Accession Number:

ADA056025

Title:

Further Results on the M/M/l Queue with Randomly Varying Rates.

Descriptive Note:

Interim rept.,

Corporate Author:

DELAWARE UNIV NEWARK DEPT OF STATISTICS AND COMPUTER SCIENCE

Personal Author(s):

• Neuts,Marcel F.

Report Date:

1978-01-01

Pagination or Media Count:

24.0

Abstract:

This paper demonstrates that the MMc queue, with arrival and service rates which vary according to the state of a Markov process, has a steady-state probability vector of a modified matrix-geometric form. The rate matrix R is the unique positive solution to a quadratic matrix equation, which may be solved numerically by successive substitutions. A theorem which provides an accuracy check on that computation is proved. Finally a numerical example is discussed and its results are interpreted.

Descriptors:

• *QUEUEING THEORY
• COMPUTATIONS
• MATRICES(MATHEMATICS)
• PROBABILITY
• DELAY
• NUMERICAL METHODS AND PROCEDURES
• ARRIVAL
• MARKOV PROCESSES

Subject Categories:

• Statistics and Probability
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE