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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
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- 1/6 day
- 1/3 day
- 1 day
- 3 day
Correct Option: A
Given: λ = 3 per day (arrival rate)
μ = 6 per day (service rate)
Mean waiting time for an item to serviced
= | = | = | × | = | day. | |||||
μ(μ − λ) | 6(6 − 3) | 2 | 3 | 6 |