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Probability & Statistics Review:

Consider a queueing system whose arrival rate is 3/hr and service rate is 5/hr. If the average number of entities in the syst

Please write out your solutions. It is much appreciated.

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Answer #1

a)

Average Waiting Time = Number of Entities in System/Arrival Rate

Average Waiting time = 5/3 = 1.6667 Hours

c)

Average Number of Entities in queue = Average Number of Entities in system - (Arrival Rate/Service Rate)

Average Number of Entities in queue = 5 - (3/5)

Average Number of Entities in queue = 5 - 0.6

Average Number of Entities in queue = 4.4 ~ 5 entities

b)

Average Waiting time in queue = Average Number of Entities in queue/Arrival Rate

Average Waiting time in queue = 4.4/3 = 1.46667 Hours

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