Abstract
Multi-State System (MSS) is mathematical model that is used in reliability engineering for the representation of initial investigated object (system). In a MSS, both the system and its components may experience more than two states (performance levels). One of possible description of MSS is a structure function that is defined correlation between a system components states and system performance level. The investigation of a structure function allows obtaining different properties, measures and indices for MSS reliability. For example, boundary system’s states, probabilities of a system performance levels and other measures are calculated based a structure function. In this paper mathematical approach of Direct Partial Logical Derivatives is proposed for calculation of boundary states of MSS.
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This work was partially supported by grant of Scientific Grant Agency of the Ministry of Education of Slovak Republic (Vega 1/0498/14).
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Zaitseva, E., Levashenko, V., Kostolny, J., Kvassay, M. (2016). Analysis of Boundary States of Multi-state System by Direct Partial Logic Derivatives. In: Yakovyna, V., Mayr, H., Nikitchenko, M., Zholtkevych, G., Spivakovsky, A., Batsakis, S. (eds) Information and Communication Technologies in Education, Research, and Industrial Applications. ICTERI 2015. Communications in Computer and Information Science, vol 594. Springer, Cham. https://doi.org/10.1007/978-3-319-30246-1_9
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