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In reality all input variables are stochastic, existing within a range of possible values.
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Simulation is preferred to deal with stochastic natures existing in the supply chain.
Due to the infinite-dimensionality of the initial conditions and of the stochastic dynamics, existing finite-dimensional results do not apply.
Although environmental loads induced by waves, wind, and ocean currents on marine vessels are naturally stochastic, all existing works on controlling these vehicles treat these loads as deterministic.
The uniform distribution over known finite ranges is assumed for mutually independent stochastic variables existing in the functions of system matrices.
Although environmental loads induced by waves, wind, and ocean currents on ocean vehicles are naturally stochastic, all existing works on controlling these vehicles treat the loads as deterministic.
Different from the existing stochastic strategy that keeps the forward velocity constant and controls only the angular velocity, we design a stochastic extremum seeking controller to regulate both forward and angular velocities simultaneously in this work.
The proposed model is examined on the IEEE 118-bus test system, and its benefits over the existing stochastic programming technique is examined.
More importantly, it also improves upon the existing stochastic chance-constrained programming for handing random uncertainties in the left-hand and right-hand sides of constraints simultaneously.
Indeed, in the context of value decisions, we show that network depolarization can amplify existing (stochastic) biases between neural populations (Fig. 2) and thereby lead to more random choice behaviour (Figs 4 and 5), which provides one of the first mechanistic proposals for how tDCS actually alters behaviour.
Quantification of the impacts of epistemic uncertainty is naturally difficult, because most of the existing stochastic tools rely on the specification of the probability distributions and thus do not readily apply to epistemic uncertainty.
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