Accession Number:

AD0600967

Title:

A PROBABILITY PROBLEM ARISING IN RELIABILITY AND TRAFFIC STUDIES.

Descriptive Note:

Corporate Author:

CARNEGIE INST OF TECH PITTSBURGH PA GRADUATE SCHOOL OF INDUSTRIAL ADMINISTRATION

Personal Author(s):

• Gaver,D. P. ,Jr.

Report Date:

1964-05-01

Pagination or Media Count:

19.0

Abstract:

A system is alternately operative and inoperative operative times and inoperative times are identically and independently distributed according to arbitrary distributions. Demands for system service occur at exponentially distributed time intervals, and persist for exponentially distributed times thereafter. The system disappointment time is discussed, where the latter is the time until either the system fails while a demand is being satisfied, or a demand occurs during an inoperative period. Approximations to the expected disappointment time and to the distribution of disappointment time are suggested. Numerical examples are given. Author

Descriptors:

• (*PROBABILITY
• RELIABILITY)
• (*TRAFFIC
• CONTROL SYSTEMS)
• CONTROL SYSTEMS
• RELIABILITY
• STATISTICAL FUNCTIONS
• INTEGRAL TRANSFORMS
• NUMERICAL ANALYSIS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE