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A method for determining optimal multipliers in the surrogate constraint method

Electronics and Communications in Japan (Part III: Fundamental Electronic Science), 2005
It has recently been important to obtain optimal solutions to multidimensional nonlinear integer programming problems with multiple constraints. The surrogate constraint method is very effective in obtaining high-quality solutions of the original multidimensional problems. The surrogate constraint method translates a multidimensional problem into a one-
Yuji Nakagawa   +3 more
openaire   +3 more sources

Surrogate constraint method for optimal power flow

Proceedings of the 20th International Conference on Power Industry Computer Applications, 1998
This paper represents a technique based on constraints surrogate defined by the maximum entropy principle for optimal power flow (OPF) problems. One of the obstacles impeding the OPF calculations is the problem associated with handling a large number of functional inequality constraints, which cause computational inefficiencies for large power systems.
L. Chen, S. Matoba, H. Inabe, T. Okabe
openaire   +3 more sources

Zero duality gap in integer programming: P-norm surrogate constraint method

Operations Research Letters, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duan Li
openaire   +5 more sources

A block-iterative surrogate constraint splitting method for quadratic signal recovery

IEEE Transactions on Signal Processing, 2003
A block-iterative parallel decomposition method is proposed to solve general quadratic signal recovery problems under convex constraints. The proposed method proceeds by local linearizations of blocks of constraints, and it is therefore not sensitive to their analytical complexity.
P L Combettes
openaire   +4 more sources

Asymptotic surrogate constraint method and its convergence for a class of semi-infinite programming

Applied Mathematics-A Journal of Chinese Universities, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan, Zhongping, Wu, Guoming
openaire   +3 more sources

Solving the Redundancy Allocation Problem With a Mix of Components Using the Improved Surrogate Constraint Method

IEEE Transactions on Reliability, 2007
When designing a system, there are two methods that can be used to improve the system's reliability without changing the nature of the system: 1) using more reliable components, and/or 2) providing redundant components within the system. The redundancy allocation problem attempts to find the appropriate mix of components & redundancies within a system ...
J. Onishi   +3 more
openaire   +4 more sources

Necessary and Sufficient Constraint Qualification for Surrogate Duality

open access: yesJournal of Optimization Theory and Applications, 2011
In mathematical programming, constraint qualifications are essential elements for duality theory. Recently, necessary and sufficient constraint qualifications for Lagrange duality results have been investigated.
Daishi Kuroiwa, Kuroiwa Daishi
exaly   +3 more sources

Surrogate Based Method for Evaluation of Failure Probability under Multiple Constraints

SIAM Journal on Scientific Computing, 2014
In this paper we study the problem of computing failure probability subject to multiple constraints. In particular, we consider the case of surrogate models, also known as response surfaces, for the available constraints. An important feature is that the surrogates are not required to have high accuracy.
Jing Li, Dongbin Xiu
openaire   +2 more sources

Surrogate Constraint Methods for Linear Inequalities

1992
Systems of linear inequalities and equations are very important in optimization. Recent applications of mathematical programming in areas such as computerized tomography (CAT scan) lead to very large and sparse systems of linear equations and inequalities which need to be solved approximately within reasonable time.
Kai Yang, Katta G. Murty
openaire   +1 more source

Expensive Inequality Constraints Handling Methods Suitable for Dynamic Surrogate-based Optimization

2019 IEEE Congress on Evolutionary Computation (CEC), 2019
In modern engineering design optimization problems, high-fidelity analyses are always used for evaluating objectives and constraints, which might be quite expensive. Thus, efficient global optimization method should be developed to relieve the computational burden.
Chunna Li, Hai Fang, Chunlin Gong
openaire   +1 more source

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