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• catalog abstract "This work is concerned with the dependability characteristics of reliability models which have a partitioned state space. In applications these partitions will correspond to various degrees of system performance. Both discrete and continuous time systems are considered as well as Markov and semi-Markov systems. With these models one may develop many dependability characteristics including: the number of working periods during an interval, the number of repair periods until system breakdown, and the total time spent in the set of working states. The author shows how the theory may be applied using numerous examples and with three computing packages: MATLAB, MAPLE, and the NAG Fortran 77 subroutine library. As a result, researchers and practioners concerned with analyzing and modelling the performance of systems, and engineers working on systems dependability will find much of interest here.".
• catalog contributor b6508291.
• catalog created "c1994.".
• catalog date "1994".
• catalog date "c1994.".
• catalog dateCopyrighted "c1994.".
• catalog description "1. Stochastic processes for dependability assessment -- 2. Sojourn times for discrete-parameter Markov chains -- 3. The number of visits until absorption to subsets of the state space by a discrete-parameter Markov chain: the multivariate case -- 4. Sojourn times for continuous-parameter Markov chains -- 5. The number of visits to a subset of the state space by a continuous-parameter irreducible Markov chain during a finite time interval -- 6. A compound measure of dependability for continuous-time Markov models of repairable systems -- 7. A compound measure of dependability for continuous-time absorbing Markov systems -- 8. Sojourn times for finite semi-Markov processes -- 9. The number of visits to a subset of the state space by an irreducible semi-Markov process during a finite time interval: moment results -- 10. The number of visits to a subset of the state space by an irreducible semi-Markov process during a finite time interval: the probability mass function.".
• catalog description "11. The number of specific service levels of a repairable semi-Markov system during a finite time interval: joint distributions -- 12. Finite time-horizon sojourn times for finite semi-Markov processes.".
• catalog description "Includes bibliographical references and index.".
• catalog description "This work is concerned with the dependability characteristics of reliability models which have a partitioned state space. In applications these partitions will correspond to various degrees of system performance. Both discrete and continuous time systems are considered as well as Markov and semi-Markov systems. With these models one may develop many dependability characteristics including: the number of working periods during an interval, the number of repair periods until system breakdown, and the total time spent in the set of working states. The author shows how the theory may be applied using numerous examples and with three computing packages: MATLAB, MAPLE, and the NAG Fortran 77 subroutine library. As a result, researchers and practioners concerned with analyzing and modelling the performance of systems, and engineers working on systems dependability will find much of interest here.".
• catalog extent "ix, 241 p. :".
• catalog hasFormat "Dependability for systems with a partitioned state space.".
• catalog identifier "0387943331".
• catalog isFormatOf "Dependability for systems with a partitioned state space.".
• catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; v. 90.".
• catalog isPartOf "Lecture notes in statistics ; 90".
• catalog issued "1994".
• catalog issued "c1994.".
• catalog language "eng".
• catalog publisher "New York : Springer-Verlag,".
• catalog relation "Dependability for systems with a partitioned state space.".
• catalog subject "620/.00452/01176 20".
• catalog subject "Distribution (Probability theory).".
• catalog subject "Markov processes.".
• catalog subject "Mathematics.".
• catalog subject "Reliability (Engineering) Mathematical models.".
• catalog subject "TA169 .C73 1994".
• catalog tableOfContents "1. Stochastic processes for dependability assessment -- 2. Sojourn times for discrete-parameter Markov chains -- 3. The number of visits until absorption to subsets of the state space by a discrete-parameter Markov chain: the multivariate case -- 4. Sojourn times for continuous-parameter Markov chains -- 5. The number of visits to a subset of the state space by a continuous-parameter irreducible Markov chain during a finite time interval -- 6. A compound measure of dependability for continuous-time Markov models of repairable systems -- 7. A compound measure of dependability for continuous-time absorbing Markov systems -- 8. Sojourn times for finite semi-Markov processes -- 9. The number of visits to a subset of the state space by an irreducible semi-Markov process during a finite time interval: moment results -- 10. The number of visits to a subset of the state space by an irreducible semi-Markov process during a finite time interval: the probability mass function.".
• catalog tableOfContents "11. The number of specific service levels of a repairable semi-Markov system during a finite time interval: joint distributions -- 12. Finite time-horizon sojourn times for finite semi-Markov processes.".
• catalog title "Dependability for systems with a partitioned state space : Markov and semi-Markov theory and computational implementation / Attila Csenki.".
• catalog type "text".