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On the Use of Stochastic Processes in Modeling Reliability Problems (Paperback)
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On the Use of Stochastic Processes in Modeling Reliability Problems (Paperback)
Series: Lecture Notes in Economics and Mathematical Systems, 252
Expected to ship within 10 - 15 working days
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Stochastic processes are powerful tools for the investigation of
reliability and availability of repairable equipment and systems.
Because of the involved models, and in order to be mathematically
tractable, these processes are generally confined to the class of
regenerative stochastic processes with a finite state space, to
which belong: renewal processes, Markov processes, semi-Markov
processes, and more general regenerative processes with only one
(or a few) regeneration staters). The object of this monograph is
to review these processes and to use them in solving some
reliability problems encountered in practical applications.
Emphasis is given to a comprehensive exposition of the analytical
procedures, to the limitations in volved, and to the unification
and extension of. the models known in the literature. The models
investigated here assume. that systems have only one repair crew
and that no further failure can occur at system down. Repair and
failure rates are general ized step-by-step, up to the case in
which the involved process is regenerative with only one (or a few)
regeneration state(s). Investigations deal with different kinds of
reliabilities and availabilities for series/parallel structures.
Preventive main tenance and imperfect switching are considered in
some examples."
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