MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC. IV. LAW OF THE ITERATED LOGARITHM.

reportActive / Technical Report | Accession Number: AD0698180 | Need Help?

Abstract:

The queueing system considered consist of r. independent arrival channels and s independent service channels. These systems are assumed to be in heavy traffic, that is, the traffic intensity is greater than or equal to 1. Functional laws of the iterated logarithm are obtained for the queue length, departure, load, and waiting time processes. As immediate corollaries, the ordinary laws of the iterated logarithm are obtained for these processes. Finally, as an application of the functional law of the iterated logarithm, a limit theorem is obtained for the fraction of time the queue length process is above a given function. Author

Author(s):
Iglehart, Donald L.
Author Organization(s):
STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH
Descriptive Note:
Technical rept.,
Supplementary Note:
See also AD-691 271.
Pagination:
0029

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-8
Contract/Grant Number(s):
N00014-67-A-0112-0031, NSF-GP-8790
Project Number(s):
NR-047-055
 Subject Terms
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
(*QUEUEING THEORY, STOCHASTIC PROCESSES), MEASURE THEORY, TOPOLOGY, SEQUENCES(MATHEMATICS), THEOREMS
Field(s)/Group(s):
Operations Research
Keyword(s):
FUNCTIONAL LAW OF THE ITERATED LOGARITHM, LAW OF THE ITERATED LOGARITHM, MULTIPLE CHANNEL QUEUES
Report Date:
1969 Nov 01