This paper proposes a new electric load forecasting model by hybridizing the fuzzy time series (FTS) and global harmony search algorithm (GHSA) with least squares support vector machines (LSSVM), namely GHSA-FTS-LSSVM model. Firstly, c-means clustering (FCS) is used to calculate center of each cluster. Secondly, LSSVM applied resultant series, which optimized GHSA. Finally, real-world example adopted test performance proposed In this investigation, verified using experimental datasets from...

In this work, we try to solve the problem of day-ahead prediction electricity demand using an ensemble forecasting model. Based on Pattern Sequence Similarity (PSF) algorithm, implemented five models different clustering techniques: K-means model (as in original PSF), Self-Organizing Map model, Hierarchical Clustering K-medoids and Fuzzy C-means By incorporating these models, then proposed named Forecasting Ensemble Model (PFEM), with iterative procedure. We evaluated its performance three...

We study a scalar integro-differential conservation law which was recently derived by the authors as slow erosion limit of granular flow. Considering set more general functions, we initial boundary value problem for one cannot adapt standard theory laws. construct approximate solutions with fractional step method, recomputing integral term at each time step. A prioriL ∞ bound and total variation estimates yield convergence global existence bounded variation. Furthermore, present...

We consider a conservation law model of traffic flow, where the velocity each car depends on weighted average density ρ ahead.The averaging kernel is exponential type: wε(s) = ε -1 e -s/ε .For any decreasing function v, we prove that, as → 0, limit solutions to nonlocal equation coincides with unique entropy-admissible solution scalar ρt + (ρv(ρ))x 0.

Mathematical Models and Methods in Applied SciencesAccepted Papers No AccessConservation Laws with Discontinuous Gradient-Dependent Flux:the Stable CaseDebora Amadori, Alberto Bressan, Wen ShenDebora Bressan Search for more papers by this author , Shenhttps://orcid.org/0000-0003-4754-1405 https://doi.org/10.1142/S021820252550023XCited by:0 (Source: Crossref) Next AboutFiguresReferencesRelatedDetailsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend Library ShareShare...

We consider several nonlocal models for traffic flow, including both microscopic ODE and macroscopic PDE models. The describe the movement of individual cars, where each driver adjusts speed according to road condition over an interval in front car. These are known as FtLs (Follow-the-Leaders) corresponding models, describing evolution density conservation laws with flux functions. For types we study stationary traveling wave profiles discrete profiles. (See definitions 1.1 1.2,...

With proper management, Autonomous Mobility-on-Demand (AMoD) systems have great potential to satisfy the transport demands of urban populations by providing safe, convenient, and affordable ridesharing services. Meanwhile, such can substantially decrease private car ownership use, thus significantly reduce traffic congestion, energy consumption, carbon emissions. To achieve this objective, an AMoD system requires information about demand from passengers. However, due self-interestedness,...

<p style='text-indent:20px;'>The main goal of this paper is to analyze a family "simplest possible" initial data for which, as shown by numerical simulations, the incompressible Euler equations have multiple solutions. We take here first step toward rigorous validation these results. Namely, we consider system corresponding self-similar solution, restricted bounded domain with smooth boundary. Given an approximate solution obtained via finite dimensional Galerkin method, establish posteriori...

The paper is concerned with the optimal harvesting of a marine resource, described by an elliptic equation Neumann boundary conditions and nonlinear source term. Since cost function has linear growth, solution found within class measure-valued control strategies. analysis also provides results on existence uniqueness strictly positive solutions to data.

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Abstract In this paper we analyze a set of equations proposed by Hadeler and Kuttler [Citation20], describing the flow granular matter in terms heights standing layer moving layer. By suitable change variables, system can be written as 2 × hyperbolic balance laws, which study one-dimensional case. The is linearly degenerate along two straight lines phase plane, therefore weakly at point intersection. source term quadratic, consisting product quantities, are transported with strictly...

We consider two scalar conservation laws with non-local flux functions, describing traffic flow on roads rough conditions. In the first model, velocity of car depends an averaged downstream density, while in second model one considers velocity. The road condition is piecewise constant a jump at $ x = 0 $. study stationary traveling wave profiles cross $, for all possible cases. show that, depending case, there could exit infinitely many profiles, unique profile, or no all. Furthermore, some...

We consider the Cauchy problem for a system of $2n$ balance laws which arises from modelling multi-component chromatography:$u_t + u_x =-\frac{1}{\varepsilon} (F(u)-v),$ (1)$v_t = \frac{1}{\varepsilon} (F(u)-v),$This model describes liquid flowing with unit speed over solid bed. Several chemical substances are partly dissolved in liquid, deposited on Their concentrations represented respectively by vectors $u (u_1, ... , u_n)$ and $v (v_1, v_n)$.We show that, if initial data have small total...