Results 31 to 40 of about 24,658 (179)
Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions [PDF]
Opuscula Mathematica, 2014 In this paper, we generalize the notion of \(B\)-\((p,r)\)-invexity introduced by Antczak in [A class of \(B\)-\((p; r)\)-invex functions and mathematical programming, J. Math. Anal. Appl. 286 (2003), 187-206] for scalar optimization problems to the case
Tadeusz Antczak, Manuel Arana Jiménez
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, 2014 Yuan's theorem of the alternative is an important theoretical tool in optimization, which provides a checkable certificate for the infeasibility of a strict inequality system involving two homogeneous quadratic functions.
Hu, Shenglong, Li, Guoyin, Qi, Liqun
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Exact Optimal Designs of Experiments for Factorial Models via Mixed-Integer Semidefinite Programming
Mathematics, 2023 The systematic design of exact optimal designs of experiments is typically challenging, as it results in nonconvex optimization problems. The literature on the computation of model-based exact optimal designs of experiments via mathematical programming ...
Belmiro P. M. Duarte
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An Accelerating Algorithm for Linear Multiplicative Programming Problem
IEEE Access, 2020 By reformulating the linear multiplicative programming problem (LMP) as an equivalent nonconvex programming problem (EP), we present a new accelerating outcome space branch-and-bound algorithm for globally solving the problem (LMP).
Shuai Tang, Zhisong Hou, Longquan Yong
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Abstract and Applied Analysis, 2013 Combined heat and power dynamic economic emission dispatch (CHPDEED) problem is a complicated nonlinear constrained multiobjective optimization problem with nonconvex characteristics.
A. M. Elaiw, X. Xia, A. M. Shehata
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Magneto‐X Effects in Magnetic Soft Materials and Their Applications
Advanced Science, EarlyView.This review systematically explores magnetic soft materials (MSMs), a novel class of composites that transform under magnetic fields. It catalogs fundamental “Magneto‐X” effects, classifies materials by their matrix and magnetic fillers, and highlights transformative applications in soft robotics, biomedical devices, flexible electronics, etc. Finally,
Ziyin Xiang +5 more
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An ADMM-based SQP method for separably smooth nonconvex optimization
Journal of Inequalities and Applications, 2020 This work is about a splitting approach for solving separably smooth nonconvex linearly constrained optimization problems. Based on the ideas from two classical methods, namely the sequential quadratic programming (SQP) and the alternating direction ...
Meixing Liu, Jinbao Jian
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Reformulations of mathematical programming problems as linear complementarity problems [PDF]
, 1982 A family of complementarity problems are defined as extensions of the well known Linear Complementarity Problem (LCP). These are (i.) Second Linear Complementarity Problem (SLCP) which is an LCP extended by introducing further equality restrictions and ...
Judice, JJ, Mitra, G
core
Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
AIChE Journal, EarlyView.Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
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Journal of the Mechanical Behavior of Materials, 2015 This paper introduces constructing convex-relaxed programs for nonconvex optimization problems. Branch-and-bound algorithms are convex-relaxation-based techniques.
Keller André A.
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