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Simulation (1 problem)


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Problem #1: Monte Carlo Method

George Nanchoff owns a gas station. The cars arrive at the gas station according to the following inter-arrival time distribution. The time to service a car is given by the following service time distribution. Using the following random number sequence: 92, 44, 15, 97, 21, 80, 38, 64, 74, 08, estimate the average customer waiting time , average teller idle time and the average time a car spends in the system.

Interarrival times (in min.)

P(X)

Random Numbers

Service time (in minutes)

P (X)

Random Numbers

4

.35

00-34

2

.30

00-29

7

.25

35-59

4

.40

30-69

10

.30

60-89

6

.20

70-89

20

.10

90-99

8

.10

90-99
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