I am an undergraduate student who is going to be taking a queuing theory introductory course next semester, I am wondering what's a good introductory book out there? (my math background is probability theory, linear algebra and differential equations)
Good Queuing Theory Introductory Textbook
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Have you checked out Leonard Kleinrock's books? I am not an expert (in fact, I have taken only an introductory course in queueing theory), and have not read his books; but I wanted to mention them for completeness.
His two-volume book on queueing theory (Theory and Computer Applications) is old now (first published around 1975), so I am guessing they are probably outdated; but I am not sure about this. Also perhaps they are still good enough for an introductory course?
While searching, I also found a problem book Queueing Systems: Problems and Solutions that is more recent, but is still 15 years old now. The publishers' note says:
Queueing theory is an effective tool for studying several performance parameters of computer systems. It is a difficult subject, and the best way to comprehend queueing theory is by working on information processing problems. This manual contains all of the problems from Kleinrock's Queueing Systems, Volume 1 and their solutions...
I thought I'll point you to online resources available for Queueing Theory. Hope this helps!
The first one and the second one consisting of a list of books available online.
You could also get motivation (at the cost of missing some finer mathematical details) from here. The solutions are also available here