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: 638671744511021514180714586839310813554799458854709896954367911508303030412003063754084592836455957572438386509911197616653540102266466014715702

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