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Additive and multiplicative tolerance in multiobjective linear programming
Authors:Milan Hladí  k
Affiliation:Charles University, Department of Applied Mathematics, Malostranské nám. 25, 118 00, Prague, Czech Republic
Abstract:We consider a multiobjective linear program. We propose a procedure for computing an additive and multiplicative (percentage) tolerance in which all the objective function coefficients may simultaneously and independently vary while preserving the efficiency of a given solution. For a nondegenerate basic solution, the procedure runs in polynomial time.
Keywords:Multiobjective linear programming   Efficient point   Sensitivity analysis   Tolerance analysis   Generalized fractional programming
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