In computer network of a software company arrival of printing message follows poission law on an average at every 10 minutes, printer prints message takes on an average 6 minutes to print following exponential law. Find average arrival rate and average service rate for 1 hour average arrival rate and average rate for 15 min

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In computer network of a software company arrival of printing message follows poission law on  an average at every 10 minutes, printer prints message takes on an average 6 minutes to print following exponential law. Find  average arrival rate and average service rate for 1 hour average arrival rate and average rate for 15 min

Suresh Chand · Accepted Answer

Solution: i) 1 message arrives in 10 minutes 6 messages arrives in 60 minutes Hence λ = 6 per hour (average arrival rate) 10 messages serve in 60 minutes Hence μ = 10 per hour (average service rate)   ii) 1 message arrives in 10 minutes 1.5 messages arrives in 15 minutes Hence λ = 1.5 per 15 per 15 minutes (average arrival rate) 1 messages serves in 6 minutes 2.5 messages serve in 15 minutes Hence μ = 2.5 per 15 minutes (average service rate)

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