This textbook has been developed from the lecture notes for a
one-semester course on stochastic modelling. It reviews the basics
of probability theory and then covers the following topics: Markov
chains, Markov decision processes, jump Markov processes, elements
of queueing theory, basic renewal theory, elements of time series
and simulation. Rigorous proofs are often replaced with sketches of
arguments -- with indications as to why a particular result holds,
and also how it is connected with other results -- and illustrated
by examples. Wherever possible, the book includes references to
more specialised texts containing both proofs and more advanced
material related to the topics covered.
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