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Industrial Engineering Miscellaneous

Industrial Engineering

  1. In a single-channel queuing model, the customer arrival rate is 12 per hour and the serving rate is 24 per hour. The expected time that a customer is in queue is minutes.
    1. 2.1min
    2. 2.5 min
    3. 3.5 min
    4. 2 min
Correct Option: B

λ = 12 /hr, μ = 24 /hr

ρ =
λ
=
12
= 0.5
μ24

Expected time that the customer in the queue
Wq =
Lq
=
Ls - ρ
λλ

=  
ρ
- ρ =  
0.5
- 0.5
1 - ρ
1 - 0.5
λ12

=
0.5
hr =
0.5
× 60 min
1212

= 2.5 min



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