#### Event Title

Optimal Resource Allocations for Maximum Reliability

#### Start Date

4-1969 8:00 AM

#### Description

The problem of designing multi-stage systems with a high degree of reliability has attracted the attention of engineers in recent years. This problem arises from the fact that the reliability of a multi-stage system is smaller than that of its components and becomes smaller and smaller with increasing number of stages. For example a series system with 100 stages each with a reliability of 0.99 would have a reliability of only 0.3631 (using the well known product rule). In order to obtain a higher reliability two possible avenues may be explored. The first would be the use of components of higher reliability. This, although desirable, is not always feasible. The second avenue is the use of redundant components at each stage, so that the stage would remain functional as long as at least one of the many redundant components is functional. Obviously the use of redundant components would consume scarce resources and an optimal allocation of these resources would be necessary to achieve maximal reliability.

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Optimal Resource Allocations for Maximum Reliability

The problem of designing multi-stage systems with a high degree of reliability has attracted the attention of engineers in recent years. This problem arises from the fact that the reliability of a multi-stage system is smaller than that of its components and becomes smaller and smaller with increasing number of stages. For example a series system with 100 stages each with a reliability of 0.99 would have a reliability of only 0.3631 (using the well known product rule). In order to obtain a higher reliability two possible avenues may be explored. The first would be the use of components of higher reliability. This, although desirable, is not always feasible. The second avenue is the use of redundant components at each stage, so that the stage would remain functional as long as at least one of the many redundant components is functional. Obviously the use of redundant components would consume scarce resources and an optimal allocation of these resources would be necessary to achieve maximal reliability.

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