Multiobjective Two-Stage Stochastic Programming Problems with Interval Discrete Random Variables

Table 2

Optimal solution for Case  2.

Types of problem	Weights		Optimal decision variables	Value of the objective function
	𝑤1	𝑤2
Case  2	0.1	0.9	𝑥1=5.692308,𝑥2=0,𝑥3=3.384615,𝑥4=0	𝐹̆^Best2=104.5446
			𝑥1=4,𝑥2=0,𝑥3=0,𝑥4=2	𝐹̆^Worst2=58.36
	0.2	0.8	𝑥1=5.692308,𝑥2=0,𝑥3=3.384615,𝑥4=0	𝐹̆^Best2=107.2831
			𝑥1=4,𝑥2=0,𝑥3=0,𝑥4=2	𝐹̆^Worst2=60.76
	0.3	0.7	𝑥1=5.692308,𝑥2=3.384615,𝑥3=0,𝑥4=0	𝐹̆^Best2=111.3754
			𝑥1=6.667,𝑥2=0,𝑥3=0,𝑥4=0	𝐹̆^Worst2=63.2933
	0.4	0.6	𝑥1=5.692308,𝑥2=3.384615,𝑥3=0,𝑥4=0	𝐹̆^Best2=116.8215
			𝑥1=5,𝑥2=2,𝑥3=0,𝑥4=0	𝐹̆^Worst2=66.76
	0.5	0.5	𝑥1=5.692308,𝑥2=3.384615,𝑥3=0,𝑥4=0	𝐹̆^Best2=122.2677
			𝑥1=5,𝑥2=2,𝑥3=0,𝑥4=0	𝐹̆^Worst2=70.46
	0.6	0.4	𝑥1=5.692308,𝑥2=3.384615,𝑥3=0,𝑥4=0	𝐹̆^Best2=127.7138
			𝑥1=5,𝑥2=2,𝑥3=0,𝑥4=0	𝐹̆^Worst2=74.16
	0.7	0.3	𝑥1=5.692308,𝑥2=3.384615,𝑥3=0,𝑥4=0	𝐹̆^Best2=133.16
			𝑥1=5,𝑥2=2,𝑥3=0,𝑥4=0	𝐹̆^Worst2=77.86
	0.8	0.2	𝑥1=5.692308,𝑥2=3.384615,𝑥3=0,𝑥4=0	𝐹̆^Best2=138.6062
			𝑥1=5,𝑥2=2,𝑥3=0,𝑥4=0	𝐹̆^Worst2=81.56
	0.9	0.1	𝑥1=5.692308,𝑥2=3.384615,𝑥3=0,𝑥4=0	𝐹̆^Best2=144.0523
			𝑥1=5,𝑥2=2,𝑥3=0,𝑥4=0	𝐹̆^Worst2=85.26