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Closed form solution for the distribution of the total time spent in a subset of states of a homogeneous Markov process during a finite observation period

Bruno Sericola
- 01 Sep 1990 - 
- Vol. 27, Iss: 3, pp 713-719
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This article is published in Journal of Applied Probability.The article was published on 1990-09-01 and is currently open access. It has received 36 citations till now. The article focuses on the topics: Phase-type distribution & Markov process.

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Journal ArticleDOI

On Balancing Energy Consumption in Wireless Sensor Networks

TL;DR: It is shown that sending the traffic generated by each sensor node through multiple paths, instead of a single path, allows significant energy conservation.
Journal ArticleDOI

Continuous Monitoring Using Event-Driven Reporting for Cluster-Based Wireless Sensor Networks

TL;DR: It is proved that significant energy conservation can be achieved using the reporting approach, and two new mechanisms that enable energy conservation in continuous-monitoring WSNs are proposed.
Journal ArticleDOI

Occupation Times in Markov Processes

Bruno Sericola
- 01 Jan 2000 - 
TL;DR: In this article, the authors considered the occupation times of a homogeneous finite state Markov process, i.e., the times spent by the process in given subsets of the state space during a finite interval of time.
Journal ArticleDOI

Dependability analysis of systems modeled by non-homogeneous Markov chains

TL;DR: In this article, the reliability and performability measures adapted to nonhomogeneous Markov systems in discrete time are formulated, such as reliability, availability, maintainability and different time variables including new indicators more dedicated to electrical systems.
Book

Markov Chains and Dependability Theory

TL;DR: 1.1.
References
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Stochastic Processes

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Performability analysis using semi-Markov reward processes

TL;DR: Two extensions of Beaudry's approach are presented, which generalize the method to a semi-Markov reward process by removing the restriction requiring the association of zero reward to absorbing states only and to the elimination of fast transient states in a decomposition approach to stiff Markov chains.
Journal ArticleDOI

Calculating Cumulative Operational Time Distributions of Repairable Computer Systems

TL;DR: The distribution of cumulative operational time is calculated, which is the distribution of the total time during which the system was in operation over a finite observation period, based on the randomization technique.