Identifying critical transient traffic intensity in a queuing system

Authors

Kit Laurence Lacanaria Guial ⋅ PH National Institute of Physics, University of the Philippines Diliman
Johnrob Yap Bantang ⋅ PH National Institute of Physics, University of the Philippines Diliman
Caesar Aya-ay Saloma ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We simulate an M/M/1 queue system with a single server using a Monte Carlo method. Individual agents are tracked in the queue and their mean waiting times T_w as a function of their arrival times t_arr are obtained for different traffic intensities ρ. The intensity ρ is defined as the ratio of the arrival rate λ and the service rate μ. We find that T_w = T_w (t_arr) can be approximately described by a logistic function parametrized by three factors that can provide useful insights in the transient response of the system. From these factors, we identify a critical traffic intensity ρ_c that points to a transition from a cooperative to competitive queuing conditions.

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Issue

2017: Proceedings of the 35th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2017-PB-16

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)

Published

2017-06-07

How to Cite

[1]

KLL Guial, JY Bantang, and CA- ay Saloma, Identifying critical transient traffic intensity in a queuing system, Proceedings of the Samahang Pisika ng Pilipinas 35, SPP-2017-PB-16 (2017). URL: https://proceedings.spp-online.org/article/view/214.