Summary
In this note the general treatment of a complex system having two types of components of classR 1 havingm compoments and classR 2 havingn components, with exponential failure time distributions and general waiting & repair time distributions have been examinated. The Laplace transforms of the probabilities that the system is operating under normal efficiency, reduced efficiency, waiting to repair or is under repair state have been obtained. In particular case, these probabilities have been inverted for K-Erlangian distributions.
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References
KUMAR, S & MALHOTRA, N. K. (1967),Behaviour of a complex System having two types of components. Cahiers Centre d’Etudes de Recherche Operationelle Belgium, Vol. 9 No. 2;
MALHOTRA, N. K. (1967),Stochastic Behaviour of a Complex System having two types of components with general repair time distributions. Cahiers Centre d’Etudes de Recherche Operationelle Belgium, Vol. 9 No. 4.
MALHOTRA, N, K. (1968),Operational Readiness of a Complex System having two types of components, To appear in Trabajos de Estadística y de Investigación Operativa, Madrid, (Spain).
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Malhotra, N.K. Stochastic behaviour of a complex system with general waiting & repair time distributions. Trab. Estad. Invest. Oper. 20, 161–171 (1969). https://doi.org/10.1007/BF03028528
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DOI: https://doi.org/10.1007/BF03028528