Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems

@article{Wu2011GlobalOC,
title={Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems},
author={Zhi-You Wu and Y. Yang and F. Bai and M. Mammadov},
journal={Journal of Optimization Theory and Applications},
year={2011},
volume={151},
pages={241-259}
}

The quadratic knapsack problem (QKP) maximizes a quadratic objective function subject to a binary and linear capacity constraint. Due to its simple structure and challenging difficulty, it has been studied intensively during the last two decades. This paper first presents some global optimality conditions for (QKP), which include necessary conditions and sufficient conditions. Then a local optimization method for (QKP) is developed using the necessary global optimality condition. Finally a… Expand