where ξ0 is the initial distribution, N is the essential transition probability matrix (i.e. the sub-stochastic matrix consisting of only the transient states of {Y i }) as defined in (2), I is a d×d identity matrix and 1=(1,1,…,1) is a 1×d row-vector.
The illustration of non-dominated solutions obtained in the simulation is shown in Figure 4. Figure 4a is the initial distribution, and the sensor distribution after running 10 generations is shown in Figure 4b, in which the coverage rate is 80.53% and the total mobile distance is 1192.
Figure 6a is the initial distribution of the PV with battery capacity 1.5 kWh, in which PV generation only provides energy for the user's loads from 6 00 to 9 00 and begins to charge the battery at 9 00 until the battery is fully charged at 12 00.
(4) Here x0 is the initial distribution of β in the population of uninfected cells, X0 is the total number of uninfected cells at the initial moment, and p 0, β) is the probability density function (pdf) of the initial distribution of.
For k ≥ 1, the stochastic matrix P k contains the k-step transition probabilities and, if p (0) is the initial distribution of X, the vector w (k ) = p (0) P k contains the state probabilities after k steps in the DTMC.
If the engineer's understanding is limited, the initial distribution will be misrepresentative of the actual distribution, and application of the method will likely fail.
Coupled neutronic/thermal-hydraulic analyses are defining the initial distribution of enrichment, control rod positions and the use of burnable poisons.
These modeling and field observations suggest that the temporal evolution of the contaminant flux distribution can be estimated if the initial distribution is known.
Let Φ = {π, A, Θ} be the whole parameter set of HMMs, where π is the initial state distribution, A is the transition probability matrix, and Θ is the set of GMMs for every state.
The key parameters in the model are the initial EUR distribution, as well as the exponential decay rates for EUR volatility and the likelihood of occurrence of discrete jumps.
