Question: A service centre has two technicians, one experienced and one trainee, who service machines at different rates. It is estimated that, 70% of customers use

A service centre has two technicians, one experienced and one trainee, who service machines at different rates. It is estimated that, 70% of customers use the experienced technician and 30% use the trainee for service. The arrival rate for each minute of operation is given by the following probability distribution:

No. of arrivals per hour of operation

Probability

0

0.10

1

0.20

2

0.35

3

0.30

4

0.05

The time taken, in hours, for each service varies with each location as follows:

Experienced

Trainee

Service Time

Probability

Service Time

Probability

2

0.10

3

0.20

3

0.20

4

0.30

4

0.60

5

0.35

5

0.10

6

0.10

7

0.05

Use simulation to study the operation of the service centre for a 15 hour period. Fully analyse all your results. Comment on simulation as a means of assessing such problems.

Random numbers: 20 18 94 83 27 56 49 83 17 74 26 75

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