Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with the problem of inaccuracy of the solutions generated by metaheuristic approaches for combinatorial optimization bi-criteria {0, 1}-knapsack problems. A hybrid approach which combines systematic and heuristic searches is proposed to reduce that inaccuracy in the context of a scatter search method. The components of this method are used to determine regions in the decision space to be systematically searched.#R##N##R##N#Comparisons with small and medium size instances solved by exact methods are presented. Large size instances are also considered and the quality of the approximation is evaluated by taking into account the proximity to the upper frontier, devised by the linear relaxation, and the diversity of the solutions. Comparisons with other two ll-known metaheuristics are also performed.#R##N##R##N#The results show the effectiveness of the proposed approach for both small/medium and large size instances.
['Carlos Gomes da Silva', 'José Rui Figueira', 'João C. N. Clímaco']
I am writing a research paper on a idea Integrating partial optimization with scatter search for solving bi-criteria {0,1}-knapsack problems
[{"from": "human", "value": "I am writing a research paper on a idea Integrating partial optimization with scatter search for solving bi-criteria {0,1}-knapsack problems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with the problem of inaccuracy of the solutions generated by metaheuristic approaches for combinatorial optimization bi-criteria {0,\u00a01}-knapsack problems. A hybrid approach which combines systematic and heuristic searches is proposed to reduce that inaccuracy in the context of a scatter search method. The components of this method are used to determine regions in the decision space to be systematically searched.#R##N##R##N#Comparisons with small and medium size instances solved by exact methods are presented. Large size instances are also considered and the quality of the approximation is evaluated by taking into account the proximity to the upper frontier, devised by the linear relaxation, and the diversity of the solutions. Comparisons with other two ll-known metaheuristics are also performed.#R##N##R##N#The results show the effectiveness of the proposed approach for both small/medium and large size instances."}]