Computational efficiency of the continuous cell-to-cell mapping technique as a function of integration schemes

Reliability Engineering and System Safety

Volumn 58, Issue 3, 1997, Pages 215-223

  Tombuyses, Beatrice ^a   Aldemir, Tunc ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; INTEGRATION; NONLINEAR CONTROL SYSTEMS; PROCESS CONTROL; RELIABILITY;

CONTINUOUS CELL TO CELL MAPPING TECHNIQUE (CCCMT); FOURTH ORDER RUNGE KUTTA SCHEME;

MARKOV PROCESSES;

EID: 0031346376     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0951-8320(97)00075-6     Document Type: Article

References (12)

1. Tombuyses, B. and Aldemir, T., Continuous cell-to-cell mapping and dynamic PSA. In ICONE-4, April 1996, American Society of Mechanical Engineers, New York, pp. 431-438.
2. Tombuyses, B. and Aldemir, T., Dynamic PSA of process control systems via continuous cell-to-cell mapping. In Probabilistic Safety Assessment and Management, (eds P. C. Cacciabue, I. A. Papazoglou), Springer-Verlag, New York, N.Y., 1996, pp. 1541-1546.
3. Tombuyses, B. and Aldemir, T., Continuous cell-to-cell mapping, J. Sound and Vibration, 1997, 202(3), 395-415.
4. Hsu, C. S. A probabilistic theory of non-linear systems based on the cell space concept. J. Applied Mechanics, 1982, 49, 895-902.
5. Aldemir, T., Utilization of the cell-to-cell mapping technique to construct Markov failure models for process control systems. In Probabilistic Safety Assessment and Management, vol. 2, (ed. G. Apostolokis), Elsevier Science Publishing Co., New York, 1991, pp. 1431-1436.
6. Tombuyses, B. & Devooght, J. Solving Markovian systems of O.D.E. for availability and reliability calculations. Reliab. Engng & System Safety, 1995, 48, 47-55.
7. Marseguerra, M., Nutini, M. & Zio, E. Approximate physical modelling in dynamic PSA using artificial neural networks. Reliab. Engng & System Safety, 1994, 45, 47-56.
8. Cafaro, G., Corsi, F. & Vacca, F. Multistate Markov models and structural properties of the transition rate matrix. IEEE Trans. Reliability, 1986, 35, 192-200.
9. Lesanovsky, A. Multistate Markov models for systems with dependent units. IEEE Trans. Reliability, 1988, 37, 505-511.
10. Devooght, J. & Tombuyses, B. The use of the component influence graph to reduce the size of Markovian availability problems. Reliab. Engng & System Safety, 1994, 46, 237-244.
11. Stoer, J. and Burlisch, R., Introduction to Numerical Analysis, Springer-Verlag, New York, 1980.
12. Gear, C. W., Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, N.J., 1971.