The Renewal Equation for Markov Renewal Processes with Applications to Storage Models.

reportActive / Technical Report | Accession Number: ADA172688 | Open PDF

Abstract:

For Markov renewal process in which the sojourn times are controlled by an imbedded, denumerable state Markov chain, it is shown that there exist a random time at which the Markov renewal process regenerates. The basic renewal theorem is applied to determine the limiting behavior of the Markov renewal process. These results are then applied to a particular two compartment storage model to determine the limiting behavior of the amounts in storage. Keywords Markov Renewal Process Semi-Markov Process Renewal Equation Coupling Storage Model.

Author(s):
Tollar, Eric S.
Author Organization(s):
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
Descriptive Note:
Technical rept.,
Supplementary Note:
DOI: 10.21236/ADA172688
Pagination:
0038

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
FSU-TR-M-731, ARO-23699.5-MA
Contract/Grant Number(s):
DAAL03-86-K-0094
Monitor Series:
23699.5-MA, D-90
 Subject Terms
Joint Capability Areas:
JCA_3.2_Engagement; JCA_3_Force Application; JCA_1.2_Force Preparation; JCA_1_Force Support
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*MARKOV PROCESSES, MATHEMATICAL MODELS, STORAGE, THEOREMS
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
Renewal equations, Coupling, SemiMarkov processes, Storage models, Markov renewal process
Report Date:
1986 May 01