Research Article

IHDETBO: A Novel Optimization Method of Multi-Batch Subtasks Parallel-Hybrid Execution Cloud Service Composition for Cloud Manufacturing

Table 2

The results of comparison test on 6 benchmark functions with different parameters settings.

Benchmark functionalgorithmN102050
D251025102510

f1IHDETBObest7.58E-1543.56E-681.11E-362.52E-1356.14E-541.27E-279.72E-1206.39E-478.65E-23
worst2.63E-1383.63E-558.63E-291.38E-1222.95E-483.64E-225.31E-1134.35E-434.44E-20
mean6.36E-1407.66E-575.76E-302.84E-1242.54E-491.46E-232.43E-1145.53E-445.47E-21
std3.68E-1395.07E-561.53E-291.93E-1236.60E-495.19E-238.54E-1149.57E-448.16E-21
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
PSObest0.00E+000.00E+002.78E+010.00E+000.00E+008.41E-010.00E+000.00E+002.76E-15
worst1.65E-435.00E+005.34E+032.03E-486.62E-301.62E+027.32E-556.56E-531.60E-03
mean4.17E-452.42E-019.88E+024.67E-503.42E-313.98E+015.41E-562.18E-544.60E-05
std2.34E-447.58E-019.09E+022.85E-491.23E-304.76E+011.47E-551.01E-532.27E-04
FE1.14E+041.23E+041.24E+042.22E+042.31E+042.42E+045.45E+045.45E+045.91E+04
DEbest4.55E-1111.73E-023.64E+011.83E-1135.16E-471.78E-155.66E-1129.89E-449.08E-20
worst2.68E-016.28E+022.42E+033.01E-1044.33E-064.66E+012.65E-1042.60E-401.11E-17
mean5.40E-035.57E+014.51E+027.63E-1069.90E-081.51E+001.07E-1052.41E-411.56E-18
std3.75E-021.03E+025.24E+024.24E-1056.11E-076.64E+004.31E-1054.91E-411.84E-18
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
TLBObest1.39E-2061.71E-1402.09E-1411.97E-1952.50E-1232.96E-1173.53E-1822.07E-1145.37E-87
worst1.68E-1893.79E-1313.74E-1301.10E-1775.87E-1168.28E-1104.21E-1745.35E-1092.22E-84
mean4.12E-1911.08E-1329.72E-1322.20E-1791.05E-1176.04E-1111.57E-1751.35E-1103.58E-85
std0.00E+005.65E-1325.27E-1310.00E+008.25E-1171.67E-1100.00E+007.51E-1105.36E-85
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04

f2IHDETBObest0.00E+001.44E-021.02E+000.00E+006.04E-042.27E+000.00E+001.39E-165.70E-03
worst3.18E-174.00E+007.30E+000.00E+005.72E-014.55E+000.00E+002.51E-014.01E+00
mean6.37E-195.27E-014.22E+000.00E+002.85E-013.72E+000.00E+003.40E-022.82E-02
std4.45E-186.57E-017.70E-010.00E+001.20E-013.11E-010.00E+005.54E-028.68E-01
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
PSObest0.00E+007.80E-051.00E+010.00E+000.00E+005.88E+000.00E+000.00E+007.65E-01
worst0.00E+004.63E+001.96E+020.00E+003.93E+005.76E+010.00E+003.93E+009.57E+00
mean0.00E+002.30E+004.18E+010.00E+003.15E-011.11E+010.00E+002.36E-015.57E+00
std0.00E+001.58E+003.48E+010.00E+001.07E+008.77E+000.00E+009.34E-012.22E+00
FE1.11E+041.24E+041.24E+042.16E+042.31E+042.42E+045.32E+045.49E+045.98E+04
DEbest0.00E+002.16E-026.77E+000.00E+001.27E-042.89E-010.00E+007.77E-301.63E+00
worst4.95E+008.75E+011.81E+022.97E-013.93E+002.59E+010.00E+001.06E+006.05E+05
mean2.48E-016.10E+004.40E+012.17E-021.32E+007.80E+000.00E+002.77E-014.19E+00
std7.36E-011.34E+013.47E+016.03E-021.10E+003.39E+000.00E+003.21E-011.24E+00
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
TLBObest5.03E-291.40E-045.18E+005.70E-292.73E-055.89E-019.67E-281.78E-051.03E-02
worst7.91E-212.06E+007.16E+003.08E-222.77E-015.11E+006.81E-243.60E-037.24E-01
mean3.27E-225.45E-016.49E+008.28E-247.20E-033.74E+002.66E-257.77E-048.77E-02
std1.31E-215.11E-014.53E-014.32E-233.86E-028.08E-019.64E-256.35E-041.23E-01
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04

