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Chapter 5
Instantaneous Availability
Model of System with
Finite Time Restrained
and Proof of Its Stability
5.1 Introduction
In practical engineering, the service life, repair time after failure, and the logistic
time of unit are all limited. In this chapter, the instantaneous availability model of
a system with finite time restrained is established based on Chapter 2. e stability
of system instantaneous availability is proven with matrix theory (i.e., the existence
of steady-state availability); in addition, the expression of system steady-state avail-
ability is obtained.
5.2 General Repairable System
5.2.1 Instantaneous Availability Model