Bounds on the availability function
By: by Richard W. Butterworth
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1971
Place of publication: Monterey, California
Language: eng
Number of pages: 20
Subjects: Mathematical models; Distribution (Probability theory); Reliability (Engineering)
Description: The report deals with the problem of computing the availability function for an alternating renewal process with exponential failure times and general repair times. General expressions giving upper and lower bounds on the availability are derived, as well as an estimate of the error. Several of the bounds with greatest practical consequence are worked out and illustrated for a gamma repair distribution with any integer shape parameter. The case of constant repair is compared to the case of gamma repair with a large shape parameter. Finally, some simulation results using a log normal repair distribution are compared to the gamma results, suggesting that a gamma distribution can be used in lieu of a log normal for purposes of computing the availability function. (Author)
Notes: Title from cover.

"June 1971"--Cover.

"NPS-55BD71061A"--Cover.

DTIC Identifiers: Renewell processes.

Author(s) key words: Reliability, availability, alternating renewal process.

Includes bibliographical references (p. 16).

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1971.