The general theory of stochastic processes and the more
specialized theory of Markov processes evolved enormously in the
second half of the last century. In parallel, the theory of
controlled Markov chains (or Markov decision processes) was being
pioneered by control engineers and operations researchers.
Researchers in Markov processes and controlled Markov chains have
been, for a long time, aware of the synergies between these two
subject areas. However, this may be the first volume dedicated to
highlighting these synergies and, almost certainly, it is the first
volume that emphasizes the contributions of the vibrant and growing
Chinese school of probability. The chapters that appear in this
book reflect both the maturity and the vitality of modern day
Markov processes and controlled Markov chains. They also will
provide an opportunity to trace the connections that have emerged
between the work done by members of the Chinese school of
probability and the work done by the European, US, Central and
South American and Asian scholars.
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