title: Waiting time dynamics of priority-queue networks.
abstract: We study the dynamics of priority-queue networks, generalizations of the binary interacting priority-queue model introduced by Oliveira and Vazquez [Physica A 388, 187 (2009)]. We found that the original AND-type protocol for interacting tasks is not scalable for the queue networks with loops because the dynamics becomes frozen due to the priority conflicts. We then consider a scalable interaction protocol, an OR-type one, and examine the effects of the network topology and the number of queues on the waiting time distributions of the priority-queue networks, finding that they exhibit power-law tails in all cases considered, yet with model-dependent power-law exponents. We also show that the synchronicity in task executions, giving rise to priority conflicts in the priority-queue networks, is a relevant factor in the queue dynamics that can change the power-law exponent of the waiting time distribution.
authors.affiliation: Department of Physics, Korea University, Seoul 136-713, Korea.
authors.forename: Byungjoon
authors.initials: B
authors.lastname: Min
authors.forename: K-I
authors.initials: KI
authors.lastname: Goh
authors.forename: I-M
authors.initials: IM
authors.lastname: Kim