Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a bilevel integer programming model that extends the classic 0–1 knapsack problem in a very natural way. The model describes a Stackelberg game where the leader’s decision interdicts a subset of the knapsack items for the follor. As this interdiction of items substantially increases the difficulty of the problem, it prevents the application of the classical methods for bilevel programming and of the specialized approaches that are tailored to other bilevel knapsack variants. Motivated by the simple description of the model, by its complexity, by its economic applications, and by the lack of algorithms to solve it,  design a novel viable way for computing optimal solutions. Finally,  present extensive computational results that show the effectiveness of the new algorithm on instances from the literature and on randomly generated instances.
['Alberto Caprara', 'Margarida Carvalho', 'Andrea Lodi', 'Gerhard J. Woeginger']
I am writing a research paper on a idea Bilevel Knapsack with Interdiction Constraints
[{"from": "human", "value": "I am writing a research paper on a idea Bilevel Knapsack with Interdiction Constraints"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a bilevel integer programming model that extends the classic 0\u20131 knapsack problem in a very natural way. The model describes a Stackelberg game where the leader\u2019s decision interdicts a subset of the knapsack items for the follor. As this interdiction of items substantially increases the difficulty of the problem, it prevents the application of the classical methods for bilevel programming and of the specialized approaches that are tailored to other bilevel knapsack variants. Motivated by the simple description of the model, by its complexity, by its economic applications, and by the lack of algorithms to solve it,  design a novel viable way for computing optimal solutions. Finally,  present extensive computational results that show the effectiveness of the new algorithm on instances from the literature and on randomly generated instances."}]