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Second-Order Cone Programming

2022
In modern convex optimization, the class of optimization that is an immediate enlargement of linear programming is not quadratic programming, but rather the so-called second-order cone programming. Second-order cone programming (SOCP for short) problems, which include linear programming problems and quadratic programming problems as special cases, are ...
openaire   +1 more source

Statistical Inference of Second-Order Cone Programming

Asia-Pacific Journal of Operational Research, 2019
In this paper, we study the stability of stochastic second-order programming when the probability measure is perturbed. Under the Lipschitz continuity of the objective function and metric regularity of the feasible set-valued mapping, the outer semicontinuity of the optimal solution set and Lipschitz continuity of optimal values are demonstrated ...
Zhang, Liwei, Gao, Shengzhe, Guo, Saoyan
openaire   +2 more sources

Limit Analysis of Modified Pseudodynamic Lateral Earth Pressure in Anisotropic Frictional Medium Using Finite-Element and Second-Order Cone Programming

, 2021
This paper aims at analyzing the active and passive lateral earth pressures exerted on retaining walls due to the anisotropic medium of dry and noncohesive backfill subjected to the modifi...
H. Fathipour   +4 more
semanticscholar   +1 more source

Second-order variational analysis in second-order cone programming

Mathematical Programming, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hang N.T.V.   +2 more
openaire   +2 more sources

The method for second order cone programming

Computers & Operations Research, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia, Yu, Alizadeh, Farid
openaire   +2 more sources

Second-Order Cone Programming for Data-Driven Fluid and Gas Energy Flow With a Tight Reformulation

IEEE Transactions on Power Systems, 2021
The precise fluid and gas energy flow equations (FEFEs) are difficult to formulate due to the uncertain parameters. This paper proposes a data-driven approach to fit the FEFEs by polynomial functions through experimental data.
Wenhao Jia, Tao Ding, M. Shahidehpour
semanticscholar   +1 more source

Relaxed robust second-order-cone programming

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Averbakh, I., Zhao, Y. B.
openaire   +2 more sources

Quadratic, Semidefinite, and Second-Order Cone Programming

2021
Quadratic programming (QP) is a family of methods, techniques, and algorithms that can be used to minimize quadratic objective functions subject to linear constraints. QP shares many combinatorial features with linear programming (LP) and it is often used as the basis of constrained nonlinear programming.
Andreas Antoniou, Wu-Sheng Lu
openaire   +1 more source

A Second-Order Cone Programming (SOCP) Based Optimal Power Flow (OPF) Model With Cyclic Constraints for Power Transmission Systems

IEEE Transactions on Power Systems
For meshed power networks, even though the conic relaxation is shown to be exact, the relaxation of angles may not be exact using the existing Second-Order Cone Programming (SOCP) based optimal power flow (OPF) models.
Mokter Mahmud Chowdhury   +2 more
semanticscholar   +1 more source

Aubin Property and Strong Regularity Are Equivalent for Nonlinear Second-Order Cone Programming

SIAM Journal on Optimization
This paper solves a fundamental open problem in variational analysis on the equivalence between the Aubin property and the strong regularity for nonlinear second-order cone programming (SOCP) at a locally optimal solution.
Liang Chen   +3 more
semanticscholar   +1 more source

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