Accession Number:

ADA030647

Title:

Limit Theorems for Periodic Queues

Descriptive Note:

Technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF OPERATIONS RESEARCH

Personal Author(s):

• Harrison, J. M.
• Lemoine, Austin J.

Report Date:

1976-09-01

Pagination or Media Count:

20.0

Abstract:

Consider a single server queue with service times distributed as a general randow variable S and with nonstationary Poisson input. The asymptotic distributions associated with Z and W are shown to be related in various ways. In particular, we extend to the case of periodic Poisson input a well known formula due to Takacs relating the limiting virtual and actual waiting time distributions of a GIG1 queue.

Descriptors:

• *QUEUEING THEORY
• *THEOREMS
• PROBABILITY
• MARKOV PROCESSES
• POISSON EQUATION
• PERIODIC VARIATIONS
• RANDOM VARIABLES
• STOCHASTIC PROCESSES
• TIME

Subject Categories:

• Statistics and Probability
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE