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arXiv · 0903.0704

Waiting time dynamics of priority-queue networks

Byungjoon Min·K. -I. Goh·I. -M. Kim
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Abstract

We study the dynamics of priority-queue networks, generalizations of the binary interacting priority queue model introduced by Oliveira and Vazquez [Physica A {\bf 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.

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Byungjoon Min, K. -I. Goh, I. -M. Kim. 2009-07-20. Waiting time dynamics of priority-queue networks. https://doi.org/10.1103/physreve.79.056110

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