Consider a queueing system with one server, and consider that this server serves

Question

Consider a queueing system with one server, and consider that this server serves packets following an exponential service time with mean E[T] = 2 seconds. Packets arrive with a Poisson distribution with mean l = 0.25 packets per second?

a.       What queue model is this?

b.      Is the system stable?

c.       What is the total delay experienced by a customer in this system, from the moment it arrives until it is served?

d.      Assuming now that the arrival rate doubles at evening hours, what is the new total delay experienced by the packets in this system?

Explanation / Answer

a) Arrival distribution / service distribution / # of servers
where:

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