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First Order Convergence Analysis for Sparse Grid Method in Stochastic Two-Stage Linear Optimization Problem
Convergence Analysis Stochastic Optimization Scenario Generation Convex Analysis Measure Theory
2013/1/30
Stochastic two-stage linear optimization is an important and widely used optimization model. Efficiency of numerical integration of the second stage value function is critical. However, the second sta...
A Generalization of the Quasiconvex Optimization Problem
Quasiconvex Optimization Problem instead of functions convex minimization problem
2009/2/5
In this paper the quasiconvex minimization problem is included in a problem defined by sets (instead of functions). Lagrangian conditions for both problems are then studied and related. Lagrangian con...
Lipschitz Continuity of the State Function in a Shape Optimization Problem
Lipschitz State Function Optimization Problem
2009/1/20
This paper deals with the existence and the regularity of state function $u$ in an $N$-dimensional shape optimization problem. We use a variational approach to get the existence of a solution $u$ of a...
Solution of the topology optimization problem based subdomains method
the topology optimization problem subdomains method
2010/9/14
In topology optimization problems, we are often forced to deal with large-scale numerical problems, so that the domain decomposition method occurs naturally. Consider a typical topology optimization p...
Exact solution of a constrained optimization problem in thermoelectric cooling
Optimization Constrained nonlinear functional optimization
2010/9/10
We consider an optimization problem in thermoelectric cooling. The maximum achievable cooling temperature in thermoelectric cooling is, among other things, affected by the Seebeck coefficient profile ...
An effective decision-based genetic algorithm approach to multiobjective portfolio optimization problem
Multiobjective Portfolio Optimization Genetic Algorithm
2010/9/15
Multiobjective portfolio optimization problem is the portfolio process of the highest expected return among the various financial commodities of the capital market to meet the expected return objectiv...
AN SQP ALGORITHM WITH NONMONOTONE LINE SEARCH FOR GENERAL NONLINEARCONSTRAINED OPTIMIZATION PROBLEM
2007/12/11
In this paper, an SQP type algorithm with a new nonmonotone line search
technique for general constrained optimization problems is presented.
The new algorithm does not have to solve the second orde...
The Model for Two-dimensional Layout Optimization Problem with Performance Constraints and Its Optimality Function
Two-dimensional layout problem semi-infinite optimization optimality function
2007/12/11
This paper studies the two-dimensional layoutoptimization problem. An optimization model with performanceconstraints is presented. The layout problem is partitioned intofinite subproblems in terms of ...