Question: Consider a simple single-server queueing model with an unlimited queue length. Entities arrive the system according to the Poisson process with a mean 6

Consider a simple single-server queueing model with an unlimited queue length. Entities arrive the system according to the Poisson process with a mean 6 arrivals/hour and the service time follows Exponential distribution with a mean of 6 min. (a) What is the distribution for the interarrival times of arrival entities? (b) What is the mean (i.e., average or expected value) of the interarrival times of arrival entities? (c) Calculate the theoretical results using the queueing theory. i. ii. iii. iv. V. Expected number in the queue: Expected number in the system: Expected waiting time in the queue: Expected system-in time: Expected utilization rate of the server: I (minutes) (minutes)

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