Question: Generate a manual simulation for customers arriving at a single-queue, single-server system given the data shown in the table. Calculate average system time, average queue
- Generate a manual simulation for customers arriving at a single-queue, single-server system given the data shown in the table. Calculate average system time, average queue time and resource utilization based on the system for 18 min.
| # Customer | Interarrival time(min) | Service times (min) |
| 1 | 2 | 6 |
| 2 | 5 | 4 |
| 3 | 3 | 1 |
| 4 | 3 | 3 |
| 5 | 3 | 2 |
| 6 | 2 | 1 |
| # Customer | Interarrival time(min) | arrival | Begin | end | queue | System | Service times (min) |
| 1 | 2 | 2 | 2 | 8 | 0 | 6 | 6 |
| 2 | 5 | 7 | 8 | 12 | 1 | 5 | 4 |
| 3 | 3 | 10 | 12 | 13 | 2 | 3 | 1 |
| 4 | 3 | 13 | 13 | 16 | 0 | 3 | 3 |
| 5 | 3 | 16 | 16 | 18 | 0 | 2 | 2 |
| 6 | 2 | 18 | 18 | 20 | 1 |
Ave System time =( 6+5+3+3+2)/5=3.8 min
Ave Queue time = 3/5=0.6 min
Average resource utilization = 16/18 = 0.888889 = 89%
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