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IEEE Transactions on Industrial Informatics, 2021
Hidden semi-Markov model (HSMM) has been widely used in equipment condition monitoring. However, the HSMM is usually modeled in fixed working mode. It is incompetent to monitor the condition when the working mode is varying in the equipment's lifetime ...
Tongshun Liu, K. Zhu
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Hidden semi-Markov model (HSMM) has been widely used in equipment condition monitoring. However, the HSMM is usually modeled in fixed working mode. It is incompetent to monitor the condition when the working mode is varying in the equipment's lifetime ...
Tongshun Liu, K. Zhu
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Continuity of Generalized Semi-Markov Processes
Mathematics of Operations Research, 1980It is shown that sequences of generalized semi-Markov processes converge in the sense of weak convergence of random functions if associated sequences of defining elements (initial distributions, transition functions and clock time distributions) converge.
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Observer-Based Control for Discrete-Time Hidden Semi-Markov Jump Systems
IEEE Transactions on Automatic Control, 2023In this note, the control problem for discrete-time hidden semi-Markov jump systems is investigated under the situation that the system modes are unavailable directly.
Hao Shen +4 more
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, 2021
With the expansion of modern plants and the growth of process complexities, industrial processes generally have multimodes, which are reflected in the multiple distributions and complex correlations among the process data.
Jie Dong, Chi Zhang, Kai-xiang Peng
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With the expansion of modern plants and the growth of process complexities, industrial processes generally have multimodes, which are reflected in the multiple distributions and complex correlations among the process data.
Jie Dong, Chi Zhang, Kai-xiang Peng
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2001
Let Q(x,A,t), x ∈ E, A ∈ e,t ∈ IR+, be a semi-Markov kernel on (E,e) and let (J n ,S n )n∈N and (J n ,X n )n∈N be, respectively, the associated MRP and the (J-X)-process (see Section 2.2).
N. Limnios, G. Oprişan
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Let Q(x,A,t), x ∈ E, A ∈ e,t ∈ IR+, be a semi-Markov kernel on (E,e) and let (J n ,S n )n∈N and (J n ,X n )n∈N be, respectively, the associated MRP and the (J-X)-process (see Section 2.2).
N. Limnios, G. Oprişan
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Regenerative generalized semi-markov processes
Communications in Statistics. Stochastic Models, 1987The authors deal with a generalized semi-Markov process, which permits formal specification of some non-Markovian simulation models.
Haas, Peter J., Shedler, Gerald S.
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On Integral of a Semi-Markov Diffusion Process
Journal of Mathematical Sciences, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SEMI-MARKOV DECISION PROCESSES
Probability in the Engineering and Informational Sciences, 2007Considered are semi-Markov decision processes (SMDPs) with finite state and action spaces. We study two criteria: the expected average reward per unit time subject to a sample path constraint on the average cost per unit time and the expected time-average variability.
M. Baykal-Gürsoy, K. Gürsoy
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Semi-Markov failure rates processes
Applied Mathematics and Computation, 2011Let \(\{\lambda(u):u\geq 0\}\) be a semi-Markov process defined by a Markov renewal kernel. The author studies the survival function \(R\) defined as the expectation of \(\exp \left(-\int_0^t\lambda(u)du\right)\), for \(t \geq 0\). Note that, \(R(t)\) is considered to be the reliability of an object with a random failure rate.
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