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1

del Prete, Antonio, Teresa Primo, and Antonio A. De Vitis. "Non Deterministic Approach in Metal Forming Springback Simulation." Key Engineering Materials 344 (July 2007): 399–410. http://dx.doi.org/10.4028/www.scientific.net/kem.344.399.

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An uncertain approach has been evaluated to analyze the finite element analysis responses for the springback evaluation on a stamped part. In the Metal Forming and Springback simulations a deterministic approach does not take in account uncertain physical variations related to material characteristics, friction conditions, tools active surfaces status, etc. Then, if one of the purposes of the process design it is its reliability, a CAE study in aleatory conditions is the only way to evaluate the process robustness. A study case has been defined and the explicit simulation was performed for the forming stage while, the implicit simulation was performed for the springback phase. Subsequently, a stochastic problem was solved to found the aleatory influence of process parameters such as: anisotropy coefficient, Young modulus and friction between blank and tools to evaluate their effect on the component springback. The evaluation of finite element models in uncertain conditions can be considered like a CAE usage in order to obtain a “Robust Design” for the examinated problem.
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HWANG, GWAN-HWAN, KUO-CHUNG TAI, and TING-LU HUANG. "REACHABILITY TESTING: AN APPROACH TO TESTING CONCURRENT SOFTWARE." International Journal of Software Engineering and Knowledge Engineering 05, no. 04 (December 1995): 493–510. http://dx.doi.org/10.1142/s0218194095000241.

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Concurrent programs are more difficult to test than sequential programs because of non-deterministic behavior. An execution of a concurrent program non-deterministically exercises a sequence of synchronization events called a synchronization sequence (or SYN-sequence). Non-deterministic testing of a concurrent program P is to execute P with a given input many times in order to exercise distinct SYN-sequences. In this paper, we present a new testing approach called reachability testing. If every execution of P with input X terminates, reachability testing of P with input X derives and executes all possible SYN-sequences of P with input X. We show how to perform reachability testing of concurrent programs using read and write operations. Also, we present results of empirical studies comparing reachability and non-deterministic testing. Our results indicate that reachability testing has advantages over non-deterministic testing.
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3

Jebur, Hawraa Qasim, and Salah R. Al-Zaidee. "Non-deterministic Approach for Reliability Evaluation of Steel Beam." Journal of Engineering 26, no. 1 (December 25, 2019): 121–41. http://dx.doi.org/10.31026/j.eng.2020.01.10.

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This paper aims to evaluate the reliability analysis for steel beam which represented by the probability of Failure and reliability index. Monte Carlo Simulation Method (MCSM) and First Order Reliability Method (FORM) will be used to achieve this issue. These methods need two samples for each behavior that want to study; the first sample for resistance (carrying capacity R), and second for load effect (Q) which are parameters for a limit state function. Monte Carlo method has been adopted to generate these samples dependent on the randomness and uncertainties in variables. The variables that consider are beam cross-section dimensions, material property, beam length, yield stress, and applied loads. Matlab software has been adopted to generate these pseudo-random variables dependent on its statistical characteristics such as coefficient of variance and probability density function that gathered from a review of literatures.
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4

FU, YUXI. "Non-deterministic structures of computation." Mathematical Structures in Computer Science 25, no. 6 (November 10, 2014): 1295–338. http://dx.doi.org/10.1017/s0960129514000012.

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Divergence and non-determinism play a fundamental role in the theory of computation, and their combined effect on computational equality deserves further study. By looking at the issue from the point of view of both computation and interaction, we are led to a canonical equality for non-deterministic computation, revealing its rich algebraic structure. We study this structure in three ways. First, we construct a complete equational system for finite-state non-deterministic computation. The challenge with such a system is to find an equational alternative to fixpoint inductionà laMilner. We establish a negative result in the form of the non-existence of a finite equational system for the canonical equality of non-deterministic computation to support our approach. We then investigate infinite-state non-deterministic computation in the light of definability and show that every recursively enumerable set is generated by an unobservable process. Finally, we prove that, as far as computation is concerned, the effect produced jointly by divergence and non-determinism is model independent for a large class of process models.We use C-graphs, which are interesting in their own right, as abstract representations of the computational objects throughout the paper.
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Banerjee, Archi, Shankha Sanyal, Souparno Roy, Sayan Nag, Ranjan Sengupta, and Dipak Ghosh. "A novel study on perception–cognition scenario in music using deterministic and non-deterministic approach." Physica A: Statistical Mechanics and its Applications 567 (April 2021): 125682. http://dx.doi.org/10.1016/j.physa.2020.125682.

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PINTO, JAVIER, AMÍLCAR SERNADAS, CRISTINA SERNADAS, and PAULO MATEUS. "NON-DETERMINISM AND UNCERTAINTY IN THE SITUATION CALCULUS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 08, no. 02 (April 2000): 127–49. http://dx.doi.org/10.1142/s0218488500000101.

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The purpose of this article is to extend the situation calculus, a logical framework for the specification of theories of action and change, with actions that have a non-deterministic or uncertain nature. Our approach is based upon the idea that actions may have a deterministic component, and a probabilistic component. For example, the act of flipping a coin has a deterministic component (the actual coin toss) and an uncertain component (the outcome). We extend the language of the situation calculus in order to make explicit this distinction between these two action components. Furthermore, we provide means to reason about the outcomes of processes specified only in terms of deterministic action components (which we call behaviors). In particular, we show how one can compute the probability that some fluent will hold after specific behavior is realized. An important feature of our approach is that the syntactic and semantic structure of actions and situations is independent of the decomposition of actions into deterministic and uncertain components. Thus, we inherit solutions to the frame problem ramification problem, etc.
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7

Granado-Lorencio, Carlos. "Fish communities of Spanish reservoir systems: A non-deterministic approach." SIL Proceedings, 1922-2010 24, no. 4 (September 1991): 2428–31. http://dx.doi.org/10.1080/03680770.1989.11899980.

