.…”

A survey of product form queueing networks with blocking and their equivalences

“…Service disciplines are assumed to be defined as follows [12,13,21]. Let p denote a job position in node i queue, when there are n i jobs, 1≤p≤n i ,1≤i≤M.…”

“…According to this definition a service discipline is said symmetric [21] or station balancing [12] if it satisfies the following condition…”

On ‘stop=repeat' servicing for non-exponential queueing networks with blocking

“…[4], [6], [7], [8], [10], [11], [12], [14], [17], [20], [24]). Roughly speaking, the equivalence of both protocols thus appears to be related to insensitive product form results.…”