f3IHDETBObest0.00E+000.00E+000.00E+000.00E+000.00E+008.30E-140.00E+000.00E+002.76E-11
worst0.00E+004.89E-152.82E-130.00E+004.89E-153.68E-110.00E+004.89E-154.25E-10
mean0.00E+003.82E-152.42E-140.00E+003.18E-154.71E-120.00E+002.26E-151.21E-10
std0.00E+001.63E-154.86E-140.00E+001.77E-157.58E-120.00E+001.56E-158.58E-11
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
PSObest0.00E+001.48E-065.34E+000.00E+000.00E+001.76E+000.00E+000.00E+001.16E+00
worst4.89E-157.50E+001.74E+010.00E+004.17E+001.25E+010.00E+002.32E+005.09E+00
mean1.47E-153.17E+001.06E+010.00E+001.02E+005.38E+000.00E+003.10E-012.88E+00
std6.96E-162.01E+002.71E+000.00E+002.00E+002.10E+000.00E+006.67E-019.53E-01
FE1.11E+041.22E+041.23E+042.16E+042.23E+042.41E+045.33E+045.40E+045.88E+04
DEbest0.00E+005.20E-032.72E+000.00E+000.00E+001.59E-100.00E+000.00E+001.56E-10
worst2.58E+001.41E+011.49E+010.00E+001.65E+002.58E+000.00E+004.89E-153.60E-09
mean5.87E-022.66E+008.67E+000.00E+006.58E-023.30E-010.00E+001.47E-159.13E-10
std3.62E-013.07E+002.59E+000.00E+003.23E-016.53E-010.00E+006.96E-166.01E-10
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
TLBObest0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+001.33E-15
worst4.89E-154.89E-158.44E-150.00E+004.89E-158.44E-150.00E+004.89E-154.89E-15
mean1.47E-154.03E-155.10E-150.00E+003.25E-155.03E-150.00E+003.32E-154.81E-15
std6.96E-161.52E-158.44E-120.00E+001.77E-159.95E-160.00E+001.76E-154.97E-16
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04

f4IHDETBObest0.00E+000.00E+002.27E-130.00E+000.00E+002.73E-110.00E+000.00E+001.39E-09
worst2.38E+024.75E+027.14E+021.18E+021.18E+023.57E+020.00E+000.00E+008.78E-08
mean2.37E+011.09E+023.02E+024.74E+001.42E+016.88E+010.00E+000.00E+001.71E-08
std5.31E+011.13E+021.84E+022.32E+013.85E+018.25E+010.00E+000.00E+001.65E-08
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
PSObest0.00E+001.23E-027.38E+020.00E+000.00E+004.85E+020.00E+001.18E+022.38E+02
worst3.57E+021.08E+032.54E+032.38E+028.69E+022.26E+031.18E+029.52E+021.92E+03
mean9.68E+015.72E+021.69E+038.29E+014.43E+021.39E+034.50E+013.88E+021.19E+03
std9.35E+012.41E+024.11E+027.21E+012.26E+023.85E+025.75E+011.89E+023.69E+02
FE1.08E+041.17E+041.23E+042.12E+042.18E+042.38E+045.21E+045.26E+045.59E+04
DEbest0.00E+003.86E-015.20E+020.00E+000.00E+001.18E+020.00E+000.00E+001.23E-02
worst2.74E+027.90E+021.82E+031.40E+026.25E+021.03E+030.00E+001.25E+021.26E+03
mean6.52E+013.94E+021.15E+031.80E+011.94E+025.98E+020.00E+001.32E+014.76E+02
std6.93E+011.93E+022.83E+024.23E+011.83E+022.34E+020.00E+003.62E+013.10E+02
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
TLBObest0.00E+001.18E+027.13E+020.00E+000.00E+003.55E+020.00E+000.00E+001.25E+02
worst2.39E+027.15E+021.58E+031.18E+026.51E+021.28E+030.00E+003.55E+021.04E+03
mean3.08E+013.22E+021.28E+031.18E+011.93E+027.33E+020.00E+007.88E+015.35E+02
std5.20E+011.52E+022.23E+023.55E+011.29E+022.16E+020.00E+009.06E+011.86E+02
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04