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8

Bouatouch, Kadi, S. N. Pattanaik, and Eric Zeghers. "Computation of Higher Order Illumination with a Non-Deterministic Approach." Computer Graphics Forum 15, no. 3 (August 1996): 327–37. http://dx.doi.org/10.1111/1467-8659.1530327.

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9

Baranoski, Gladimir V. G., and Jon G. Rokne. "A non-deterministic reconstruction approach for isotropic reflectances and transmittances." Journal of Visualization and Computer Animation 10, no. 4 (October 1999): 225–31. http://dx.doi.org/10.1002/(sici)1099-1778(199910/12)10:4<225::aid-vis208>3.0.co;2-y.

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10

Jebur, Hawraa Qasim, and Salah Rohaima Al-Zaidee. "Non-deterministic Approach for Reliability Evaluation of Steel Portal Frame." Civil Engineering Journal 5, no. 8 (August 21, 2019): 1684–97. http://dx.doi.org/10.28991/cej-2019-03091363.

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In recent years, more researches on structural reliability theory and methods have been carried out. In this study, a portal steel frame is considered. The reliability analysis for the frame is represented by the probability of failure, P_f, and the reliability index, β, that can be predicted based on the failure of the girders and columns. The probability of failure can be estimated dependent on the probability density function of two random variables, namely Capacity R, and Demand Q. The Monte Carlo simulation approach has been employed to consider the uncertainty the parameters of R, and Q. Matlab functions have been adopted to generate pseudo-random number for considered parameters. Although the Monte Carlo method is active and is widely used in reliability research, it has a disadvantage which represented by the requirement of large sample sizes to estimate the small probabilities of failure. This is leading to computational cost and time. Therefore, an Approximated Monte Carlo simulation method has been adopted for this issue. In this study, four performances have been considered include the serviceability deflection limit state, ultimate limit state for girder, ultimate limit state for the columns, and elastic stability. As the portal frame is a statically indeterminate structure, therefore bending moments, and axial forces cannot be determined based on static alone. A finite element parametric model has been prepared using Abaqus to deal with this aspect. The statistical analysis for the results samples show that all response data have lognormal distribution except of elastic critical buckling load which has a normal distribution.
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Gupta, Richa, and Priti Sehgal. "Non-deterministic approach to allay replay attack on iris biometric." Pattern Analysis and Applications 22, no. 2 (January 20, 2018): 717–29. http://dx.doi.org/10.1007/s10044-018-0681-8.

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12

Nilles, Alexandra Q., Yingying Ren, Israel Becerra, and Steven M. LaValle. "A visibility-based approach to computing non-deterministic bouncing strategies." International Journal of Robotics Research 40, no. 10-11 (February 14, 2021): 1196–211. http://dx.doi.org/10.1177/0278364921992788.

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Inspired by motion patterns of some commercially available mobile robots, we investigate the power of robots that move forward in straight lines until colliding with an environment boundary, at which point they can rotate in place and move forward again; we visualize this as the robot “bouncing” off boundaries. We define bounce rules governing how the robot should reorient after reaching a boundary, such as reorienting relative to its heading prior to collision, or relative to the normal of the boundary. We then generate plans as sequences of rules, using the bounce visibility graph generated from a polygonal environment definition, while assuming we have unavoidable non-determinism in our actuation. Our planner can be queried to determine the feasibility of tasks such as reaching goal sets and patrolling (repeatedly visiting a sequence of goals). If the task is found feasible, the planner provides a sequence of non-deterministic interaction rules, which also provide information on how precisely the robot must execute the plan to succeed. We also show how to compute stable cyclic trajectories and use these to limit uncertainty in the robot’s position.
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13

Carlone, Pierpaolo, and Gaetano S. Palazzo. "A Multi-Scale Non-Deterministic Approach to Composite Curing Process Simulation." Advanced Materials Research 750-752 (August 2013): 11–15. http://dx.doi.org/10.4028/www.scientific.net/amr.750-752.11.

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Thermosetting matrix composite materials are often subject to a curing process to enhance the mechanical properties of the final product. In recent years computational models of the curing process allowed for a remarkable time and cost compression with respect to trial and error procedures. Most of the proposed models, however, rely on deterministic hypothesis. In this paper a multi-scale non deterministic approach to cure process simulation has been proposed, evidencing the effect of stochastic perturbations of fibers distribution on simulative results on macro-scale.
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Buehner, Mark, and Dominik Jacques. "Non-Gaussian Deterministic Assimilation of Radar-Derived Precipitation Accumulations." Monthly Weather Review 148, no. 2 (January 27, 2020): 783–808. http://dx.doi.org/10.1175/mwr-d-19-0199.1.

