Articles with "proximal bundle" as a keyword



A new infeasible proximal bundle algorithm for nonsmooth nonconvex constrained optimization

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Published in 2019 at "Computational Optimization and Applications"

DOI: 10.1007/s10589-019-00115-8

Abstract: Proximal bundle method has usually been presented for unconstrained convex optimization problems. In this paper, we develop an infeasible proximal bundle method for nonsmooth nonconvex constrained optimization problems. Using the improvement function we transform the… read more here.

Keywords: infeasible proximal; proximal bundle; nonconvex constrained; constrained optimization ... See more keywords

A proximal bundle-based algorithm for nonsmooth constrained multiobjective optimization problems with inexact data

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Published in 2021 at "Numerical Algorithms"

DOI: 10.1007/s11075-021-01128-3

Abstract: In this paper, a proximal bundle-based method for solving nonsmooth nonconvex constrained multiobjective optimization problems with inexact information is proposed and analyzed. In this method, each objective function is treated individually without employing any scalarization.… read more here.

Keywords: proximal; proximal bundle; bundle based; multiobjective optimization ... See more keywords

A dynamic multiple proximal bundle algorithm for locally Lipschitz multiobjective optimization problems

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Published in 2024 at "Optimization"

DOI: 10.1080/02331934.2024.2374513

Abstract: We propose a method for nonsmooth nonconvex multiobjective optimization problems that is based on a bundle-type approach. The proposed method employs an extension of the redistributed proximal bundle algorithm and uses an augmented improvement function… read more here.

Keywords: optimization problems; bundle algorithm; proximal bundle; multiobjective optimization ... See more keywords

Lagrangian Relaxation Based on Improved Proximal Bundle Method for Short-Term Hydrothermal Scheduling

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Published in 2021 at "Sustainability"

DOI: 10.3390/su13094706

Abstract: Short-term hydrothermal scheduling (STHS) can improve water use efficiency, reduce carbon emissions, and increase economic benefits by optimizing the commitment and dispatch of hydro and thermal generating units together. However, limited by the large system… read more here.

Keywords: bundle method; short term; hydrothermal scheduling; proximal bundle ... See more keywords