ON THE FACTORIAL MOMENTS OF THE NUMBER OF BUSY SERVERS IN THE QUEUE GI/G/INFINITY.

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Abstract:

In the report the stochastic process representing the number of busy servers in the queue GIGinfinity is discussed. In particular, an expression that relates successive factorial moments of the process is derived. This expression leads to an integral equation on the probability generating function of the process and the long run solution for the expected number of busy servers. Author

Author(s):
Bradley, Edwin L., Jr
Author Organization(s):
FLORIDA UNIV GAINESVILLE DEPT OF INDUSTRIAL AND SYSTEMS ENGINEERING
Descriptive Note:
Technical rept.,
Pagination:
0016

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
THEMIS-UF-TR-32
Contract/Grant Number(s):
DAHC04-68-C-0002
Project Number(s):
DA-2-T-014501-B-81-B
 Subject Terms
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
(*QUEUEING THEORY, STOCHASTIC PROCESSES), DISTRIBUTION FUNCTIONS, PROBABILITY
Field(s)/Group(s):
Operations Research
Keyword(s):
THEMIS PROJECT
Report Date:
1969 Dec 01