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Abstract Data assimilation (DA) approaches currently used for operational numerical weather prediction (NWP) generally assume that errors in the background state are Gaussian. At the same time, approaches that make no assumptions regarding the background state probability distribution are gaining attention in research. Most such approaches, including the particle filter, are ensemble DA methods that produce an ensemble of analysis states consistent with the background and observation distributions. The present study instead proposes a non-Gaussian deterministic (NGD) DA method for producing a single deterministic analysis state. Consequently, the usual challenge of maintaining an ensemble with sufficient spread and diversity is avoided. The NGD approach uses background ensembles generated by a standard ensemble Kalman filter. A series of noncycled DA experiments is conducted to evaluate the NGD approach for assimilating precipitation derived from North American weather radars to initialize limited-area deterministic forecasts. The resulting forecasts are compared with those produced using either a local ensemble transform Kalman filter (LETKF) deterministic analysis or latent heat nudging (LHN). The experimental results indicate that, for forecast lead times beyond 1.5 h, the NGD approach improves precipitation forecasts relative to LHN. The NGD approach also leads to better temperature and zonal wind forecasts at lead times up to 12 h when compared to those obtained with either LHN or the LETKF. For precipitation, the NGD and LETKF approaches produce forecasts that are of comparable quality. Finally, simple strategies are demonstrated that combine the NGD approach for assimilating radar-derived precipitation accumulations with the ensemble–variational approach for assimilating all other observations.
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15

BOTTONI, PAOLO, DANIELE GORLA, STEFANO KASANGIAN, and ANNA LABELLA. "A doctrinal approach to modal/temporal Heyting logic and non-determinism in processes." Mathematical Structures in Computer Science 28, no. 4 (February 27, 2017): 508–32. http://dx.doi.org/10.1017/s0960129517000019.

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The study of algebraic modelling of labelled non-deterministic concurrent processes leads us to consider a category LB, obtained from a complete meet-semilattice B and from B-valued equivalence relations. We prove that, if B has enough properties, then LB presents a two-fold internal logical structure, induced by two doctrines definable on it: one related to its families of subobjects and one to its families of regular subobjects. The first doctrine is Heyting and makes LB a Heyting category, the second one is Boolean. We will see that the difference between these two logical structures, namely the different behaviour of the negation operator, can be interpreted in terms of a distinction between non-deterministic and deterministic behaviours of agents able to perform computations in the context of the same process. Moreover, the sorted first-order logic naturally associated with LB can be extended to a modal/temporal logic, again using the doctrinal setting. Relations are also drawn to other computational models.
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KIMURA, NOBUO, KIYOSHI AMAGAI, and MASATO HAMAGUCHI. "Non-deterministic approach for the movement of the small fishing vessels." Fisheries science 68, sup2 (2002): 1823–26. http://dx.doi.org/10.2331/fishsci.68.sup2_1823.

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17

Lamrhari, M. "Vibration with non-linear damping. stochastic approach." MATEC Web of Conferences 286 (2019): 01005. http://dx.doi.org/10.1051/matecconf/201928601005.

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This paper describes a stochastic approach to the vibration behavior of a nonlinear damping structure. The deterministic approach is based on motion equations including the non-linearity of damping. For the stochastic calculation, the deviations were assigned to the input parameters of the mathematical model. The probabilistic distribution of these parameters must reflect real operational situations. Numerical simulations were performed with MATLAB using the Monte Carlo and perturbation method. The resulting curves for the parameters studied can find a practical application in the optimization of rotating machines (washing machine), where the parameters of mass, position of the center of gravity, etc. change during operation.
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18

Cerutti, S., S. Guzzetti, R. Parola, and M. G. Signorini. "Non-Linear Dynamics of Cardiovascular Variability Signals." Methods of Information in Medicine 33, no. 01 (1994): 81–84. http://dx.doi.org/10.1055/s-0038-1634981.

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Abstract:Long-term regulation of beat-to-beat variability involves several different kinds of controls. A linear approach performed by parametric models enhances the short-term regulation of the autonomic nervous system. Some non-linear long-term regulation can be assessed by the chaotic deterministic approach applied to the beat-to-beat variability of the discrete RR-interval series, extracted from the ECG. For chaotic deterministic systems, trajectories of the state vector describe a strange attractor characterized by a fractal of dimension D. Signals are supposed to be generated by a deterministic and finite dimensional but non-linear dynamic system with trajectories in a multi-dimensional space-state. We estimated the fractal dimension through the Grassberger and Procaccia algorithm and Self-Similarity approaches of the 24-h heart-rate variability (HRV) signal in different physiological and pathological conditions such as severe heart failure, or after heart transplantation. State-space representations through Return Maps are also obtained. Differences between physiological and pathological cases have been assessed and generally a decrease in the system complexity is correlated to pathological conditions.
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19

Rifai, Wafda, and Edi Winarko. "Modification of Stemming Algorithm Using A Non Deterministic Approach To Indonesian Text." IJCCS (Indonesian Journal of Computing and Cybernetics Systems) 13, no. 4 (October 31, 2019): 379. http://dx.doi.org/10.22146/ijccs.49072.

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Natural Language Processing is part of Artificial Intelegence that focus on language processing. One of stage in Natural Language Processing is Preprocessing. Preprocessing is the stage to prepare data before it is processed. There are many types of proccess in preprocessing, one of them is stemming. Stemming is process to find the root word from regular word. Errors when determining root words can cause misinformation. In addition, stemming process does not always produce one root word because there are several words in Indonesian that have two possibilities as root word or affixes word, e.g.the word “beruang”.To handle these problems, this study proposes a stemmer with more accurate word results by employing a non deterministic algorithm which gives more than one word candidate result. All rules are checked and the word results are kept in a candidate list. In case there are several word candidates were found, then one result will be chosen.This stemmer has been tested to 15.934 word and results in an accurate level of 93%. Therefore the stemmer can be used to detect words with more than one root word.
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Yagi, Junichi, Eiji Arai, Keiichi Shirase, and Shinji Matsumoto. "Action-based union of the temporal opposites in scheduling: non-deterministic approach." Automation in Construction 12, no. 3 (May 2003): 321–29. http://dx.doi.org/10.1016/s0926-5805(02)00107-3.

