In: Operations Management
Part A: The number of cars arriving at a self-service gasoline station during the last 50 hours of operation are as follows:
Number of Cars Arriving |
Frequency |
6 |
10 |
7 |
12 |
8 |
20 |
9 |
8 |
The following random numbers have been generated: 44, 30, 26, 09, 49, 13, 33, 89, 13, 37. Simulate 10 hours of arrivals at this station. What is the average number of arrivals during this period?
Part B: The time between arrivals at a drive-through window of a fast-food restaurant follows the distribution given below. The service time distribution is also given in the table in the right column. Use the random numbers provided to simulate the activity of the first five arrivals. Assume that the window opens at 11:00 a.m. and the first arrival is after this, based on the first interarrival time generated.
Time |
|||
Between |
Service |
||
Arrivals |
Probability |
Time |
Probability |
1 |
0.2 |
1 |
0.3 |
2 |
0.3 |
2 |
0.5 |
3 |
0.3 |
3 |
0.2 |
4 |
0.2 |
Random numbers for arrivals: 14, 74, 27, 03
Random numbers for service times: 88, 32, 36, 24
What time does the fourth customer leave the system?