Research Article

An Improved Adaptive Human Learning Optimization Algorithm with Reasoning Learning

Table 14

The results of all the algorithms on the multidimensional knapsack problems (MKPs).

ProblemAlgorithmBestMeanWorstStdt-TestW-test

10.500.0AHLORL113770.0112515.5111112.0520.6
HLORL113392.0111882.3110844.0508.911
IAHLO103981.0101229.499509.0817.311
SCHLO110985.0109034.1106690.0819.411
SFPSO105522.0103397.399615.01083.611
BGWO98719.094972.491396.01452.811
BAAA109324.0107065.6102318.01361.211
IBDE98658.095399.193779.0932.211

10.500.1AHLORL115343.0114185.3112536.0536.1
HLORL114829.0113352.3112249.0510.111
IAHLO104791.0102300.299872.0883.311
SCHLO112654.0110545.4108797.0880.011
SFPSO107092.0104492.1101672.01032.711
BGWO98755.095498.891153.01340.111
BAAA111014.0108443.1104757.01118.711
IBDE98355.095931.393363.01019.011

10.500.2AHLORL115115.0114113.1113027.0482.8
HLORL114597.0113382.7112109.0470.011
IAHLO104090.0102071.799972.0799.111
SCHLO112137.0110417.4108348.0756.711
SFPSO107126.0104349.0102060.01037.511
BGWO98531.095154.791693.01459.011
BAAA110563.0108404.6105710.01060.511
IBDE98484.095936.193732.0925.011

10.500.3AHLORL115177.0113690.2112607.0501.9
HLORL114500.0113000.5111978.0490.911
IAHLO103401.0101526.799638.0783.111
SCHLO111905.0109826.5107634.0855.711
SFPSO105730.0103726.9101340.0910.611
BGWO97955.095011.991703.01370.711
BAAA110349.0107690.8104607.01147.711
IBDE98176.095512.393028.0986.611

10.500.4AHLORL112734.0111477.5110234.0438.7
HLORL112142.0110843.5109754.0488.211
IAHLO102241.0100001.597861.0935.111
SCHLO109843.0108015.9105552.0859.611
SFPSO105108.0102428.199452.01134.111
BGWO97090.093680.890287.01443.411
BAAA108672.0106086.9103229.01054.511
IBDE96521.093964.092109.0981.011

10.500.5AHLORL115816.0114534.9113008.0545.9
HLORL115172.0113916.6112556.0466.111
IAHLO103176.0101530.9100124.0721.411
SCHLO112958.0110823.1108643.0943.811
SFPSO107709.0104292.7102048.01154.511
BGWO98901.094952.690938.01504.211
BAAA110665.0108352.3105058.01003.011
IBDE97354.094899.592461.01007.211

10.500.6AHLORL115971.0114783.5113426.0486.1
HLORL115261.0114186.3112740.0497.911
IAHLO104943.0102615.8100549.0828.711
SCHLO113446.0111451.9109636.0802.911
SFPSO106527.0105021.0101896.0994.411
BGWO99483.095590.091570.01533.411
BAAA111964.0109092.6106503.01107.511
IBDE98693.095908.393870.01067.911

10.500.7AHLORL114142.0113243.2112113.0459.7
HLORL113305.0112510.0111271.0420.611
IAHLO103489.0101443.499754.0864.611
SCHLO111576.0109702.2107436.0883.511
SFPSO105719.0103562.6100190.01078.611
BGWO98657.094523.591059.01421.611
BAAA109896.0107575.2104160.01096.911
IBDE98332.095295.192864.0959.811

10.500.8AHLORL113833.0112635.4111321.0504.6
HLORL112964.0112040.4110359.0508.311
IAHLO103400.0101125.599572.0823.211
SCHLO111031.0109272.2105571.0924.411
SFPSO105540.0103384.4100600.01019.111
BGWO97854.094697.991237.01402.811
BAAA109954.0107151.7103881.01249.511
IBDE98882.095393.993069.01043.711

10.500.9AHLORL114983.0114184.6113012.0434.7
HLORL114788.0113580.5112484.0474.311
IAHLO104168.0102295.6100085.0786.611
SCHLO112202.0110479.1108249.0839.411
SFPSO107208.0104519.9101627.01204.711
BGWO98752.095404.391729.01425.111
BAAA110823.0108415.5102170.01339.611
IBDE98965.096162.194342.0952.511

