🏦COC - Project - Bank Queue Simulator

Project Description:-

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The Bank Queue (Poisson) Simulator is a C program that models how customers arrive and are served at a bank throughout a typical 8-hour working day (480 minutes).
The simulation helps the bank’s management analyze customer wait times and decide whether hiring additional tellers is necessary.

This program uses the Poisson distribution to realistically simulate customer arrivals and linked lists with dynamic memory (malloc() / free()) to manage the queue efficiently.
At the end of the simulation, the program calculates key statistical metrics — mean, median, mode, standard deviation, and Longest wait time — to provide actionable insights.

Concepts Used:-

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C Programming Concepts

• struct (to represent customers and queue)
• Dynamic Memory Management: malloc(), free()
• Pointers and Linked Lists
• Modular Functions (customer_arrives(), serve_customer(), etc.)
• Control Structures: {for, if/else, while}
• Random Number Generation (rand(), srand())
• Math Library (<math.h>)

Mathematical Concepts

• Poisson Distribution (models customer arrivals per minute)
• Central Tendencies:
  • Mean
  • Median
  • Mode
• Standard Deviation (measure of variation in wait times)
• Data Analysis of customer waiting patterns

How to Compile:-

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Use the following command to compile the program:

[gcc bank_queue.c -o bank_queue -lm]

How to Run:-

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Example Terminal Session:

# Compile the program
$ gcc bank_queue.c -o bank_queue -lm

# Run the program
$ ./bank_queue

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    BANK QUEUE SIMULATOR (8-hour day)
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Enter the average number of customers arriving per minute (λ): 1
Enter the number of tellers: 3
Enter the service time per customer (min.): 3

Simulating 8-hour day (480 minutes)...

===== WAIT TIME ANALYSIS =====
Mean wait time: 16.30 minutes
Median wait time: 18.00 minutes
Mode wait time: 25 minutes
Standard Deviation: 8.38 minutes
Longest wait time: 31 minutes
========================================

RECOMMENDATION: Average wait time exceeds 10 minutes.
Consider hiring additional tellers.