Subject: Problem 1 of PS3
From: Rajmohan Rajaraman (rraj@ccs.neu.edu)
Date: Sat Nov 10 2001 - 15:35:39 EST
Folks,
I wanted to make some clarification concerning Problem 1 of PS3,
especially since there was quite some confusion with the network of
queues in the midterm.
(1) Assume that the arrival process into the system in each case is
Poisson with rate $\lambda$.
(2) Assume that the service time for each customer in *each queue* is
exponentially distributed with the rate as indicated in the box
associated with the queue. Furthermore, for system (a), assume that
the service time for a customer in one queue is *independent* of the
service time in another queue. (Note that this assumption is
different than the one I assumed for the midterm problem.)
(3) In system (c), assume that when a customer arrives, it is directed
to one of the 3 queues uniformly at random, which is why the arrival
rates into each of the three queues is $\lambda/3$.
Hope this clarifies your doubts. Please let me know if you have any
other questions. Best,
Rajmohan.
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