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System Availability and Some Design Implications

Irwin W. Kabak
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Irwin W. Kabak: New York University, New York, New York, and MODELMETRICS, Inc., Edison, New Jersey

Operations Research, 1969, vol. 17, issue 5, 827-837

Abstract: This paper analyses in detail a system with an exponential reliability function and a constant repair time. It first presents the availability and its variance for a given number of cycles, a finite length of time, and a steady state. Then, it shows how the variance of the availability can be used to support an economic evaluation of start-up operations, presents some design criteria based on a total system cost model that includes a function of the availability (a down-time that is the complement of availability), gives optimal values of the mean time to failure and the mean repair time, and exhibits methods for a sensitivity analysis of these optimal values and of the total system. The paper concludes with a numerical example.

Date: 1969
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