Markov Process Source Code for Single-Server Queueing System with Implementation Analysis

Complete source code implementation of Markov process for single-server queueing systems with detailed commentary. This solution calculates key performance metrics including average queue length, average waiting time, queue length evolution patterns, and precise timestamps for each state transition. The implementation includes comprehensive data visualization through detailed charts and graphs.

MATLAB Simulation of M/M/1 Queueing System

MATLAB simulation of the M/M/1 queueing system using discrete-event simulation. The implementation calculates steady-state distributions, average queue length, waiting time distribution, and mean waiting time values, comparing them with theoretical results. The simulation produces satisfactory outcomes while generating statistical curves for comprehensive performance analysis.