Calculating waiting time and average queue length

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Reference no: EM1313663

Q1) First American bank is trying to find out whether it must install one or two drive-through teller windows. Following probability distributions for arrivals interval and service times have been developed from historical data:

Time Between Automobile Arrival (min)	Probability
1	0.2
2	0.6
3	0.1
4	0.1
	1

Service Time (min)	Probability
2	0.1
3	0.4
4	0.2
5	0.2
6	0.1
	1

Suppose that in two-server systems, the arriving car will join shorter queue. When queues are of equal length, there is a 5-50 chance driver will enter queue for either window.

a) Simulate both one-and two-teller systems, calculate waiting time, average queue length, and percentage utilization for each system.

b) Describe your results in (a) and propose the degree to which they could be utilized to make a decision about which system to empty.

Reference no: EM1313663

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