Question

The manager of a small post office is concerned that the growing township is overloading the one-window service being offered. Sample data are collected on 100 individuals who arrive for service:
Time between Arrivals
(inter arrival time)
(minutes) Frequency
1 8
2 35
3 34
4 17
5 6
Service Time
(minutes) Frequency
1.0 12
1.5 21
2.0 36
2.5 19
3.0 7
3.5 5
Using the following random number sequence, simulate six arrivals, assume the first arrival is time 0.
RN for inter-arrivals: 08, 74, 24, 34, 45, 86
RN for service time: 31, 32, 45, 21, 10, 67
1. What is the time required to serve the third customer?
2. When does the operator begin processing the fourth customer?
3. How long is the fifth customer wait in line?
4. When the sixth customer arrives, will the customer get served right away?
5. For the six customers simulated above, what is the average waiting time?

Answer 1

Answer:

1) 2 minutes

2) 7 minutes

3) Zero ( 0 )  minutes

4) yes

5) zero ( 0 ) minutes

Explanation:

1) Time required to serve

= 2 minutes

2) The operator will begin processing the fourth customer at 7 minutes

3) The fifth customer will wait in line for zero ( 0 ) minutes

4) Yes the sixth customer will get served right away

5) The average waiting time for the 6 simulated customers is Zero ( 0 )

Attached below is the simulation of the six arrivals