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Since deterministic transitions are used in this paper and analytical models based on homogeneous continuous-time Markov chains (CTMC) do not allow non-exponential distributions, we utilize deterministic and stochastic Petri nets (DSPN), in which the underlying stochastic process is a Markov regenerative process (MRGP), to capture both exponential and deterministic distributions.
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Weibull, log-normal, exponential and deterministic distributions are considered for degradation, repair, random failure and periodic CM, respectively.
The proposed model is applicable for both exponential and non-exponential distributions.
Specifically, expression of alsSD was increased in a biofilm by comparison to both exponential and post-exponential planktonic growth [12].
Due to space limitations, we only present the results for the exponential and constant (deterministic) distributions.
For the sake of illustration, we derived two models, respectively with an exponential and a deterministic splicing/pausing time.
This paper presents a new design of boundary controllers for global practical K∞-exponential p-stabilization of vibration motions of extensible marine risers in three-dimensional (3D) space under both stochastic and deterministic sea loads.
The Newtonian conception is both complete and deterministic.
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They perform well under both probabilistic and deterministic non-stochastic settings [20,27,28,38,39].
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