Journal ArticleDOI
Solving Bilevel Programming Problems Using a Neural Network Approach and Its Application to Power System Environment
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TLDR
The proposed method leads the mixed integer quadratic bilevel programming problem to a global optimal solution and a numerical example is used to illustrate the application of the method in a power system environment, which shows that the algorithm is feasible and advantageous.Abstract:
In this paper, a hybrid neural network approach to solve mixed integer quadratic bilevel programming problems is proposed. Bilevel programming problems arise when one optimization problem, the uppe...read more
Citations
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Journal ArticleDOI
Application of Neural Network Models for Mathematical Programming Problems: A State of Art Review
TL;DR: The state of art literature review on the use of NNs for solving MPPs with constructive analysis is presented to elaborate future research scope and new directions in this area for future researchers.
Journal ArticleDOI
Co-evolutionary algorithm: An efficient approach for bilevel programming problems
Hecheng Li,Lei Fang +1 more
TL;DR: An efficient universal co-evolutionary algorithm is developed in this article to deal with various bilevel programming problems and can efficiently reduce the computational cost of obtaining feasible solutions.
Proceedings Article
Service cost optimization in supply balance of sustainable power generation
TL;DR: Large scale systems can provide a solution to overcome sustainable service problem but are costly, a sufficient design will cause outages that lead to certain cost losses on the customer side and planning a reasonable size is a major dilemma.
Journal ArticleDOI
Structural Learning of Boltzmann Machine and its Application
TL;DR: The structural learning of Boltzmann machine is proposed to solve the problem defined in terms of mixed integer quadratic programming and enables a more effective selection of results and enhanced the effectiveness of the decision making process.
References
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Journal ArticleDOI
A Branch and Bound Algorithm for the Bilevel Programming Problem
Jonathan F. Bard,James T. Moore +1 more
TL;DR: An algorithm for solving the linear/quadratic case of the bilevel programming problem is reformulated as a standard mathematical program by exploiting the follower's Kuhn–Tucker conditions.
Journal ArticleDOI
Fuzzy approach for multi-level programming problems
TL;DR: The concepts of tolerance membership functions and multiple objective optimization are used to develop a fuzzy approach for solving multi-level programming problems with multiple decision makers in a hierarchical organization.
Journal ArticleDOI
Genetic-Algorithms-Based Approach for Bilevel Programming Models
TL;DR: A genetic-algorithms-based (GAB) approach is proposed to efficiently solve bilevel programming models and it is believed that this approach can more likely achieve the global optimum based on the globality and parallelism of genetic algorithms.
Journal ArticleDOI
Descent approaches for quadratic bilevel programming
TL;DR: This paper introduces two descent methods for a special instance of bileVEL programs where the inner problem is strictly convex quadratic and it is proved that checking local optimality in bilevel programming is a NP-hard problem.
Journal ArticleDOI
A Bilevel Stochastic Programming Approach for Retailer Futures Market Trading
TL;DR: In this paper, a retailer decides its level of involvement in the futures market and in the pool as well as the selling price offered to its potential clients with the goal of maximizing the expected profit at a given risk level.