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21

Hampton, R. D., C. R. Knospe, and M. A. Townsend. "Extension and Simplification of Salukvadze’s Solution to the Deterministic Nonhomogeneous LQR Problem." Journal of Dynamic Systems, Measurement, and Control 123, no. 1 (October 22, 1998): 146–49. http://dx.doi.org/10.1115/1.1344242.

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In a previous paper (Hampton, R. D., et al., 1996, “A Practical Solution to the Deterministic Nonhomogeneous LQR Problem,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 118, pp. 354–360.) the authors presented a solution to the nonhomogeneous linear-quadratic-regulator (LQR) problem, for the case of known, deterministic, persistent (“non-dwindling”) disturbances. The authors used variational calculus and state-transition-matrix methods to produce an optimal matric solution, for bounded determinist forcing terms. A restricted version of this problem (treating dwindling disturbances) was evidently first investigated by Salukvadze, M. E., 1962, “Analytic Design of Regulators (Constant Disturbance),” Automation and Remote Control, Vol. 22, No. 10, Mar., pp. 1147–1155, using a differential-equations approach. The present paper uses Salukvadze’s approach to extend his work to the case of non-dwindling disturbances, with cross-weightings between state- and control vectors, and pursues the solution to the same form reported previously in Hampton et al.
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Akhtar, Sajjad. "Is There Seasonality in Pakistan’s Merchandise Exports and Imports? The Univariate Modelling Approach." Pakistan Development Review 42, no. 1 (March 1, 2003): 59–75. http://dx.doi.org/10.30541/v42i1pp.59-75.

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This paper investigates the existence of seasonal patterns in the quarterly merchandise export and import data of Pakistan from 1982:1 to 2002:1. Unit root tests are applied to determine whether the seasonal component in each variable exhibits stochastic non-stationarity. Deterministic and stochastic effects are isolated and quantified. Few alternate DGP specifications are identified, fitted and tested for their outof- sample forecasting performance. A tentative finding is that deterministic effects are relatively more important than stochastic ones. However, integrated models, i.e., ARIMA, mixed ARIMA, and ARIMA-GARCH, outperform deterministic models with respect to forecasting.
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Yugendar, Poojari, and K. V. R. Ravishankar. "Analysis of Crowd Flow Parameters Using Artificial Neural Network." Transport and Telecommunication Journal 19, no. 4 (December 1, 2018): 335–45. http://dx.doi.org/10.2478/ttj-2018-0028.

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Abstract Research scientists have been developing mathematical tools to detect objects, recognize objects and actions, and discover behaviours and events to human abilities. In all these efforts, the understanding of human actions is of a special interest for both application and research purposes. In this study, crowd flow parameters are analysed by considering linear and non linear relationships between stream flow parameters using conventional and soft computing approach. Deterministics models like Greenshield and Underwood were applied in the study to describe flow characteristics. A non-linear model based on Artificial Neural Network (ANN) approach is also used to build a relationship between different crowd flow parameters and compared with the other deterministic models. ANN model gave good results based on accuracy measurement to deterministic models because of their self-processing and intelligent behaviour. Mean absolute error (MAE) and root mean square error (RMSE) values for the best fitted ANN model are less than those for the other models. ANN model gives better performance in fitness of model and future prediction of flow parameters.
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Leitnaker, Mary G., and Peter Purdue. "Compartmental models with transfer delays: a semi-Markov approach." Journal of Applied Probability 22, no. 3 (September 1985): 570–82. http://dx.doi.org/10.2307/3213861.

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Compartmental models for which transfer from one compartment to another takes a non-negligible time have been studied in the deterministic case. These models rely on the use of differential equations with delayed arguments. In this paper we show how the well-known structure of the semi-Markov process can be used to analyse stochastic compartmental models with transfer delays. Evaluation of the limiting behavior is much simpler in the stochastic model than in previous deterministic formulations. In addition, time-dependent behavior can be analysed using numerical quadrature methods.
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Leitnaker, Mary G., and Peter Purdue. "Compartmental models with transfer delays: a semi-Markov approach." Journal of Applied Probability 22, no. 03 (September 1985): 570–82. http://dx.doi.org/10.1017/s0021900200029338.

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Compartmental models for which transfer from one compartment to another takes a non-negligible time have been studied in the deterministic case. These models rely on the use of differential equations with delayed arguments. In this paper we show how the well-known structure of the semi-Markov process can be used to analyse stochastic compartmental models with transfer delays. Evaluation of the limiting behavior is much simpler in the stochastic model than in previous deterministic formulations. In addition, time-dependent behavior can be analysed using numerical quadrature methods.
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LIVERANI, CARLANGELO, BENOÎT SAUSSOL, and SANDRO VAIENTI. "A probabilistic approach to intermittency." Ergodic Theory and Dynamical Systems 19, no. 3 (June 1999): 671–85. http://dx.doi.org/10.1017/s0143385799133856.

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We present an original approach which allows us to investigate the statistical properties of a non-uniformly hyperbolic map on the interval. Based on a stochastic approximation of the deterministic map, this method essentially gives the optimal polynomial bound for the decay of correlations, the degree depending on the order of the tangency at the neutral fixed point.
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Mohammed, Maha A., N. F. M. Noor, A. I. N. Ibrahim, and Z. Siri. "A non-conventional hybrid numerical approach with multi-dimensional random sampling for cocaine abuse in Spain." International Journal of Biomathematics 11, no. 08 (November 2018): 1850110. http://dx.doi.org/10.1142/s1793524518501103.

