M/M/1/K Queue Simulation

This repository contains a simulation of the M/M/1/K queue model, a classic queuing theory concept commonly used in the analysis of computer systems and network performance. These simulations are designed to analyze the performance of these queues under different scenarios.

Contents

• FCFS_Simulation.py: FCFS Service Order

• PS_Simulation.py: Processor Sharing Service Order

• DPS_Simulation.py: Discriminatory Processor Sharing Service Order

Evaluation Results for M/M/1/12 Queue with Exponential and Fixed Theta under different customer loads are available in the following files:

• FCFS_K12_thetaExp_10M , FCFS_K12_thetaFixed_10M, FCFS_K12_thetaExp_300M , FCFS_K12_thetaFixed_300M

• PS_K12_thetaExp_10M , PS_K12_thetaFixed_10M, PS_K12_thetaExp_100M , PS_K12_thetaFixedFixed_100M

• DPS_K12_thetaExp_1M , DPS_K12_thetaFixed_1M, DPS_K12_thetaExp_10M

References

• Mor. Harchol-Balter, “Performance modeling and design of computer systems: queueing theory in action", Cambridge University Press, 2013.
• Krishna. Kant, "Introduction to computer system performance evaluation" International Edition, 1992.

Contribute

If you have an issue or found a bug, please raise a GitHub issue here. Pull requests are also welcome.