Multi Server Simulator

Overview

This project is a simulator for M/M/C and M/G/C queuing systems. Users can input parameters such as arrival rate (λ), service rate (µ), model type (M/M/C or M/G/C), and the number of servers. Upon submitting the inputs, the simulator generates a comprehensive table with various queuing system metrics, followed by a Queuing Calculator Table and a Gantt chart for visualization.

Deployed project Link : https://m-m-1-umer.vercel.app/

To run locally write the following commands in Vs code terminal to run the project

git clone https://github.com/umershaikh123/priority-queue-simulator-p.git
cd priority-queue-simulator
npm install
npm run dev

Usage

1. Input Parameters

Provide the following inputs:

• Arrival Rate (λ): Rate at which customers arrive.
• Service Rate (µ): Rate at which customers are served.
• Model Type: Choose between M/M/C or M/G/C.
• Number of Servers: Specify the number of servers. Click the submit button to generate the main table.

2. Generated Table

The table includes the following columns:

• S.no#: Serial number.
• Cp Lookup: Lookup value for cumulative probability.
• Cumulative Probability (Cp): Cumulative probability of arrival.
• Avg Time Between Arrivals: Average time between arrivals.
• Inter Arrival Time: Time between consecutive arrivals.
• Arrival Time: Time at which a customer arrives.
• Service Time: Time taken to serve a customer.
• Start Time: Time at which service starts.
• End Time: Time at which service ends.
• Turnaround Time: Total time a customer spends in the system.
• Waiting Time: Time a customer waits in the queue.
• Response Time: Time taken to respond to a customer. The number of rows and total customers are determined when cumulative probability reaches 1.

3. Queuing Calculator Table

Displays various metrics for the queuing system:

• Utilization Factor (ρ)
• Average Time a Customer Spends in the System (W)
• Average Time a Customer Spends Waiting in the Queue (Wq)
• Average Number of Customers in the Queue (Lq)
• Average Number of Customers in the System (L)
• Proportion of Time the Server is Idle (Idle)
• Average Turnaround Time
• Average Response Time
• Average Waiting Time

4. Gantt Chart

Generates a Gantt chart for queuing system visualization.