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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
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- 4
- 3.2
- 1.25
- 24.3
- 4
Correct Option: B
| λ = | , μ = | |||
| 60 | 12 |
| ∴ ρ = | = | = 0.8 | ||
| μ | 60 |
| Wq = queue length = | = | = 3.2 | ||
| (1 – ρ) | (1 – 0.8) |