Table 3: The computational results with significant level 99% with 𝑁 = 3 0 .

𝑇 Problem numberBudgetAverage probabilitiesNRBest solutionBest solution by Sahin et al. [26]% Dev.Average time

5P3310.887166576451577086−0.1110.27
20.96111357970457970400.79
30.92564457749357749302.76
P3410.958814551951571846−3.480.86
20.9952559139572396−2.320.15
30.9009103556359570,537−2.496.39
P3510.8387899566291579113−2.2155.76
20.8735264556438579406−3.9616.37
30.887166566301574225−1.3810.28
P3610.98245557872572964−2.630.32
20.97318554936578631−4.090.49
30.926244545506569880−4.282.7
P3710.922450552347559934−1.353.08
20.956815551905559078−1.280.92
30.937929555069559506−0.791.81
P3810.98884544879569457−4.320.23
20.94126559640567166−1.331.62
30.8689310546839567749−3.6819.2
P3910.8817199569470569470012.33
20.784367405705215705210417.85
30.937430563648569382−1.011.84
P4010.9923556582579411−3.940.19
20.92742565906586310−3.482.63
30.941326560792577719−2.931.61

10P4110.92913911337431171634−3.232.88
20.986411556471172520−1.440.32
30.91985411290681171500−3.623.96
P4210.94752111666131174896−0.711.52
20.9661111375781175998−3.270.77
30.94572211628381177009−1.21.62
P4310.9223501169208116920803.63
20.873926011796601179660019.01
30.886716711346771164129−2.5312.23
P4410.90858011405981151468−0.945.81
20.78546462115287411528740471.72
30.91237011220061147234−2.25.11
P4510.9703911148611127044−1.080.65
20.85845311418811141881033.09
30.878122511284721129703−0.1116.44
P4610.876224011320991146000−1.2117.55
20.78676149115469111546910448.88
30.858344911450441145858−0.0732.75
P4710.7788585121057312105730626.71
20.9444231210573121057301.7
30.89371321210573121057309.62
P4810.77868389119904811891540.83612.37
20.87227811528961201885−4.0820.3
30.90031051181360118136007.68

Average0.9076864858596870759−1.5863.02