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An approach for multiobjecive linear plus linear fractional programming problem. (English) Zbl 1399.90244

Summary: In this paper, we develope an algorithm for solving a multiobjective linear plus linear fractional programming problem using Taylor’s theorem and review some results. In the proposed approach each objective function is transformed into approximate linear function by using Taylor’s theorem. Then the MOLLFP changed into equivalent multiobjective linear programming problem (MOLP) and then it can be solved as equal weighted multiobjective linear programming problem. This reduces the computational complexity and yields an efficient solution.

MSC:

90C29 Multi-objective and goal programming
90C32 Fractional programming
90C05 Linear programming
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