Semi-Markov models of prevention of unreliable single-channel service system with losses

Abstract

The monograph examines various maintenance strategies of a single-channel system with losses and unreliable recoverable service device under the assumption of a general type of random variables describing random processes occurring in the system. The apparatus for constructing models of the functioning of the system are semi-Markov processes with a measurable phase space of states and phase enlargement algorithms. Stationary probabilistic and economic indicators of the system are explicitly determined and the tasks of optimal frequency of maintenance of the device are solved. For researchers, engineers and specialists in the field of metamathematic theory of reliability, system analysis. It can be useful for graduate students and students of relevant specialties of technical universities and universities.