Skip to main content

Table 2 Results in this paper comparing with the references

From: Solving linear bilevel multiobjective programming problem via exact penalty function approach

Examples in this paper

The Pareto optimal solution and the upper level objective value obtained in this paper

The Pareto optimal solution and the upper level objective value given in the references

Example 2

\((x^{*},y^{*})=(144.2,26.8,2.97,67.7,0)\)

\((x^{*},y^{*})=(146.30,28.94,0,67.93,0)\)

\(F(x^{*},y^{*})=(482.7,1\mbox{,}831.4)\)

\(F(x^{*},y^{*})=(474.7,1\mbox{,}850.1)\)

Example 3

\((x^{*},y^{*})=(0.6,2.4,0,0)\)

\((x^{*},y^{*})=(1.5,1.5,4.1,3.4)\)

\(F(x^{*},y^{*})=(5.4,4.2)\)

\(F(x^{*},y^{*})=(4.5,6.0)\)