Abstract
Analytical relationships are given for quantitative assessment of the lower and upper bounds of reliability indicators for telecommunication objects of two classes: (a) objects with structural redundancy, in which the connection time of backup elements is so small that it can be almost neglected; (b) objects with structural and temporary redundancy, in which connection time is the final (usually random) quantity. The analysis of these relations allowed us to distinguish functionals characterizing the reliability of the objects under consideration, for which exact boundary values were determined. These results made it possible to obtain two-sided assessments of the reliability indicators of the objects of the above classes under conditions when the information on the distribution functions of the connection time of backup elements and the recovery time is limited by knowledge of only two initial moments. Also considered an important case for practice, in which, along with permanent refusals in the equipment of an object, failures may also occur. Analytical relationships have been obtained that allow one to calculate two-sided assessments of the reliability indicators of objects with structural and temporary redundancy, in which equipment failures are taken into account along with refusals.
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