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Partially observable semi-Markov reward processes

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

Yasushi Masuda
Yasushi Masuda*
Affiliation:
University of California, Riverside
*
∗ Postal address: Graduate School of Management, University of California, Riverside, CA 92521, USA.
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Abstract

The main objective of this paper is to investigate the conditional behavior of the multivariate reward process given the number of certain signals where the underlying system is described by a semi-Markov process and the signal is defined by a counting process. To this end, we study the joint behavior of the multivariate reward process and the multivariate counting process in detail. We derive transform results as well as the corresponding real domain expressions, thus providing clear probabilistic interpretation.

Keywords

COUNTING PROCESSMULTIVARIATE PROCESS

MSC classification

Primary: 60K20: Applications of Markov renewal processes (reliability, queueing networks, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Research Papers
Information
Journal of Applied Probability , Volume 30 , Issue 3 , September 1993 , pp. 548 - 560
Copyright
Copyright © Applied Probability Trust 1993 

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