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Summary:
The behaviour of an intermittently working system having three types of components has been investigated, incorporating the concepts of stand-by redundancy and reduced efficiency. A mathematical model has been formulated for exponential distributions considering failure, waiting and repair times. The Laplace Transforms of probabilisties corresponding to different states of the system have been obtained. Some particular cases have been discussed. In the end, a numerical example has been added to illustrate the method.
References:
[1] Aggarwal N. N.: Behaviour of a complex intermittent system with waiting time. J.R.N.S.S. (19, 3) 177-180, (1964).
[2] Erdelyi, et. al: 2 Tables of integral transforms. Bateman Manuscript project 1, Eqn. (21), pp. 232, (1954).
[3] Garg R. C.: Dependability of a complex system having two types of components. I.E.F.E. Transactions on Reliability R-12, (3) 11 - 16, (1963). DOI 10.1109/TR.1963.5218211
[4] Garg R. C., Kumar Santosh, Malhotra N. K.: On the behaviour of an intermittent working system with two types of components. Communicated for publication.
[5] Prakash Surya, Kumar Santosh, Garg R. C., Aggrawal S. P.: On the behaviour of an intermittent system with standby Redundancy. Trabajos de estadistica у de investigacion operativa, vol. XX, Nos 2 & 3, Madrid 1969.
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