Question: Consider an M/G/1 queue with = 2 per minute. The service distribution has a mean of 0.25 min. For the service distribution, a standard

Consider an M/G/1 queue with λ = 2 per minute. The service distribution has a mean of 0.25 min. For the service distribution, a standard deviation of 1/M (minutes) can be achieved for a pro-rated cost of $M per minute. The cost of delay is $3 per minute of delay in queue per customer. What is the standard deviation of service time that minimizes cost?

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