Calcul exact de la disponibilité opérationnelle d'un système complexe
RAIRO - Operations Research - Recherche Opérationnelle, Volume 7 (1973) no. V1, p. 3-20
@article{RO_1973__7_1_3_0,
     author = {Marguin, Jean and Marguinaud, Andr\'e},
     title = {Calcul exact de la disponibilit\'e op\'erationnelle d'un syst\`eme complexe},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     publisher = {EDP-Sciences},
     volume = {7},
     number = {V1},
     year = {1973},
     pages = {3-20},
     zbl = {0267.90051},
     mrnumber = {351419},
     language = {fr},
     url = {http://www.numdam.org/item/RO_1973__7_1_3_0}
}
Marguin, Jean; Marguinaud, André. Calcul exact de la disponibilité opérationnelle d'un système complexe. RAIRO - Operations Research - Recherche Opérationnelle, Volume 7 (1973) no. V1, pp. 3-20. http://www.numdam.org/item/RO_1973__7_1_3_0/

[1] Barlow R. E. et Proschan F., Mathematical Theory of Reliability, John Wiley, 1965, 256 p. | MR 195566 | Zbl 0132.39302

[2] Shooman M. L., Probabilistic Reliability : an Engineering Approach, McGraw-Hill 1968, 448 p. | Zbl 0725.62089

[3] Gnedenko B. V., Mathematical Methods of Reliability Theory, Academic Press, 1969, 506 p. | MR 345234 | Zbl 0169.50501

[4] Mann N. R., Computer Aided Selection of Prior Distributions for generating Monte Carlo Confidence Bounds on System Reliability, Naval Research Logistic Quaterly, mars 1970, vol. 17 (1), pp. 41-54. | Zbl 0201.22503

[5] Doyon L. R. et Berssenbrugge M. W., Solving Complex Reliability Models by Computer, Raytheon Company, paper 17-1-17-13.

[6] Downs W. R., Predicting maintenance Time Distribution of a Complex System A Monte Carlo Solution, 10th Annual West Coast Reliability Symposium, Beverley Hills, California, 21 february 1969, pp. 37-47.

[7] Faragher W. E. et Watson H. S., Availability Analysis.A Realistic Methodology Proceedings of Tenth National Symposium on Reliability and Quality Control, 1964, pp. 365-378.

[8] Grace K., Approximate System Availability Models, Proceedings 1969 Annual Symposium on Reliability, pp. 146-152.

[9] Grace K., Repair Queuing Models for System Availability, Proceedings 1970 Annual Symposium on Reliability, pp. 331-336.

[10] Lee C.T H. et Dushman A., New Results in Effectiveness Prediction for Markovia Systems, Proceedings 1970 Annual Symposium on Reliability, pp. 410-419.

[11] Buzacott J. A., Markov Approach to Finding Failure Times of Repairable System, IEEE Transactions on Reliability, vol. R-19, n° 4, novembre 1970, pp. 128-134.

[12] Ferdinand A. E., A statistical Mechanical Approach to Systems Analysis, IBM Journal of R and D, vol. 14 (5), septembre 1970, pp. 539-547. | MR 272363 | Zbl 0212.51602

[13] Ferdinand A. E., A Statistical Mechanical Approach to Systems Analysis, IBM Report TR-21-348, 10 novembre 1969, 61 p.

[14] Ferdinand A. E., An Analysis of the Machine Interference Model, IBM Systems Journal, vol. 10 (2), 1971, pp. 129-142.

[15] Cox D. R., Renewal Theory, Methuen's Monographs, 1962, 142 p. | MR 153061 | Zbl 0103.11504

[16] Morse P. M., Queues, Inventory and Maintenance. John Wiley, 1958, 202 p. | MR 91216

[17] Mastascusa E. J., A Method for Calculating eAT Based on the Cayley-Hamilton Theorem,Proc. IEEE (Letters), vol. 57, juillet 1969, pp. 1328-1329.

[18] Liou M. L., Evaluation of the Transition Matrix. Proc. IEEE (Letters), vol. 55, février 1967, pp. 228-229.

[19] Vyidyasagar M., A Novel Method of Evaluating eAT in closed Form, IEEE Transactions on Automatic Control, vol. AC-15 (5), octobre 1970, pp. 600-601. | MR 275926

[20] Frazer R. A. et Duncan W. J., Elementary Matrices and Some Applications to Dynamics and Differential Equations,Cambridge University Press, 1960, p. 83. | MR 121367

[21] Varga R. S., Matrix iterative Analysis, Prentice Hall, 1963, pp. 16-22. | MR 158502 | Zbl 0133.08602

[22] Parodi M., La localisation des valeurs caractéristiques des matrices et ses applications, Gauthier-Villars, 1959, 172 p. | MR 110719 | Zbl 0087.01602