A Tutorial on Markov Renewal Theory Semi-Regenerative Processes and Their Applications.
VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF INDUSTRIAL ENGINEERING AND OPERATIONS RESEARCH
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This is a tutorial paper on Markov renewal processes, semi-regenerative processes and their applications to many fields of interest. It was presented in the tutorial sessions of the O.R.S.A.T.I.M.S. meetings in Colorado Springs, November, 1980. The paper reviews the basic ingredients of the processes discussed, such as structure of the process, semi-Markov kernels, Markov renewal functions, and integral equations of semi-regenerative processes. Considerable time is spent discussing several applications to combat line-of-sight, queueing, policy medical emergency systems, disease modelling, power generator reliability and worker fatigue. The bibliography of 21 items provides further readings for the beginner to pursue these topics. Author
- Statistics and Probability