Density profiles of the exclusive queueing process

Abstract

The exclusive queueing process (EQP) incorporates the exclusion principle into classic queueing models. It can be interpreted as an exclusion process of variable system length. Here we extend previous studies of its phase diagram by identifying subphases which can be distinguished by the number of plateaus in the density profiles. Furthermore the influence of different update procedures (parallel, backward-ordered, continuous time) is determined.

References in corpus (6)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Microtubule Length-Regulation by Molecular Motors
• A model of hyphal tip growth involving microtubule-based transport
• A dynamically extending exclusion process
• Modelling bacterial flagellar growth

Cited by in corpus (4)

• Exclusive Queueing Processes and their Application to Traffic Systems
• Length regulation of microtubules by molecular motors: Exact solution and density profiles
• Critical behavior of the exclusive queueing process
• Effective ergodicity breaking in an exclusion process with varying system length