f5IHDETBObest0.00E+000.00E+003.92E-070.00E+000.00E+001.30E-050.00E+009.58E-136.32E-04
worst7.40E-031.72E-023.20E-020.00E+001.12E-052.84E-020.00E+001.75E-052.18E-02
mean1.48E-042.70E-037.90E-030.00E+006.10E-077.20E-030.00E+008.31E-078.80E-03
std1.00E-034.70E-037.80E-030.00E+002.23E-066.20E-030.00E+002.69E-065.50E-03
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
PSObest0.00E+007.88E-022.67E+000.00E+003.45E-021.95E-010.00E+007.40E-038.42E-02
worst7.89E-023.16E+007.86E+016.66E-028.06E-011.16E+013.95E-024.43E-011.37E+00
mean1.40E-024.95E-011.36E+019.20E-032.46E-011.70E+002.50E-031.60E-013.62E-01
std1.69E-025.05E-011.22E+011.37E-021.50E-011.81E+006.20E-039.92E-023.47E-01
FE1.09E+041.22E+041.23E+042.12E+042.20E+002.40E+045.22E+045.30E+045.89E+04
DEbest0.00E+003.41E-027.99E-010.00E+007.40E-039.90E-030.00E+002.80E-031.21E-09
worst5.75E-016.62E+003.85E+011.33E-021.58E-016.43E-010.00E+008.85E-024.96E-01
mean3.19E-026.20E-019.95E+001.20E-034.47E-028.61E-020.00E+004.52E-021.94E-01
std8.11E-021.17E+007.67E+003.00E-033.19E-021.00E-010.00E+001.98E-021.50E-01
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
TLBObest0.00E+002.28E-080.00E+000.00E+002.90E-030.00E+000.00E+007.66E-080.00E+00
worst7.40E-031.11E-011.69E-012.80E-037.15E-026.89E-028.72E-085.15E-024.92E-02
mean9.32E-043.86E-021.28E-021.17E-043.08E-029.90E-031.74E-091.76E-029.60E-03
std2.20E-032.87E-022.81E-025.42E-041.50E-021.74E-021.22E-081.08E-021.37E-02
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04

f6IHDETBObest0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+001.88E-13
worst0.00E+002.98E+003.98E+000.00E+009.95E-019.95E-010.00E+000.00E+005.38E-11
mean0.00E+002.79E-011.21E+000.00E+005.97E-021.99E-020.00E+000.00E+005.02E-12
std0.00E+005.98E-011.22E+000.00E+002.36E-011.39E-010.00E+000.00E+008.67E-12
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
PSObest0.00E+000.00E+001.27E+010.00E+000.00E+004.44E+000.00E+000.00E+002.00E+00
worst1.99E+003.08E+015.97E+019.95E-012.69E+014.12E+019.95E-011.09E+013.68E+01
mean4.18E-017.14E+003.59E+012.39E-015.63E+002.21E+013.98E-023.78E+001.44E+01
std5.30E-015.89E+001.16E+014.25E-014.20E+008.63E+001.95E-012.43E+007.14E+00
FE1.09E+041.22E+041.23E+042.12E+042.19E+042.40E+045.21E+045.30E+045.83E+04
DEbest0.00E+007.53E-023.25E+000.00E+000.00E+001.17E+000.00E+000.00E+001.22E+01
worst1.25E+001.77E+014.27E+010.00E+002.98E+002.12E+010.00E+001.13E-023.27E+01
mean3.19E-013.80E+001.64E+010.00E+005.40E-015.58E+000.00E+002.27E-042.34E+01
std4.60E-012.81E+008.16E+000.00E+007.31E-013.63E+000.00E+001.60E-035.54E+00
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04
TLBObest0.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+000.00E+002.47E-12
worst0.00E+003.98E+001.19E+010.00E+001.99E+001.39E+010.00E+009.95E-015.97E+00
mean0.00E+008.65E-014.91E+000.00E+003.24E-014.32E+000.00E+002.04E-022.05E+00
std0.00E+001.27E+003.02E+000.00E+005.10E-012.81E+000.00E+001.39E-011.53E+00
FE1.00E+041.00E+041.00E+042.00E+042.00E+042.00E+045.01E+045.01E+045.01E+04