This is my solution for the simulation and modeling midterm 2025: Google Drive Link.
The Full Table
| 1 |
0 |
0 |
0 |
2 |
2 |
0 |
2 |
0 |
| 2 |
4 |
4 |
4 |
4 |
8 |
0 |
4 |
2 |
| 3 |
3 |
7 |
8 |
2 |
10 |
1 |
3 |
0 |
| 4 |
5 |
12 |
12 |
3 |
15 |
0 |
3 |
2 |
| 5 |
1 |
13 |
15 |
4 |
19 |
2 |
6 |
0 |
| 6 |
5 |
18 |
19 |
5 |
24 |
1 |
6 |
0 |
Question 1
Question 1
| idle time of server for the second customer |
2 |
| waiting time in queue for the 6th customer |
1 |
| the time when the service begins for the 4th customer |
12 |
| the amount of time the 3rd customer spends in system |
3 |
| arrival time for the 6th customer |
18 |
| the time when the service ends for the 3rd customer |
10 |
Question 2
Question 2
| Average time between arrivals |
3.6 |
| Probability that customer wait |
0.5 |
| Average waiting time |
0.667 |
| Proportion of server idle time |
1/6 = 0.1667 |