Abstract
Semi-group theory of linear operators is the theoretical basis and an important tool for the research of repairable systems, which plays an essential role especially in discussing the suitability, asymptotics, and stability of system solutions. In this paper, a class of repairable computer system models is studied based on the normal semi-group theory. The theory of normal sub-semigroup is used to discuss the inverse semi-group features of system operators. The results show that system operators have closedness, consistency, and dissipativity.
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