10.500.10AHLORL212879.0211667.0210108.0515.8
HLORL212239.0210406.5208933.0557.111
IAHLO203992.0201407.8199591.0784.811
SCHLO209760.0208011.5205448.0976.911
SFPSO207024.0203787.1200739.0923.211
BGWO195031.0189837.5186272.01707.411
BAAA209238.0207181.9204201.01040.111
IBDE193836.0190033.6187542.01138.611

10.500.11AHLORL214822.0213715.3211772.0516.5
HLORL214022.0212461.0211032.0578.311
IAHLO204449.0202539.6200745.0720.411
SCHLO212097.0209782.1208038.0762.911
SFPSO207488.0205121.6202628.0933.211
BGWO193401.0190283.1186498.01569.511
BAAA211544.0208978.8206337.0994.111
IBDE192953.0190320.0188121.01074.311

10.500.12AHLORL213703.0212376.1211168.0514.3
HLORL212398.0211141.2209222.0580.311
IAHLO204266.0201329.4199793.0794.911
SCHLO210798.0208467.0206135.0978.111
SFPSO206413.0203802.0201967.0927.511
BGWO192662.0189101.0186318.01504.811
BAAA209650.0207360.8203869.01273.611
IBDE191857.0189242.2187582.0912.211

10.500.13AHLORL212625.0211482.2209900.0489.5
HLORL211326.0210310.1209271.0498.511
IAHLO202212.0200167.8197838.0820.211
SCHLO209298.0207633.1205217.0908.611
SFPSO205407.0202710.3199971.01025.411
BGWO191428.0187601.5183122.01731.411
BAAA209058.0206739.7203571.01217.111
IBDE191141.0187978.1185301.01135.011

10.500.14AHLORL209743.0208596.5207667.0460.2
HLORL208863.0207382.8206203.0562.911
IAHLO200131.0198124.2196529.0849.111
SCHLO206980.0204761.5202417.0854.011
SFPSO202602.0200608.0198290.0996.211
BGWO189680.0186146.3182509.01479.111
BAAA206637.0204316.4200682.01035.211
IBDE189184.0186891.2184202.01053.811

10.500.15AHLORL210871.0209569.9207919.0564.3
HLORL209850.0208598.7206823.0553.611
IAHLO200124.0198504.7196616.0782.211
SCHLO208065.0205853.3203907.0949.911
SFPSO203250.0200889.3198190.0920.711
BGWO190424.0186044.0180941.01762.411
BAAA207532.0204522.0201071.01296.211
IBDE189469.0186533.5184525.01009.211

10.500.16AHLORL213979.0212733.5211607.0447.9
HLORL212788.0211584.1210003.0551.211
IAHLO204257.0201416.1199614.0884.611
SCHLO210549.0208953.1206989.0824.811
SFPSO206749.0204229.6201470.0989.111
BGWO193898.0188963.6183804.01906.911
BAAA210623.0207895.1204029.01334.911
IBDE192404.0189239.5187040.01112.411

10.500.17AHLORL216086.0214444.2213022.0584.7
HLORL214649.0213125.9212126.0532.011
IAHLO205296.0203324.2201504.0818.611
SCHLO212509.0210242.7208412.0877.811
SFPSO207927.0205715.2203416.0837.511
BGWO196171.0191007.8187060.01875.311
BAAA212163.0209648.1206546.01139.511
IBDE196214.0191684.0189545.0975.811

10.500.18AHLORL210263.0208878.4207740.0508.1
HLORL209673.0207895.3206792.0488.911
IAHLO200589.0198119.2195967.0812.711
SCHLO207557.0205288.4202595.0866.111
SFPSO203146.0200614.0198019.0976.611
BGWO190317.0185829.2181380.01766.611
BAAA206481.0204376.6199841.01147.811
IBDE189435.0186275.1184217.01009.311

10.500.19AHLORL216256.0214914.9213692.0506.7
HLORL215023.0213617.5212300.0590.911
IAHLO206333.0204386.1201917.0833.511
SCHLO212876.0210941.3208463.0978.611
SFPSO209270.0206606.9203959.0949.311
BGWO195908.0192282.2188736.01445.611
BAAA213062.0210214.8207258.01105.211
IBDE195994.0192959.8191050.01064.311

