Semi-Markov Processes

Preface

Franciszek Grabski

The semi-Markov processes were introduced independently and almost simultaneously by Levy [70], Smith [92], and Takacs [94] in 1954-1955. The essential developments of semi-Markov processes theory were proposed by Pyke [85, 86], Cinlar [15], Koroluk and Turbin [60-62], Limnios [72], Takacs [95]. Here we present only semi-Markov processes with a discrete state space. A semi-Markov process is constructed by the Markov renewal process, which is defined by the renewal kernel and the initial distribution or by other characteristics that are equivalent to the renewal kernel.

Semi-Markov Processes: Applications in System Reliability and Maintenance consists of a preface, 15 relatively short chapters, a summary, and a bibliography. ...