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M/D/1. Arrivals: Average time between customer arrivals, IAT=7 minutes. Service:The service station is now automated, no...

  1. M/D/1.

    Arrivals: Average time between customer arrivals, IAT=7 minutes.

    Service:The service station is now automated, no variability in service time exists. The time required to complete a job is exactly 6 minutes.

    Wq=

    18min

    10min

    20min

    need more information
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Here arrival time = 7 mins

arrival rate = = (1/7) min-1

Service time = 6 mins

service rate = = (1/6) min-1

Utilization rate = = / = 6/7

The average waiting time in the queue (line), ω Q is given by = /[2(1 - )] = (6/7) / [2 * 1/6 * (1 - 6/7)]

= (6/7)/(2 * 1/6 * 1/7)

= 18 min

Option A is correct.

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