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- W4382791704 abstract "Optimizing a function over an efficient set is an interesting approach in decision-making situations. It helps a decision-maker to discriminate among efficient solutions and choose his preferred solution. In this paper, ranked solutions of an integer linear programming problem are utilized for optimizing a linear function over an efficient set of a multi-objective integer linear programming problem ($ MOILP $). For enumerating ranked solutions of an integer linear programming problem, successive optimization of an integer linear programming problem is used. Theoretically, we have shown that the proposed algorithms optimize a linear function over an efficient set of a $ MOILP $ in a finite number of iterations. We have compared the working of proposed algorithms with existing algorithms using a numerical example taken from the literature. We have also included a comparison with existing methods based on computational experiments using large number of variables and objectives." @default.
- W4382791704 created "2023-07-02" @default.
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- W4382791704 date "2023-01-01" @default.
- W4382791704 modified "2023-10-01" @default.
- W4382791704 title "Optimization of a linear function over an integer efficient set" @default.
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- W4382791704 doi "https://doi.org/10.3934/jimo.2023055" @default.
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