Table 2: The computational results with significant level 99% with 𝑁 = 1 5 .

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

5P1710.93061148167548167500.48
20.8829480208481682−0.311.25
30.78451734944014804532.97.45
P1810.875831468932484799−3.271.35
20.7849172483921490290−1.37.39
30.782182478213486726−1.757.82
P1910.822185474661489583−3.053.64
20.876231492274493018−0.151.34
30.9911248945048945000.1
P2010.931711477414484876−1.540.47
20.96186484856489912−1.030.24
30.819888470294484954−3.023.8
P2110.826179475885488262−2.543.38
20.811104476112487935−2.424.49
30.814897469153487822−3.834.18
P2210.915315473,148486493−2.740.64
20.858143473392488199−3.031.87
30.95237485532487360−0.370.3
P2310.930211458388478000−4.10.48
20.833469466110487007−4.292.95
30.8044118467295486801−4.015.08
P2410.862840480468491080−2.161.71
20.94818489292494369−1.030.33
30.98673476618491237−2.980.12

10P2510.94768939786981531−4.250.38
20.89362398503198503101.1
30.9821397963897963800.16
P2610.9061897965597965500.87
20.7792192955783981478−2.629.41
30.9547952918977462−2.510.33
P2710.921513955190984103−2.940.65
20.927212972096993049−2.110.58
30.872633960196983112−2.331.63
P2810.95127950604971759−2.180.35
20.84845297438597438502.54
30.910117973223974792−0.160.81
P2910.7854170936480978456−4.298.34
20.9871398034698034600.13
30.7638260947673978748−3.1812.73
P3010.782182949566970024−2.118.91
20.79314797276597276507.2
30.7929147969998970435−0.047.22
P3110.7887160962403978549−1.657.83
20.84575599097699097602.67
30.7747210979339979339010.27
P3210.874632971053985001−1.421.57
20.843257958486986493−2.842.8
30.98942977270985817−0.870.12

Average0.872967721720733644−1.73.19