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This paper introduces a non-conventional approach with multi-dimensional random sampling to solve a cocaine abuse model with statistical probability. The mean Latin hypercube finite difference (MLHFD) method is proposed for the first time via hybrid integration of the classical numerical finite difference (FD) formula with Latin hypercube sampling (LHS) technique to create a random distribution for the model parameters which are dependent on time [Formula: see text]. The LHS technique gives advantage to MLHFD method to produce fast variation of the parameters’ values via number of multidimensional simulations (100, 1000 and 5000). The generated Latin hypercube sample which is random or non-deterministic in nature is further integrated with the FD method to complete one cycle of LHS-FD simulation iteration. This process is repeated until [Formula: see text] final iterations of LHS-FD are obtained. The means of these [Formula: see text] final solutions (MLHFD solutions) are tabulated, graphed and analyzed. The numerical simulation results of MLHFD for the SEIR model are presented side-by-side with deterministic solutions obtained from the classical FD scheme and homotopy analysis method with Pade approximation (HAM-Pade). The present MLHFD results are also compared with the previous non-deterministic statistical estimations from 1995 to 2015. Good agreement between the two is perceived with small errors. MLHFD method can be used to predict future behavior, range and prediction interval for the epidemic model solutions. The expected profiles of the cocaine abuse subpopulations are projected until the year 2045. Both the statistical estimations and the deterministic results of FD and HAM-Pade are found to be within the MLHFD prediction intervals for all the years and for all the subpopulations considered.
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Gonçalves, Elis, Antonio Roberto Balbo, Diego Nunes da Silva, Leonardo Nepomuceno, Edméa Cássia Baptista, and Edilaine Martins Soler. "Deterministic approach for solving multi-objective non-smooth Environmental and Economic dispatch problem." International Journal of Electrical Power & Energy Systems 104 (January 2019): 880–97. http://dx.doi.org/10.1016/j.ijepes.2018.07.056.

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Brankart, J. M., G. Candille, F. Garnier, C. Calone, A. Melet, P. A. Bouttier, P. Brasseur, and J. Verron. "A generic approach to explicit simulation of uncertainty in the NEMO ocean model." Geoscientific Model Development 8, no. 5 (May 4, 2015): 1285–97. http://dx.doi.org/10.5194/gmd-8-1285-2015.

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Abstract. In this paper, a generic implementation approach is presented, with the aim of transforming a deterministic ocean model (like NEMO) into a probabilistic model. With this approach, several kinds of stochastic parameterizations are implemented to simulate the non-deterministic effect of unresolved processes, unresolved scales and unresolved diversity. The method is illustrated with three applications, showing that uncertainties can produce a major effect in the circulation model, in the ecosystem model, and in the sea ice model. These examples show that uncertainties can produce an important effect in the simulations, strongly modifying the dynamical behaviour of these three components of ocean systems.
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Morais, Hugo, Tiago Sousa, Rui Castro, and Zita Vale. "Multi-Objective Electric Vehicles Scheduling Using Elitist Non-Dominated Sorting Genetic Algorithm." Applied Sciences 10, no. 22 (November 10, 2020): 7978. http://dx.doi.org/10.3390/app10227978.

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The introduction of electric vehicles (EVs) will have an important impact on global power systems, in particular on distribution networks. Several approaches can be used to schedule the charge and discharge of EVs in coordination with the other distributed energy resources connected on the network operated by the distribution system operator (DSO). The aggregators, as virtual power plants (VPPs), can help the system operator in the management of these distributed resources taking into account the network characteristics. In the present work, an innovative hybrid methodology using deterministic and the elitist nondominated sorting genetic algorithm (NSGA-II) for the EV scheduling problem is proposed. The main goal is to test this method with two conflicting functions (cost and greenhouse gas (GHG) emissions minimization) and performing a comparison with a deterministic approach. The proposed method shows clear advantages in relation to the deterministic method, namely concerning the execution time (takes only 2% of the time) without impacting substantially the obtained results in both objectives (less than 5%).
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Penna, Giuseppe Della, Bedenetto Intrigila, Daniele Magazzeni, and Fabio Mercorio. "Synthesis of Cost-Optimal Strong Plans in Non-Deterministic Domains." International Journal on Artificial Intelligence Tools 24, no. 06 (December 2015): 1550025. http://dx.doi.org/10.1142/s0218213015500256.

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Automatic planning tools can be a valuable aid to build control systems for a wide range of everyday appliances. Many systems which interact with the real world present a non-deterministic behaviour, often made more complex by nonlinear continuous dynamics. In this context, strong planning, which requires finding a plan that is guaranteed to achieve the goal regardless of non-determinism, plays an important role. With the increasing need for optimising the use of resources, finding strong solutions while minimising a cost function appears a significant research challenge, which has not previously been addressed.In this paper we provide a formal description of the cost-optimal strong planning problem and present an algorithm to solve it with good complexity bounds. The algorithm correctness and completeness are formally proved, and its implementation in the disk-based SUPMurphi tool is described. Finally, two meaningful case studies are presented to show the effectiveness of the proposed approach compared with a state-of-the-art strong planning tool.
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Bhuvan, Ruby, Manimala Puri, and Umesh Jain. "A Robust Approach to Secure Structured Sensitive Data using Non-Deterministic Random Replacement Algorithm." International Journal of Computer Applications 179, no. 50 (June 15, 2018): 17–21. http://dx.doi.org/10.5120/ijca2018917306.

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33

Abgrall, Rémi, and Pietro Marco Congedo. "A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems." Journal of Computational Physics 235 (February 2013): 828–45. http://dx.doi.org/10.1016/j.jcp.2012.07.041.

