Nonsmooth optimization
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Fritz John necessary conditions for local Henig and global efficient solutions of vector equilibrium problems involving equality, inequality and set constraints with nonsmooth functions are established via convexificators. Under suitable constraint qualifications, Kuhn–Tucker necessary conditions for local Henig and gobally efficient solutions are derived.
19p vioracle 25-09-2023 2 2 Download
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This paper deals with approximate Pareto efficient solutions of a nonsmooth fractional interval-valued multiobjective optimization. We first introduce some types of approximate Pareto efficient solutions of the considered problem by considering the lower-upper interval order relation.
10p viberkshire 09-08-2023 7 4 Download
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Nonconvex SINR constraints in amplify-and-forward (AF) multiple-input multiple-output (MIMO) relay beamforming problems make the design mathematically intractable. A more practical optimization is to maximize the minimum SINR achievable data rate among all the users. The previously existing methods invoke the vectorization of pre-coding matrix X and then introduce the auxiliary variable matrix of lager dimension which results in an increased computational complexity.
5p viericschmid 12-01-2022 14 2 Download
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Dynamic Flux Balance Analysis (DFBA) is a dynamic simulation framework for biochemical processes. DFBA can be performed using different approaches such as static optimization (SOA), dynamic optimization (DOA), and direct approaches (DA).
10p vikentucky2711 26-11-2020 9 0 Download
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We consider a general class of nonlinear constrained optimization problems, where derivatives of the objective function and constraints are unavailable. This property of problems can often impede the performance of optimization algorithms. Most algorithms usually determine a quasi-Newton direction and then use line search techniques.
17p danhdanh27 07-01-2019 21 1 Download
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A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r) − ρ − (η,θ) - invex class about the Clarke generalized gradient. Under the above invexity assumption, sufficient conditions for optimality are given. Finally, three types of dual problems corresponding to (MFP) are formulated, and appropriate dual theorems are proved.
20p vinguyentuongdanh 19-12-2018 26 1 Download
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In this paper, we consider a nonsmooth semi-infinite multiobjective programming problem involving support functions. We establish sufficient optimality conditions for the primal problem. We formulate Mond-Weir type dual for the primal problem and establish weak, strong and strict converse duality theorems under various generalized convexity assumptions. Moreover, some special cases of our problem and results are presented.
14p danhnguyentuongvi27 19-12-2018 20 1 Download
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In this paper, we define some new generalizations of strongly convex functions of order m for locally Lipschitz functions using Clarke subdifferential. Suitable examples illustrating the non emptiness of the newly defined classes of functions and their relationships with classical notions of pseudoconvexity and quasiconvexity are provided.
16p danhnguyentuongvi27 19-12-2018 37 1 Download
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We present some duality theorems for a non-smooth Lipschitz vector optimization problem. Under generalized invexity assumptions on the functions the duality theorems do not require constraint qualifications.
7p vinguyentuongdanh 19-12-2018 32 0 Download
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(bq) part 2 book “management science – the art of modeling with spreadsheets” has contents: integer optimization, optimization of nonsmooth models, decision analysis, monte carlo simulation, optimization in simulation, optimization of network models.
306p tieu_vu15 07-09-2018 24 2 Download
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(bq) part 2 book "management science" has contents: optimization of network models, integer optimization, optimization of nonsmooth models, decision analysis, monte carlo simulation, optimization in simulation.
263p bautroibinhyen30 15-06-2017 44 6 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems
7p sting09 22-02-2012 64 2 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex
14p dauphong14 11-02-2012 37 6 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Optimality and Duality Theorems in Nonsmooth
11p dauphong12 07-02-2012 30 2 Download