... analysis (or stochastic optimization) can couple the generated random samples with the constructed unit operation and process production model. While the computational complexity of the coupled model will increase exponentially, resulting in large-scale strong nonlinear programming problems, and even...

.... , Cafaro , D. C. , and Grossmann , I. E. , “ Stochastic programming models for optimal shale well development and refracturing planning under uncertainty ,” AIChE J.   63 , 4799 – 4813 ( 2017 ). 10.1002/aic.15804 Ehlinger , V. M.  et al., “ Process design and integration...

... agree!” to 5 ∼ “strongly disagree.” Title (N-type of items) Phenomenological contexts Concept framework Main conceptual knots focused Niedderer ( Niedderer and Deylitz, 1998 ) level: High School H atom in stationary state and in absorption/emission processes Higher order atoms...

.../behavior) Measurement processes  (definition, superposition, collapse, evolution) Heisenberg uncertainty principle Measurement in QM as a process changing suddenly the state of a system in an irreversible way as a consequence of the intrinsic stochasticity (not an instrumental effect...

.../j.advengsoft.2009.12.008 Mohammed Ridha , H. , Gomes , C. , Hizam , H. , and Ahmadipour , M. , “ Optimal design of standalone photovoltaic system based on multi-objective particle swarm optimization: A case study of Malaysia ,” Processes   8 ( 1 ), 41 ( 2020 ). 10.3390/pr8010041...

...References References Agosin , E. , Blanchette , R. A. , Silva , H. , Lapierre , C. , Cease , K. R. , Ibach , R. E.   et al. , “ Characterization of Palo Podrido, a natural process of delignification in wood ,” Appl. Environ. Microbiol.   56 ( 1 ), 65 – 74 ( 1990...

... for hybrid modeling of lab-scale batch fermentation for β-carotene production using Saccharomyces cerevisiae ,” Chem. Eng. Res. Des.   179 , 415 – 423 ( 2022 ). 10.1016/j.cherd.2022.01.041 Bangi , M. S. F. and Kwon , J. S. , “ Deep hybrid modeling of chemical process...

... system reliability evaluation. Several methods have accordingly been proposed to evaluate the reliability of such systems, including the Markov process, Monte Carlo simulation, reliability block diagram, and fault tree analysis. Markov process The stochastic behavior of a PV system can be regarded...

... mobility, and ζ( r , t) is a random field uncorrelated in space and time added to mimic stochastic processes such as nucleation during first-order phase transition. Electrostatic equilibrium equation (Gauss's law of electrostatics): (6.84) − ϵ 0 ϵ b ∇ 2 ϕ ( r...

... as electrical energy is exchanged ( Mondol et al., 2009 ). Furthermore, in the process of integrating PV into the electricity system, policy-making like subsidy schemes (including self-consumption and feed-in tariffs ( Hartner et al., 2017 ) plays a critical role in improving the profitability...

...Shah, P., Bangi, M. S. F., and Kwon, J. S.-I., “Modeling, order-reduction, and controller design of hydraulic fracturing,” in Energy Systems and Processes: Recent Advances in Design and Control, edited by M. Li (AIP Publishing, Melville, New York, 2023), pp. 12-1–12-32. Introduction...

... walk along microtubules discretely with a fixed step size. In addition, during transport, those motors randomly detach from the microtubule and rebind to it. These features make the process a perfect case for applying discrete stochastic models. Indeed, this type of model has been widely used to tackle...

...Kim, J., Pahari, S., and Kwon, J. S.-I., “Modeling biomass degradation with multiscale kMC simulations,” in Energy Systems and Processes: Recent Advances in Design and Control, edited by M. Li (AIP Publishing, Melville, New York, 2023), pp. 11-1–11-28. Introduction At present, 80...

..., it is well known that solar energy production strongly depends on local weather and climate conditions. Thus, its inherently intermittent and stochastic characteristics of non-dispatchable solar energy can bring instability to the power system. These stability issues, due to the fluctuating features...

... to the functioning of the human brain. Its main assumption is that “the mind combines two or more mental spaces to make sense of linguistic input in new, emergent ways.” This process is called “blending.” From their analyses, they infer that difficulties of students in problem solving might not be due to missing...

... directly into electricity bypassing thermal processes ( Sharma and Chandel, 2013 ; and Siecker et al., 2017 ). The PV equipment structure has the advantages of being compact and simple in design, high specific power, convenient and reliable operation, and low maintenance cost. In addition...

... and data science rely on the concepts of statistical mechanics. Hinton (2007) , a forefather of AI, advocated a symmetrically connected network with a stochastic decision node, so called Boltzmann machine. According to this algorithm, the total input, z_i, is calculated where the sum...