Create a program that simulates the minute-by-minute operation of a checkout line, such as one you might find in a retail store. Use the following parameters:

1) Customers arrive at the checkout line and stand in line until the cashier is free.

2) When they reach the front of the line, they occupy the cashier for some period of time (referred to as ServiceTime) measured in minutes.

3) After the cashier is free, the next customer is served immediately.

4) Customers arrive at the checkout line at ArrivalRate per minute. Use the function included below (randomChance()) to return the number of customers arriving in a given minute, determined randomly.

5) The line can only hold so many people, MaxLineSize, until new arriving customers get frustrated and leave the store without purchasing anything.

6) ServiceTime is determined at the point the customer reaches the cashier, and should be taken from the random interval MinServiceTimeand MaxServiceTime -- use the function randomInt() provided.

7) The overall time of the simulation is SimulationTime, measured in minutes.

The program should take 6 inputs (to be read from a text file named simulation.txt, as numbers only, one per line, in this order):

- SimulationTime - total number of minutes to run the simulation (whole number).

- ArrivalRate - per-minute arrival rate of customers (a floating point number greater than 0 and less than 1). This number is the "percent chance" that a customer will arrive in a given minute. For example, if it is 0.4, there is a 40% chance a customer will arrive in that minute.

arrive in that minute.

- MinServiceTime - the minimum expected service time, in minutes (whole number).

- MaxServiceTime - the maximum expected service time, in minutes (whole number).

- MaxLineSize - the maximum size of the line. If a new customer arrives and the line has this many customers waiting, the new customer leaves the store unserviced.

- IrateCustomerThreshold - nobody enjoys standing in line, right? This represents the number of minutes after which a customer becomes angry waiting in line (a whole number, at least 1). These customers do not leave, they only need to be counted.

At the end of each simulation, the program should output:

- The total number of customers serviced

- The total number of customers who found the line too long and left the store.

- The average time per customer spent in line

line

- The average number of customers in line

- The number of irate customers (those that had to wait at least IrateCustomerThreshold minutes)

You are free to use any STL templates as needed (queue or vector, for example).

An example input file is posted in this week's Module here.

Example Run

The output should look similar to this. This example is for the first test case in the sample file.  Your output may vary somewhat because of the randomness in the simulation. In the below case, with ArrivalRate set to 0.1, we would expect about 200 people to arrive. If we add the number of customers serviced (183) with the customers leaving (25) that gives us a number (208) which is close enough to 200 to be possible for one run.

Simulation Results
------------------
Overall simulation time:     2000
Arrival rate:                 0.1
Minimum service time:           5
Maximum service time:          15
Maximum line size:              5
Customers serviced:           183
Customers leaving:             25
Average time spent in line: 33.86
Average line length:         3.15
Irate customers                10

Random Functions

Use these provided functions for generating your random chance (for a customer arrival) and interval for service times. 

bool randomChance(double prob) { 
    double rv = rand() / (double(RAND_MAX) + 1); 
    return (rv < prob); 
} 

int randomInt(int min, int max) { 
    return (rand() % (max - min) + min); 
} 

Before calling these functions be sure to seed the random number generator (you can create this in main()):

srand(time(0));

Here are the inputs:

2000
0.10
5
5
15
10000
20
0.05
18
5
15
5
5
2000
0.20
2000
20
10
10
25
0.20
1
5
10
2
20000
0.50
1
50
10