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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