Rationalization of detection of the multiple disorders

We will analyze the importance of elements of a complex structure on the availability of the system. The basis for the element assessment are the importance measures for multi-state systems introduced by Birnbaum (in: Krishaiah, Econometrics, principal components, reliability, and applications, Academic Press, New York, 1969) and Barlow and Proshan (Stoch Process Appl 3:153–173, 1975). The availability depends not only on the reliability, but also on the difficulty of maintenance, the ability to diagnose the need for service and its efficient implementation. If we assume that the need for maintenance is the result of deregulation, then determining the key elements to detect the moment of disorder of the system will be the basis for assessing the importance of the element for the system maintenance process.

[1]  Fioravante Patrone,et al.  Transversality of the Shapley value , 2008 .

[2]  J. Nash,et al.  NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[3]  Krzysztof Szajowski,et al.  On Some Distributed Disorder Detection , 2014, ArXiv.

[4]  Tomasz Bojdecki.  Probability maximizing approach to optimal stopping and its application to a disorder problem , 1980 .

[5]  F. Proschan,et al.  Importance of System Components and Fault Tree Events. , 1975 .

[6]  Minoru Yoshida.  Probability Maximizing Approach for Quickest Detection Problem with Complicated Markov Chain , 1983 .

[8]  Masami Yasuda,et al.  MULTI-VARIATE STOPPING PROBLEMS WITH A MONOTONE RULE , 1982 .

[9]  K. Szajowski,et al.  Optimal detection of transition probability change in random sequence , 2011 .

[10]  Albert N. Shiryaev,et al.  From “Disorder” to Nonlinear Filtering and Martingale Theory , 2006 .

[11]  Krzysztof Szajowski,et al.  Optimal on-line detection of outside observations , 1992 .

[12]  Krzysztof Szajowski,et al.  Voting Procedure on Stopping Games of Markov Chain , 1997 .

[13]  Krzysztof Szajowski.  Multi-variate Quickest Detection of Significant Change Process , 2011, GameSec.

[14]  Z W Birnbaum,et al.  ON THE IMPORTANCE OF DIFFERENT COMPONENTS IN A MULTICOMPONENT SYSTEM , 1968 .

[15]  L. Shapley,et al.  Stochastic Games* , 1953, Proceedings of the National Academy of Sciences.

[16]  A. Ochman-Gozdek,et al.  A precision of the sequential change point detection , 2014 .

[17]  I. García-Jurado,et al.  Values for Strategic Games in Which Players Cooperate , 2003 .

[18]  Branislav Bosanský,et al.  Game Theoretic Model of Strategic Honeypot Selection in Computer Networks , 2012, GameSec.

[19]  G. Owen.  Multilinear Extensions of Games , 1972 .

[20]  Hisashi Mine,et al.  Reliability of physical system , 1959, IRE Trans. Inf. Theory.

[21]  Alʹbert Nikolaevich Shiri︠a︡ev,et al.  Optimal stopping rules , 1977 .