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Question

A maintenance service facility has Poisson arrival rates, negative exponential service time and operates on a 'first come first served' queue discipline. Break-downs occur on an average of 3 per day with a range of zero to eight. The maintenance crew can service an average of 6 machines per day with a range of zero to seven. The mean waiting time for an item to be serviced would be

A
3 day
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B
1 day
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C
1/6 day
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D
1/3 day
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Solution

The correct option is C 1/6 day
Given data:

Arrival rate: λ=3 per day

Service rate: λ=6 per day

Mean waiting time for an item to be serviced

=λμ(μλ)=36(63)=12×13=16 day

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