Results 11 to 20 of about 22,797 (304)
Disciplined Geodesically Convex Programming
Convex programming plays a fundamental role in machine learning, data science, and engineering. Testing convexity structure in nonlinear programs relies on verifying the convexity of objectives and constraints. Grant et al. (2006) introduced a framework, Disciplined Convex Programming (DCP), for automating this verification task for a wide range of ...
Andrew Cheng +2 more
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Convex approximations for complete integer recourse models [PDF]
We consider convex approximations of the expected value function of a two-stage integer recourse problem. The convex approximations are obtained by perturbing the distribution of the random right-hand side vector.
Vlerk, Maarten H. van der +2 more
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LINEAR PROGRAMMING APPLIED TO A CONVEX PROGRAMMING TYPE
In the present’s paper studying a strategy for a typo of convex problem, we treat a linear programming problem whose coefficient of decision variables in the objective function has a nonlinear behavior.
Edinson Raúl Montoro Alegre +3 more
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Componentwise Fractional Programming with Application to Resource Allocation [PDF]
A fractional programming problem is considered of the maximization of the ratio of a concave and a convex function, with each variable occurring in a single convex component constraint.
Kåre M. Mjelde
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Global Optimization for the Sum of Concave-Convex Ratios Problem
This paper presents a branch and bound algorithm for globally solving the sum of concave-convex ratios problem (P) over a compact convex set. Firstly, the problem (P) is converted to an equivalent problem (P1).
XueGang Zhou, JiHui Yang
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Convex multiobjective programming problems and multiplicative programming problems have important applications in areas such as finance, economics, bond portfolio optimization, engineering, and other fields. This paper presents a quite easy algorithm for
Le Quang Thuy +2 more
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A Multi-Step Inertial Proximal Peaceman-Rachford Splitting Method for Separable Convex Programming
In this paper, we propose a multi-step inertial proximal Peaceman-Rachford splitting method (abbreviated as MIP-PRSM) for solving the two-block separable convex optimization problems with linear constraints, which is a unified framework for such Peaceman-
Hongyan Li, Dongmei Yu, Leifu Gao
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On Mixed-Integer Random Convex Programs [PDF]
We consider a class of mixed-integer optimization problems subject to N randomly drawn convex constraints. We provide explicit bounds on the tails of the probability that the optimal solution found under these N constraints will become infeasible for the
D. Lyons +8 more
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In this paper, we present an inexact multiblock alternating direction method for the point-contact friction model of the force-optimization problem (FOP).
Yaling Zhang, Xuewen Mu
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Midcourse Guidance Trajectory Optimization of Interceptor Missile Based on Sequential Convex Programming [PDF]
Aiming at the trajectory optimization problem of interceptor midcourse guidance under strong nonlinear multi-constraint conditions, a trajectory optimization algorithm for fixed time constraints is proposed based on sequential convex programming method ...
Li Jiong, Zhang Jinlin, Shao Lei, Li Wanli, He Yangchao
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