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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.
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- 2.1min
- 2.5 min
- 3.5 min
- 2 min
Correct Option: B
λ = 12 /hr, μ = 24 /hr
ρ = | = | = 0.5 | ||
μ | 24 |
Expected time that the customer in the queue
Wq = | = | ||
λ | λ |
= | - ρ | = | - 0.5 | ||
1 - ρ | |||||
λ | 12 |
= | hr = | × 60 min | ||
12 | 12 |
= 2.5 min