The real-time pricing optimization model of smart grid based on the utility function of the logistic function

Y Li, J Li, J He, S Zhang - Energy, 2021‏ - Elsevier
The utility function is very significant for solving the real-time pricing problem of smart grid.
Based on the Logistic function, a new utility function is constructed to satisfy four properties …

Smoothing techniques in solving non-Lipschitz absolute value equations

N Yilmaz, A Sahiner - International Journal of Computer …, 2023‏ - Taylor & Francis
In this study, we define for the first time the non-Lipschitz generalization of absolute value
equations and concentrate on solving the problem of non-Lipschitz absolute value …

A fixed-time inverse-free dynamical system for solving the system of absolute value equations

X Li, D Yu, Y Yang, D Han, C Chen - arxiv preprint arxiv:2208.10691, 2022‏ - arxiv.org
In this paper, an inverse-free dynamical system with fixed-time convergence is presented to
solve the system of absolute value equations (AVEs). Under a mild condition, it is proved …

Neural network based on systematically generated smoothing functions for absolute value equation

B Saheya, CT Nguyen, JS Chen - Journal of Applied Mathematics and …, 2019‏ - Springer
In this paper, we summarize several systematic ways of constructing smoothing functions
and illustrate eight smoothing functions accordingly. Then, based on these systematically …

[PDF][PDF] On generalized absolute value equations

MA Noor, KI Noor, S Batool - UPB Sci. Bull. Ser. A Appl …, 2018‏ - scientificbulletin.upb.ro
In this paper, we consider the generalized absolute value equations. It is shown that Lax-
Milgram lemma and absolute values equations can be obtained as special cases. We use …

[PDF][PDF] New novel iterative schemes for solving general absolute value equations

MA Noor, KI Noor - J. Math. Anal, 2022‏ - researchgate.net
In this paper, we consider the general absolute value equations, which can be used to study
the odd-order and nonsymmetric boundary value problems. It is shown that Lax-Milgram …

Introducing three new smoothing functions: Analysis on smoothing-Newton algorithms

N Yilmaz - Journal of Mathematical Modeling, 2024‏ - jmm.guilan.ac.ir
In this paper, we focus on solving the system of absolute value equations (AVE), which is
one of the most popular classes of nonlinear equations. First, a new smoothing technique …

Smoothing Levenberg–Marquardt algorithm for solving non-Lipschitz absolute value equations

N Yilmaz, A Kayacan - Journal of Applied Analysis, 2023‏ - degruyter.com
In this study, we concentrate on solving the problem of non-Lipschitz absolute value
equations (NAVE). A new Bezier curve based smoothing technique is introduced and a new …

[PDF][PDF] Neural network-based method for solving absolute value equations

XJ Huang, BT Cui - ICIC Express Lett, 2017‏ - researchgate.net
This paper presents a neural network method for solving absolute value equation (AVE).
First, the AVE is transformed into an equivalent linear complementary problem (LCP) when …

Improved Glowworm Swarm Optimization Algorithm Based on a Sigmoid Function for the Absolute Value Equation

F Wang, C Chen, K Chen, L Shen - … and Mobile Computing, 2022‏ - Wiley Online Library
Solving the absolute value equation (AVE) is a nondifferentiable NP‐hard and continuous
optimization problem with a wide range of applications. Because its solutions have different …