TY - JOUR
T1 - Numerical analysis of gracefully degrading fault-tolerant computer systems
T2 - Semi-markov and laguerre transform approach
AU - Masuda, Yasushi
AU - Sumita, Ushio
N1 - Funding Information:
Acknowledgements-The authors wish to thank anonymous refereesf or their valuable comments and suggestionso n the earlier version of the paper. The second author was partially supported by IBM Program of Support for Education in the Management of Information Systems, NSF Grant ECS-8600992 and NIT Research Fund.
PY - 1991
Y1 - 1991
N2 - A gracefully degrading fault-tolerant computer system is considered where the system performance deteriorates through several stages depending on its configuration. The usual exponentiality assumption is totally eliminated and the model is based on a semi-Markov approach. By exploring the underlying linear structure of the model, efficient numerical procedures are developed for computation of variety of performability measures via the Laguerre transform. A tradeoff regarding when to repair the whole system is also discussed. A numerical example captures the almost periodic nature of the system, thereby demonstrating the importance of the dynamic analysis. Also, the impact of the common exponentiality assumption on performance measures is investigated through the example.
AB - A gracefully degrading fault-tolerant computer system is considered where the system performance deteriorates through several stages depending on its configuration. The usual exponentiality assumption is totally eliminated and the model is based on a semi-Markov approach. By exploring the underlying linear structure of the model, efficient numerical procedures are developed for computation of variety of performability measures via the Laguerre transform. A tradeoff regarding when to repair the whole system is also discussed. A numerical example captures the almost periodic nature of the system, thereby demonstrating the importance of the dynamic analysis. Also, the impact of the common exponentiality assumption on performance measures is investigated through the example.
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U2 - 10.1016/0305-0548(91)90007-E
DO - 10.1016/0305-0548(91)90007-E
M3 - Article
AN - SCOPUS:0026387724
SN - 0305-0548
VL - 18
SP - 695
EP - 707
JO - Computers and Operations Research
JF - Computers and Operations Research
IS - 8
ER -