ON THE QUESTION OF RELIABILITY OF STANDBY SCHEMES WITH CONSTANT CONNECTION OF EXTRA UNITS (K VOPROSU O NADEZHNOSTI SKHEM REZERVIROVANIYA S POSTOYANNYM VKLYUCHENIEM IZBYTOCHNYKH ELEMENTOV),
Abstract
The article considers the reliability of a system consisting of n series-parallel-connected identical elements when the characteristic system parameter S deviates beyond permissible limits as a result of failure of m elements (m < n). The system elements may fail due to a break or to a short-circuit; the faultless-operation time of each element has exponential distribution. The probability of failure of an element during delta T is: q = (lambda sub S + lambda sub O) delta T + O(T), where lambda sub S and lambda sub O are the failure intensities of short-circuit and break, respectively. Following the V. Feller methods, a system of linear differential equations is set up to describe the probability of the transition of a system containing 2 lines with m elements in each into a system containing either 2 lines with a lesser number of elements or one line. A particular case, when the system parameter S can be expressed in terms of the number of lines and elements, is also considered. Finally, the function of distribution of faultless-operation time is found.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 29, 1967
- Accession Number
- AD0674334
Entities
People
- A. M. Margulis
Organizations
- National Air and Space Intelligence Center