Accession Number:

ADA071885

Title:

Accuracy of an Information-Theoretic, Light-Load Approximation for the M/M/1 Busy Period Probability Density.

Descriptive Note:

Interim rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s):

• Shore,John E.

Report Date:

1979-07-11

Pagination or Media Count:

14.0

Abstract:

An exponential approximation for the MM1 busy period probability density is derived by entropy maximization and studied numerically. The approximation is accurate for light loads For load factors less than about .1, the approximation is accurate to within 10 in the range where the cumulative distribution function is as large as .95. Author

Descriptors:

• *QUEUEING THEORY
• *INFORMATION THEORY
• PROBABILITY DENSITY FUNCTIONS
• APPROXIMATION(MATHEMATICS)
• EXPONENTIAL FUNCTIONS
• ENTROPY

Subject Categories:

• Statistics and Probability
• Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE