Simulation Table 276C97
1. **Problem Statement:**
Prepare a simulation table showing system states, future event lists, and cumulative statistics until the clock reaches time 15, using the given interarrival and service times. The stopping event is at time 30.
2. **Given Data:**
- Interarrival times: $1, 5, 6, 3, 8$
- Service times: $3, 5, 4, 1, 5$
3. **Simulation Approach:**
We use the event scheduling method where events are arrivals and departures.
4. **Step-by-step Simulation:**
- Initialize clock at 0.
- Schedule first arrival at $0 + 1 = 1$.
- For each arrival, schedule next arrival and service completion.
| Event | Time | System State | Future Event List | Cumulative Statistics |
|-------|------|--------------|-------------------|-----------------------|
| Start | 0 | Idle | Arrival at 1 | 0 arrivals, 0 departures|
| Arrival 1 | 1 | 1 in system | Arrival at 6, Departure at 4 | 1 arrival |
| Arrival 2 | 6 | 1 in system | Arrival at 12, Departure at 9 | 2 arrivals, 1 departure |
| Arrival 3 | 12| 1 in system | Arrival at 15, Departure at 13 | 3 arrivals, 2 departures |
| Arrival 4 | 15| 2 in system | Departure at 16 | 4 arrivals, 3 departures |
5. **Explanation:**
- At each arrival, if server is idle, start service immediately.
- Departure time = arrival time + service time.
- Update future event list accordingly.
- Continue until clock reaches 15.
6. **Final Answer:**
Simulation table constructed as above shows system states, future event lists, and cumulative statistics until time 15.
**Note:** The second question about the ABLE-BAKER call center problem is not solved here as per instructions to solve only the first problem.