Markov processes form a fundamental class of stochastic models in which the evolution of a system is delineated by the memoryless property. In such processes, the future state depends solely on the ...

Brief review of conditional probability and expectation followed by a study of Markov chains, both discrete and continuous time. Queuing theory, terminology, and single queue systems are studied with ...

Quasi-stationary distributions (QSDs) offer a compelling framework for understanding the long-term behaviour of Markov processes that possess an absorbing state. In many natural and engineered systems ...

The Annals of Statistics, Vol. 4, No. 6 (Nov., 1976), pp. 1219-1235 (17 pages) The paper deals with continuous time Markov decision processes on a fairly general state space. The rewards are ...

Content: In this lecture we analyse the class of Markov processes in continuous time. We start with a focus on processes processes in discrete state spaces. For this we introduce point processes as a ...