Density profiles of the exclusive queueing process
Chikashi Arita, Andreas Schadschneider
TL;DR
This paper investigates the density profiles of the exclusive queueing process, revealing subphases distinguished by density plateaus and analyzing how different update procedures affect these profiles.
Contribution
It extends previous phase diagram studies by identifying subphases based on density plateaus and examines the impact of various update methods.
Findings
Identification of subphases with distinct density plateaus
Analysis of the effects of different update procedures
Enhanced understanding of the phase diagram structure
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.
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