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Industrial Engineering Miscellaneous

Industrial Engineering

  1. In a single server infinite population queuing model. Arrivals follow a Poisson distribution with mean λ = 4 per hour. The service times are exponential with mean service time equal to 12 minutes. The expected length of the queue will be
    1. 4
    2. 3.2
    3. 1.25
    4. 24.3
Correct Option: B

λ =
4
, μ =
1
6012

∴ ρ =
λ
=
48
= 0.8
μ60

Wq = queue length =
ρ2
=
(0.8)2
= 3.2
(1 – ρ)(1 – 0.8)



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