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Industrial Engineering Miscellaneous

Industrial Engineering

  1. Cars arrive at a service station according to Poisson's distribution with a mean rate of 5 per hour. The service time per car is exponential with a mean of 10 minutes. At steady state, the average waiting time in the queue is
    1. 10 minutes
    2. 20 minutes
    3. 25 minutes
    4. 50 minutes
Correct Option: D

Wq =
ρ
μ - λ

where λ = 5/hr
μ = 6/hr
ρ =
λ
=
5
μ6

∴ Wq =
5/6
=
5
hr = 50 min
6 - 56



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