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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