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Surrogate Based Method for Evaluation of Failure Probability under Multiple Constraints
SIAM Journal on Scientific Computing, 2014In 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
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Surrogate Constraint Methods for Linear Inequalities
1992Systems 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
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Asymptotic surrogate constraint method and its convergence for a class of semi-infinite programming
Applied Mathematics-A Journal of Chinese Universities, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan, Zhongping, Wu, Guoming
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Electronics and Communications in Japan (Part I: Communications), 1988
AbstractThis paper presents a solution method for the reliability optimization problem of systems which is formulated as a mixed‐integer nonlinear programming problem with multiple constraints. The system structure is series, series‐parallel, or complex.
Mitsunori Hikita +3 more
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AbstractThis paper presents a solution method for the reliability optimization problem of systems which is formulated as a mixed‐integer nonlinear programming problem with multiple constraints. The system structure is series, series‐parallel, or complex.
Mitsunori Hikita +3 more
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Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012
Many optimization problems that frequently arise and have been extensively used in practice are modeled as linear mixed-integer programming problems. Among the many of such problems are transportation and assignment problems. In such problems, constraints that couple decision variables can be viewed as hyperplanes in their respective spaces.
Mikhail A. Bragin +2 more
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Many optimization problems that frequently arise and have been extensively used in practice are modeled as linear mixed-integer programming problems. Among the many of such problems are transportation and assignment problems. In such problems, constraints that couple decision variables can be viewed as hyperplanes in their respective spaces.
Mikhail A. Bragin +2 more
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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 ...
Junichi Onishi +3 more
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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 ...
Junichi Onishi +3 more
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Zero duality gap in integer programming: P-norm surrogate constraint method
Operations Research Letters, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A block-iterative surrogate constraint splitting method for quadratic signal recovery
IEEE Transactions on Signal Processing, 2003A 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.
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European Journal of Operational Research, 2013
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THE SYSTEM RELIABILITY OPTIMIZATION PROBLEMS BY USING AN IMPROVED SURROGATE CONSTRAINT METHOD
Advanced Reliability Modeling, 2004SAKUO KIMURA +3 more
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