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 and the random numbers below 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:

63 86 71 74 45 11 02 15 14 18 07 14 58 68 39

31 08 13 55 47 99 45 88 54 70 98 96 95 43 67

91 15 08 30 30 30 41 20 03 06 37 54 08 45 92

83 64 55 95 75 72 43 83 86 50 99 11 19 76 16

65 35 40 10 22 66 46 60 14 71 57 02