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34

Lei, Jing, Peter Bickel, and Chris Snyder. "Comparison of Ensemble Kalman Filters under Non-Gaussianity." Monthly Weather Review 138, no. 4 (April 1, 2010): 1293–306. http://dx.doi.org/10.1175/2009mwr3133.1.

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Abstract Recently various versions of ensemble Kalman filters (EnKFs) have been proposed and studied. This work concerns, in a mathematically rigorous manner, the relative performance of two major versions of EnKF when the forecast ensemble is non-Gaussian. The approach is based on the stability of the filtering methods against small model violations, using the expected squared L2 distance as a measure of the deviation between the updated distributions. Analytical and experimental results suggest that both stochastic and deterministic EnKFs are sensitive to the violation of the Gaussian assumption, while the stochastic filter is relatively more stable than the deterministic filter under certain circumstances, especially when there are wild outliers. These results not only agree with previous empirical studies, but also suggest a natural choice of a free parameter in the square root Kalman filter algorithm.
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35

Pilar von Pilchau, Wenzel, Anthony Stein, and Jörg Hähner. "Synthetic Experiences for Accelerating DQN Performance in Discrete Non-Deterministic Environments." Algorithms 14, no. 8 (July 27, 2021): 226. http://dx.doi.org/10.3390/a14080226.

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State-of-the-art Deep Reinforcement Learning Algorithms such as DQN and DDPG use the concept of a replay buffer called Experience Replay. The default usage contains only the experiences that have been gathered over the runtime. We propose a method called Interpolated Experience Replay that uses stored (real) transitions to create synthetic ones to assist the learner. In this first approach to this field, we limit ourselves to discrete and non-deterministic environments and use a simple equally weighted average of the reward in combination with observed follow-up states. We could demonstrate a significantly improved overall mean average in comparison to a DQN network with vanilla Experience Replay on the discrete and non-deterministic FrozenLake8x8-v0 environment.
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36

Przygrodzki, Maksymilian, and Paweł Kubek. "The Polish Practice of Probabilistic Approach in Power System Development Planning." Energies 14, no. 1 (December 30, 2020): 161. http://dx.doi.org/10.3390/en14010161.

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Power systems can be analyzed using either a deterministic or a probabilistic approach. The deterministic analysis centers on studying the quantities and indicators that characterize the operating states of the power system under strictly defined conditions. However, the long-term horizon of planning analyses, the changes of marketing mechanisms, the development of renewable electricity sources, the leaving from large-scale generation, the growth of smart technology and the increase in consumer awareness make the development of transmission networks a non-deterministic problem. In this article, we propose a planning procedure that takes the probabilistic elements into account. This procedure was developed to take into account the high variability of power flows caused by the generation of renewable sources and international exchange. Such conditions of the power system operation forced a departure from deterministic planning. The new probabilistic approach uses the existing tools and experience gained during subsequent development projects. As part of the probabilistic approach, simulations were carried out using the Latin Hypercube Sampling and Two Point Estimation Method algorithms. These methods effectively reduce the computation time and, at the same time, give satisfactory results. The verification was carried out on a test grid model developed in accordance with the technical standards used in the Polish Power System. Effects were assessed using a deterministic and probabilistic approach. This analysis confirmed the practical possibility of using the probabilistic approach in planning the development of transmission network in Poland. When using a probabilistic approach to predict power flow, the criteria of technical acceptability for a given development variant and the manner in which the strategy is determined are of particular importance.
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Brankart, J. M., G. Candille, F. Garnier, C. Calone, A. Melet, P. A. Bouttier, P. Brasseur, and J. Verron. "A generic approach to explicit simulation of uncertainty in the NEMO ocean model." Geoscientific Model Development Discussions 8, no. 1 (January 27, 2015): 615–43. http://dx.doi.org/10.5194/gmdd-8-615-2015.

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Abstract. In this paper, a simple and generic implementation approach is presented, with the aim of transforming a deterministic ocean model (like NEMO) into a probabilistic model. With this approach, several kinds of stochastic parameterizations are implemented to simulate the non-deterministic effect of unresolved processes, unresolved scales, unresolved diversity. The method is illustrated with three applications, showing that uncertainties can produce a major effect in the circulation model, in the ecosystem model, and in the sea ice model. These examples show that uncertainties can produce an important effect in the simulations, strongly modifying the dynamical behaviour of these three components of ocean systems.
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Гавриленко, T. Gavrilenko, Еськов, Valeriy Eskov, Еськов, Valeriy Eskov, Вохмина, and Yu Vokhmina. "Non-stationary stationarity in systems of third type and philosophy of instability." Complexity. Mind. Postnonclassic 4, no. 2 (September 25, 2015): 65–74. http://dx.doi.org/10.12737/12003.

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There are several criteria in science for stationarity (stability) of different dynamical systems. The stationarity in physics, engineering and chemistry is being interpreted as matching the requirements of dx/dt=0, where x=x(t) - is the vector of system’s state, or the equality of distribution functions f(x) for different samples which characterize the system. However, in case of social or biological systems the matching of the requirements is impossible and there is a problem of specific assessment of stationary regimes of complex systems of the third type. The possibility of studying of such systems within the frame of deterministic chaos, stochastic approach and theory of chaos and self-organization is being discussed. This article explains why I.R. Prigogine refused from materialistic (in fact deterministic) approach in the description of such special systems of third type and tried to get away from the traditional science in the description of biological systems.
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Das, Rajeev, and Azzedine Soulaimani. "Non-Deterministic Methods and Surrogates in the Design of Rockfill Dams." Applied Sciences 11, no. 8 (April 20, 2021): 3699. http://dx.doi.org/10.3390/app11083699.

