Queuing theory and Poisson process

Queuing theory is indispensable, but here is an introduction to the simplest queuing model - an M/M/1 queue. Also included is the discussion on Poisson process, which is the underlying assumption for the M/M/1 queue.
Second channel video on variance of Poisson distribution: • Poisson distribution (...
To me, this is mainly a "prequel" which serves as a prerequisite for the next video, even though the next video is not as long.
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queuingmodelM/M/1
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Sources:
Different queues:
M/M/1 queue: en.wikipedia.o...
M/M/c queue: en.wikipedia.o...
M/M/∞ queue: en.wikipedia.o...
M/G/1 queue: en.wikipedia.o...
M/G/k queue: en.wikipedia.o...
G/M/1 queue: en.wikipedia.o...
G/G/1 queue: en.wikipedia.o...
Jackson Network: en.wikipedia.o...
More general queues: en.wikipedia.o...
The (transient) solution: Computer Networks and Systems. New York, NY: Springer New York. p. 72 (uses moment-generating function and Laplace transforms); for more details, see Gross, D. and Harris, C.M., Fundamentals of Queueing Theory, Wiley, New York, 1974, 1985. (Section 3.11.2)
Other related sources:
Markov Chains: www.statslab.c...
Birth-and-death chain: en.wikipedia.o...
Bessel functions (for the solution to the differential equations): en.wikipedia.o...
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