IGNOU AOR 1 2026 - ) A road transport company has one reservation clerk on duty at a time

Question

) A road transport company has one reservation clerk on duty at a time. He handles information of bus schedules and make reservations. Consumers arrive at a rate of 8 per hour and the clerk can service 12 customers on an average per hour.

09 Jan 2026

Answer :

Word Count : 174

Given: Arrival rate, λ = 8 per hour Service rate, μ = 12 per hour This is an M/M/1 queue. Utilization factor, ρ = λ / μ = 8 / 12 = 2 / 3 = 0.6667 Average number of customers in the system, (L_s = \frac{\rho}{1-\rho} = \frac{0.6667}{1-0.6667} = \frac{0.6667}{0.3333} \approx 2) Average

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