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Industrial Engineering Miscellaneous

Industrial Engineering

  1. 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
    1. 1/6 day
    2. 1/3 day
    3. 1 day
    4. 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

=
λ
=
3
=
1
×
1
=
1
day.
μ(μ − λ)6(6 − 3)236



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