10.500.20AHLORL302215.0301298.5300236.0425.6
HLORL301585.0300838.4300115.0366.411
IAHLO292406.0290153.6288741.0719.511
SCHLO300292.0298668.5296817.0656.611
SFPSO294739.0292406.7290576.0951.711
BGWO287155.0284406.9281145.01408.711
BAAA298427.0296235.6293445.0882.211
IBDE285664.0283137.3280969.01048.111

10.500.21AHLORL300047.0299211.0298122.0405.6
HLORL299638.0298799.1297873.0327.111
IAHLO289863.0288335.8286770.0677.911
SCHLO298287.0296598.2294000.0740.711
SFPSO292800.0290481.4287934.0863.611
BGWO286431.0282791.7279058.01648.111
BAAA296665.0294396.9292360.0880.011
IBDE284002.0281474.2279179.0928.311

10.500.22AHLORL300385.0299216.8298454.0349.2
HLORL299515.0298766.9297999.0330.411
IAHLO291114.0288994.8286745.0710.211
SCHLO298391.0296598.6295026.0688.511
SFPSO292972.0290987.8288860.0807.311
BGWO287567.0283495.6280420.01557.711
BAAA296630.0294581.2291335.0951.911
IBDE284770.0282112.8280297.0954.011

10.500.23AHLORL298371.0297631.9296972.0351.0
HLORL298305.0297154.6296254.0402.611
IAHLO288461.0286591.8284931.0735.811
SCHLO296509.0295004.6292914.0646.811
SFPSO291285.0288761.1285978.0893.411
BGWO284344.0280812.0277107.01410.511
BAAA294646.0292441.2289923.0930.511
IBDE282517.0279893.4277913.0991.911

10.500.24AHLORL301958.0301178.2300267.0364.3
HLORL301937.0300726.7299962.0397.611
IAHLO291715.0289829.9287890.0755.711
SCHLO300078.0298565.6296701.0757.811
SFPSO293581.0292161.5289638.0809.611
BGWO287947.0283995.3280454.01566.011
BAAA298585.0295992.7294506.0837.111
IBDE285550.0283100.8280529.01065.311

10.500.25AHLORL299260.0298446.4297617.0335.9
HLORL298901.0297980.0297156.0372.211
IAHLO290256.0288533.4286662.0759.211
SCHLO297688.0295979.4294106.0644.711
SFPSO292616.0290445.8288062.0867.311
BGWO286462.0283057.1279369.01295.011
BAAA295892.0293902.7290951.0961.411
IBDE285118.0282043.4279656.01006.011

10.500.26AHLORL303031.0301745.0301001.0371.9
HLORL302049.0301300.9300374.0361.911
IAHLO293550.0290964.8289203.0748.511
SCHLO300923.0299336.0297649.0609.411
SFPSO295285.0293236.9290848.0846.711
BGWO288028.0285192.2280841.01441.511
BAAA298930.0296835.7294529.0877.211
IBDE287349.0283893.9281788.01073.611

10.500.27AHLORL294409.0293232.0292501.0378.3
HLORL293538.0292822.7291939.0334.311
IAHLO285759.0283169.4281179.0759.511
SCHLO292222.0290747.6289393.0644.211
SFPSO286925.0285025.9282668.0858.511
BGWO280920.0277702.1273044.01518.911
BAAA290489.0288805.8287020.0818.911
IBDE279027.0276672.2273862.0959.211

10.500.28AHLORL299442.0298382.7297751.0347.8
HLORL298678.0297848.4296912.0364.111
IAHLO290118.0287148.3285486.0739.911
SCHLO297333.0295810.7293097.0730.511
SFPSO291563.0289273.7286573.0932.511
BGWO285815.0281373.3277453.01529.911
BAAA295388.0293188.0290847.01029.911
IBDE283464.0280183.5277694.01048.911

10.500.29AHLORL304836.0303754.2303009.0351.8
HLORL304383.0303361.8302190.0387.911
IAHLO295204.0292865.5290276.0872.511
SCHLO303018.0301395.3299597.0712.211
SFPSO297197.0294974.5292606.0958.211
BGWO290420.0286599.3283284.01725.211
BAAA300634.0298845.4296797.0929.411
IBDE289072.0285729.0283654.0968.111