Update README.md

README.md

@@ -1,26 +1,69 @@
-## Getting Started
+ # 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/ZainAsif767/priority-queue-simulator.git
+git clone https://github.com/umershaikh123/priority-queue-simulator-p.git
 
 cd priority-queue-simulator
 
+npm install
+
 npm run dev
 ```
 
-Open [http://localhost:3000](http://localhost:3000) with your browser to see the result.
+## 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:
 
-You can start editing the page by modifying `app/page.js`. The page auto-updates as you edit the file.
+- 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.
 
-This project uses [`next/font`](https://nextjs.org/docs/basic-features/font-optimization) to automatically optimize and load Inter, a custom Google Font.
+![image](https://github.com/umershaikh123/priority-queue-simulator-p/assets/42178214/93aab8dc-81ad-407d-ae09-4e93bfef1e13)
 
 
+### 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
 
-You can check out [the Next.js GitHub repository](https://github.com/vercel/next.js/) - your feedback and contributions are welcome!
+![image](https://github.com/umershaikh123/priority-queue-simulator-p/assets/42178214/3f24a57d-1337-4880-97cc-7b87841364b7)
 
-## Deploy on Vercel
 
-The easiest way to deploy your Next.js app is to use the [Vercel Platform](https://vercel.com/new?utm_medium=default-template&filter=next.js&utm_source=create-next-app&utm_campaign=create-next-app-readme) from the creators of Next.js.
+### 4. Gantt Chart
+Generates a Gantt chart for queuing system visualization.
+![image](https://github.com/umershaikh123/priority-queue-simulator-p/assets/42178214/6874316e-7177-4a10-9ef9-fc660a544c5a)
 
-Check out our [Next.js deployment documentation](https://nextjs.org/docs/deployment) for more details.