Question
Download Solution PDFFor a M/M/I/∞/∞/FCFS queue model, the mean arrival rate is equal to 10 per hour and the mean service rate is 15 per hour. The expected queue length is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Queuing Theory
Given:
Mean arrival rate (λ) = 10/hr, Mean service rate (μ) = 15/hr
∴ Traffic intensity, \(\rho = \frac{\lambda }{\mu } = \frac{2}{3}\)
Queue length = \(\frac{{{\rho ^2}}}{{1 - \rho }}\)
Calculation:
Queue length = \(\frac{{4/9}}{{1/3}}\) = 4/3
∴ Queue length = 1.33Last updated on May 26, 2025
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