A practical dependability measure for degradable computer systems with non-exponential degradation

This paper proposes a vectorized measure for a set of behavioural dependability attributes. The measure is based on Markov processes and is intended for practical dependability trade-offs. It describes the system performance on a number of service levels. Thus, it is possible to merge attributes such as reliability, safety and performability into one single quality. Whereas reliability describes the functional fulfillment of a system, performability reflects its ability of functional degradation. The safety attribute handles a class of failures with catastrophic consequences and can be accommodated by means of introducing two or more service levels for a failed system.Many systems exhibit time-dependent degradation rates and non–exponential lifetimes. This situation can be handled by means of applying phase–type assumptions and introducing some additional states to the system, which would allow us to remain within the universe of Markov modelling.

[1]  Tomas Olovsson,et al.  On the Integration of Security and Dependability in Computer Systems , 1992 .

[2]  Alexander Graham,et al.  Kronecker Products and Matrix Calculus: With Applications , 1981 .

[3]  Kishor S. Trivedi Probability and Statistics with Reliability, Queuing, and Computer Science Applications , 1984 .

[4]  M. Degroot,et al.  Probability and Statistics , 2021, Examining an Operational Approach to Teaching Probability.

[5]  M. Olsson,et al.  Estimation of phase type distributions from censored samples , 1993 .

[6]  Marcel F. Neuts,et al.  Matrix-Geometric Solutions in Stochastic Models , 1981 .

[7]  Walter L. Smith Probability and Statistics , 1959, Nature.

[8]  John F. Meyer,et al.  On Evaluating the Performability of Degradable Computing Systems , 1980, IEEE Transactions on Computers.

[9]  Michael R. Lyu,et al.  What is software reliability? , 1994, Proceedings of COMPASS'94 - 1994 IEEE 9th Annual Conference on Computer Assurance.

[10]  S K Trivedi,et al.  A Performability Analysis of Two Multi-Processor Systems , 1986 .

[11]  Sergio Bittanti Software Reliability Modelling and Identification , 1988, Lecture Notes in Computer Science.

[12]  M.D. Beaudry,et al.  PERFORMANCE RELATED RELIABILITY MEASURES FOR COMPUTING SYSTEMS , 1995, Twenty-Fifth International Symposium on Fault-Tolerant Computing, 1995, ' Highlights from Twenty-Five Years'..

[13]  Ronald A. Howard,et al.  Dynamic Probabilistic Systems , 1971 .

[14]  Ren Asmussen,et al.  Fitting Phase-type Distributions via the EM Algorithm , 1996 .

[15]  John F. Meyer,et al.  Performability: A Retrospective and Some Pointers to the Future , 1992, Perform. Evaluation.

[16]  H. Kopetz,et al.  Dependability: Basic Concepts and Terminology , 1992, Dependable Computing and Fault-Tolerant Systems.