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The parameters of the constitutive models used in the design of rockfill dams are associated with a high degree of uncertainty. This occurs because rockfill dams are comprised of numerous zones, each with different soil materials, and it is not feasible to extract materials from such structures to accurately ascertain their behavior or their respective parameters. The general approach involves laboratory tests using small material samples or empirical data from the literature. However, such measures lack an accurate representation of the actual scenario, resulting in uncertainties. This limits the suitability of the model in the design process. Inverse analysis provides an option to better understand dam behavior. This procedure involves the use of real monitored data, such as deformations and stresses, from the dam structure via installed instruments. Fundamentally, it is a non-destructive approach that considers optimization methods and actual performance data to determine the values of the parameters by minimizing the differences between simulated and observed results. This paper considers data from an actual rockfill dam and proposes a surrogate assisted non-deterministic framework for its inverse analysis. A suitable error/objective function that measures the differences between the actual and simulated displacement values is defined first. Non-deterministic algorithms are used as the optimization technique, as they can avoid local optima and are more robust when compared to the conventional deterministic methods. Three such approaches, the genetic algorithm, differential evolution, and particle swarm optimization are evaluated to identify the best strategy in solving problems of this nature. A surrogate model in the form of a polynomial regression is studied and recommended in place of the actual numerical model of the dam to reduce computation cost. Finally, this paper presents the relevant dam parameters estimated by the analysis and provides insights into the performance of the three procedures to solve the inverse problem.
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Mittal, Mamta, Rajendra Kumar Sharma, Varinder Pal Singh, and Raghvendra Kumar. "Adaptive Threshold Based Clustering." International Journal of Information System Modeling and Design 10, no. 1 (January 2019): 42–59. http://dx.doi.org/10.4018/ijismd.2019010103.

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Partitioning-based clustering methods have various challenges especially user-defined parameters and sensitivity to initial seed selections. K-means is most popular partitioning based method while it is sensitive to outlier, generate non-overlap cluster and non-deterministic in nature due to its sensitivity to initial seed selection. These limitations are regarded as promising research directions. In this study, a deterministic approach which do not requires user defined parameters during clustering; can generate overlapped and non-overlapped clusters and detect outliers has been proposed. Here, a minimum support value has been adopted from association rule mining to improve the clustering results. Further, the improved approach has been analysed on artificial and real datasets. The results demonstrated that datasets are well clustered with this approach too and it achieved success to generate almost same number of clusters as present in real datasets.
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41

Popov, Alexander, and Galina Klitcheva. "Deterministically – Probabilistic Approach for Determining the Steels Elasticity Modules." Journal of Theoretical and Applied Mechanics 45, no. 1 (March 1, 2015): 99–106. http://dx.doi.org/10.1515/jtam-2015-0007.

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Abstract The known deterministic relationships to estimate the elastic characteristics of materials are not well accounted for significant variability of these parameters in solids. Therefore, it is given a probabilistic approach to determine the modules of elasticity, adopted to random values, which increases the accuracy of the obtained results. By an ultrasonic testing, a non-destructive evaluation of the investigated steels structure and properties has been made.
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42

Lukkassen, Dag, Gabriel Nguetseng, Hubert Nnang, and Peter Wall. "Reiterated homogenization of nonlinear monotone operators in a general deterministic setting." Journal of Function Spaces and Applications 7, no. 2 (2009): 121–52. http://dx.doi.org/10.1155/2009/102486.

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We study reiterated homogenization of a nonlinear non-periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ-convergence. A general deterministic homogenization theorem is proved and several concrete examples are studied under various structure hypotheses ranging from the classical periodicity hypothesis to more complicated, but realistic, structure hypotheses.
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43

Chrpa, Lukas, Jakub Gemrot, and Martin Pilat. "Planning and Acting with Non-Deterministic Events: Navigating between Safe States." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 06 (April 3, 2020): 9802–9. http://dx.doi.org/10.1609/aaai.v34i06.6532.

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Automated Planning addresses the problem of finding a sequence of actions, a plan, transforming the environment from its initial state to some goal state. In real-world environments, exogenous events might occur and might modify the environment without agent's consent. Besides disrupting agent's plan, events might hinder agent's pursuit towards its goals and even cause damage (e.g. destroying the robot).In this paper, we leverage the notion of Safe States in dynamic environments under presence of non-deterministic exogenous events that might eventually cause dead-ends (e.g. “damage” the agent) if the agent is not careful while executing its plan. We introduce a technique for generating plans that constrains the number of consecutive “unsafe” actions in a plan and a technique for generating “robust” plans that effectively evade event effects. Combination of both approaches plans and executes robust plans between safe states. We empirically show that such an approach effectively navigates the agent towards its goals in spite of presence of dead-ends.
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44

Mosca, Roberto, Maurizio Schenone, and Alessandra Frigato Bonello. "Risk Analysis in the Evaluation of Plant Investments: The Contribution of a Non-Deterministic Approach." Project Management Journal 32, no. 3 (September 2001): 4–11. http://dx.doi.org/10.1177/875697280103200302.

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45

Anh, Nguyen Dong, and Ninh Quang Hai. "Extension of method of moment equation to nonlinear deterministic vibrations." Vietnam Journal of Mechanics 24, no. 3 (September 30, 2002): 133–41. http://dx.doi.org/10.15625/0866-7136/24/3/6615.

