Journal ArticleDOI
Markov Approach to Finding Failure Times of Repairable Systems
TLDR
In this article, a Markov approach is used to calculate the mean cycle time and the mean time to first failure of a repairable system, and various special techniques such as lumping states or decomposing the system into independent subsystems are discussed.Abstract:
In analyzing repairable systems it is often necessary to determine such parameters as availability, mean cycle time, and mean time to first failure. These and other failure time measures are defined, and methods of calculating them using a Markov approach are developed. Although conceptually simple, these methods are often not practically feasible because of the large number of possible system states. Various special techniques such as lumping states or decomposing the system into independent subsystems are discussed. These techniques, if applicable, can simplify the analysis considerably.read more
Citations
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Journal ArticleDOI
Game Theory for Network Security
Xiannuan Liang,Yang Xiao +1 more
TL;DR: This paper reviews the existing game-theory based solutions for network security problems, classifying their application scenarios under two categories, attack-defense analysis and security measurement and discusses the limitations of those game theoretic approaches and proposes future research directions.
Journal ArticleDOI
The Concept of Coverage and Its Effect on the Reliability Model of a Repairable System
TL;DR: It is shown that even a small number of such faults may severely degrade the mean time to system failure and the expected downtime for an otherwise highly reliable system.
Journal ArticleDOI
Optimal Load Balancing in a Multiple Processor System with Many Job Classes
Lionel M. Ni,Kai Hwang +1 more
TL;DR: In the above paper1, an error was made in the Load Balancing Algorithm so a more clear recursive way to present this algorithm is to modify steps S3 to S5 as follows.
Journal ArticleDOI
Transient analysis of manufacturing systems performance
Yadati Narahari,N. Viswanadham +1 more
TL;DR: This paper focuses on transient analysis of Markovian models of manufacturing systems with deadlocks or failures, and discusses two problems for demonstrating the importance of transient analysis.
Journal ArticleDOI
A combined evaluation of performance and reliability for degradable systems
TL;DR: With good fault-detection mechanisms it is now possible to cover a very high percentage of all the possible failures that can occur, and once a fault is detected, systems are designed to reconfigure and proceed either with full or degraded performance depending on how much redundancy is built into the system.
References
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Book
Finite Markov chains
John G. Kemeny,J. Laurie Snell +1 more
TL;DR: This lecture reviews the theory of Markov chains and introduces some of the high quality routines for working with Markov Chains available in QuantEcon.jl.
Journal ArticleDOI
The decomposition of stochastic automata
TL;DR: With these definitions the authors are able to prove decomposition theorems for stochastic automata which reduce to those of Hartmanis in the deterministic case.
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Steady-State Reliability of Systems of Mutually Independent Subsystems
TL;DR: In this paper, the reliability of a redundant system with repair is considerably simplified when the system can be subdivided into mutually independent subsystems and results can be obtained without knowing the failure of repair time distributions of the subsystems.
Journal ArticleDOI
Finding the MTBF of repairable systems by reduction of the reliability block diagram
TL;DR: In this paper, the MTBF of a series-parallel reliability block diagram of a system of independent units with independent failures and with adequate repair facilities to initiate the repair of any unit when it fails are considered.
Journal ArticleDOI
Reliability Prediction for Continuously Operating Systems
M. Plotkin,S. Einhorn +1 more
TL;DR: In this article, the authors considered the prediction of reliability for a complex system designed for continuous operation, where the state of the system is defined by identifying the subsystems which are functioning, the remainder undergoing repair (no inactive standby).