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The paper present the so-called "an extended averaged equation approach" to the investigation of nonlinear vibration problems. The numerical results in analysing the vibration systems with weak, middle and strong non-linearity show the advantages of the method.
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46

CAIRNS, ROBERT D., and NGO VAN LONG. "Maximin: a direct approach to sustainability." Environment and Development Economics 11, no. 3 (May 17, 2006): 275–300. http://dx.doi.org/10.1017/s1355770x06002877.

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We solve directly a general maximin (sustainment, intergenerational-equity) problem. Because the shadow values of a maximin problem do not correspond to the shadow values from a general discounted-utility solution, they correspond to the prices of only a very special competitive economy. Virtual discount factors for the economy arise. They do not correspond to hyperbolic discount factors. Hartwick's rule is derived and generalized naturally to take into account non-autonomous and non-deterministic features of the economy. Under uncertainty, Hartwick's rule is the analytic expression of a form of precautionary principle. Hotelling's rule is a necessary condition, but may be more complex than has been appreciated in simple models. Some interpretations of strong sustainment are special cases of weak sustainment but, paradoxically, may be more difficult to solve.
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47

Vaddireddy, Harsha, and Omer San. "Equation Discovery Using Fast Function Extraction: a Deterministic Symbolic Regression Approach." Fluids 4, no. 2 (June 15, 2019): 111. http://dx.doi.org/10.3390/fluids4020111.

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Advances in machine learning (ML) coupled with increased computational power have enabled identification of patterns in data extracted from complex systems. ML algorithms are actively being sought in recovering physical models or mathematical equations from data. This is a highly valuable technique where models cannot be built using physical reasoning alone. In this paper, we investigate the application of fast function extraction (FFX), a fast, scalable, deterministic symbolic regression algorithm to recover partial differential equations (PDEs). FFX identifies active bases among a huge set of candidate basis functions and their corresponding coefficients from recorded snapshot data. This approach uses a sparsity-promoting technique from compressive sensing and sparse optimization called pathwise regularized learning to perform feature selection and parameter estimation. Furthermore, it recovers several models of varying complexity (number of basis terms). FFX finally filters out many identified models using non-dominated sorting and forms a Pareto front consisting of optimal models with respect to minimizing complexity and test accuracy. Numerical experiments are carried out to recover several ubiquitous PDEs such as wave and heat equations among linear PDEs and Burgers, Korteweg–de Vries (KdV), and Kawahara equations among higher-order nonlinear PDEs. Additional simulations are conducted on the same PDEs under noisy conditions to test the robustness of the proposed approach.
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48

Mohapatra, Sasmita, Ajay Kumar Behera, Rabindra Mahapatra, and Harish Das. "A deterministic inventory model in reverse supply chain." Journal of Modelling in Management 15, no. 1 (October 5, 2019): 318–38. http://dx.doi.org/10.1108/jm2-03-2019-0076.

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Purpose The purpose of this paper is to present a unique model for the production–recycling–reuse of aluminium refreshment cans. It is presumed that disposed-off 250-ml aluminium cans are collected from the retail outlet. The cans are thereafter arranged into non-tainted and tainted categories. Design/methodology/approach The current model considers all the factors, i.e. producing, recycling and remanufacturing, whereas the previous models provide emphasis only one factor. Six procedures were considered in the improvement of the mathematical model. Findings In this paper, a recycling–reuse model that remanufactures non-tainted aluminium beverage cans and uses regrind from damaged non-tainted aluminium beverage cans mixed with parent aluminium material in the production of new cans was developed and analysed to reduce the amount of aluminium beverage cans that are disposed off in a scrapyard. The model is assumed to have no shortcomings, and the different percentages regarding the classes of cans are taken to be deterministic. Originality/value The model incorporates several unique aspects, including accounting for the cost of land use and associated environmental damage through the calculation of a present value that is charged to the manufacturer.
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Dias Saraiva, Rommel, Napoleão Nepomuceno, and Plácido Rogério Pinheiro. "A Two-Phase Approach for Single Container Loading with Weakly Heterogeneous Boxes." Algorithms 12, no. 4 (March 30, 2019): 67. http://dx.doi.org/10.3390/a12040067.

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We propose in this paper a two-phase approach that decomposes the process of solving the three-dimensional single Container Loading Problem (CLP) into subsequent tasks: (i) the generation of blocks of boxes and (ii) the loading of blocks into the container. The first phase is deterministic, and it is performed by means of constructive algorithms from the literature. The second phase is non-deterministic, and it is performed with the use of Generate-and-Solve (GS), a problem-independent hybrid optimization framework based on problem instance reduction that combines a metaheuristic with an exact solver. Computational experiments performed on benchmark instances indicate that our approach presents competitive results compared to those found by state-of-the-art algorithms, particularly for problem instances consisting of a few types of boxes. In fact, we present new best solutions for classical instances from groups BR1 and BR2.
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TSAI, JEFFREY J. P., ALAN LIU, and KRISHNAKUMAR NAIR. "DEBUGGING LOGIC-BASED REQUIREMENTS SPECIFICATIONS FOR SAFETY-CRITICAL SYSTEMS — A FRORL APPROACH." International Journal of Software Engineering and Knowledge Engineering 04, no. 02 (June 1994): 205–28. http://dx.doi.org/10.1142/s0218194094000118.

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Safety-critical systems are not only difficult to build, but also difficult to debug because they often have strict timing constraints and non-deterministic behavior. A correct and precise specification reduces the effort spent in testing and debugging the implemented system. This paper presents techniques of specification debugging and issues related to it. We introduce an approach to the debugging of a specification in FRORL (Frame and Rule Oriented Requirements Language), which supports non-determinism and non-monotonicity in a system. The approach aids the user in detecting and correcting the possible faults which can arise not only when writing the specification, but also after the verification of the specification.
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