All error measurements in Table 6 show that all dominated points (DP-2) obtained with the

All error measurements in Table 6 show that all dominated points (DP-2) obtained with the Approximated Model are fairly close to the exact set of non-dominated points (on average at most 1 in GTC or MTC, as outlined by norm). For the exact same groups of real and fictitious instances, Table 7 adds the following notation: N: Quantity of executions inside the AUGMECON2 algorithm (i.e., a mono-objective optimization); Time: Total computing time for you to complete the N executions; 1: Relative variation within the indicator Time/N (Exact vs. Approximated), which relates to the time variation when solving a mono-objective optimization dilemma; two: Relative variation within the indicator Time/NDP-0 (Exact vs. Approximated), which relates for the time variation for getting non-dominated points before the GTC recomputation; 3: Relative variation inside the indicator Time/NDP-1 (Carbenicillin disodium In stock Precise vs. Approximated), which relates for the time variation for acquiring non-dominated points just after the GTC re-computation. Notice that NDP = NDP-0 = NDP-1 for the Precise Formulation, because the nondominated points obtained together with the Exact Formulation basically belong towards the Precise Pareto Front.Mathematics 2021, 9,23 ofTable six. Summary from the performance indicators.DA2NDP Avg. GTC Error three.86 3.54 3.19 three.56 4.12 4.04 3.12 4.39 three.52 three.75 3.71 3.12 four.39 7.70 8.55 7.05 six.97 7.16 7.89 eight.14 six.99 7.85 7.96 7.63 six.97 8.55 |NDP-1| / |NDP-0| 48.84 54.95 53.76 51.06 46.43 55.56 52.63 49.30 54.95 37.61 50.51 37.61 55.56 29.25 38.11 43.04 37.36 39.10 36.75 35.07 35.49 40.32 41.88 37.64 29.25 43.04 |NDP-1| / |NDP| 59.15 55.45 55.56 52.75 65.00 61.64 56.18 47.30 55.45 61.97 57.05 47.30 65.00 34.83 33.55 37.09 31.94 35.14 35.02 27.09 29.63 36.43 37.61 33.83 27.09 37.61 DA1NDP-1 DA2NDP-1 |NDP-2| / |NDP-1| 50.0 42.6 54.0 54.two 40.4 46.7 54.0 80.0 42.6 45.five 51.0 40.4 80.0 33.three 28.7 51.0 34.three 47.1 15.four 13.eight 23.1 31.four 10.9 28.9 ten.9 51.0 |NDP-2| / |NDP-0| 24.four 23.four 29.0 27.7 18.eight 25.9 28.four 39.4 23.four 17.1 25.8 17.1 39.4 9.7 ten.9 21.9 12.eight 18.four 5.7 4.9 8.2 12.6 4.five 11.0 4.five 21.9 |NDP-2| / |NDP| 29.six 23.six 30.0 28.6 26.3 28.8 30.3 37.eight 23.six 28.two 28.7 23.six 37.8 11.6 9.six 18.9 11.0 16.6 5.four three.7 6.8 11.4 four.1 9.9 3.7 18.9 |DP-2| / |NDP-1| 50.0 57.four 46.0 45.eight 59.6 53.three 46.0 20.0 57.4 54.5 49.0 20.0 59.6 66.7 71.three 49.0 65.7 52.9 84.6 86.2 76.9 68.6 89.1 71.1 49.0 89.1 Min. Error with Norm Avg1 Real-8820-01 Real-8820-02 Real-8820-03 Real-8820-04 Real-8820-05 Real-8820-06 Dehydroemetine medchemexpress Real-8820-07 Real-8820-08 Real-8820-09 Real-8820-10 Avg. (actual) Min (actual) Max (true) Fict-0774-01 Fict-0774-02 Fict-0774-03 Fict-0774-04 Fict-0774-05 Fict-0774-06 Fict-0774-07 Fict-0774-08 Fict-0774-09 Fict-0774-10 Avg. (fictitious) Min (fictitious) Max (fictitious) 71 110 90 91 80 73 89 74 110 71 85.9 71 110 267 301 275 310 296 297 347 351 280 343 306.7 267.0 351.0 60.59 60.09 60.65 60.94 57.17 61.20 60.56 60.02 59.99 60.59 60.18 57.17 61.20 67.67 66.59 70.13 66.19 69.40 66.21 64.44 65.96 67.87 67.97 67.24 64.44 70.13 86 111 93 94 112 81 95 71 111 117 97.1 71 117 318 265 237 265 266 283 268 293 253 308 275.6 237.0 318.0 42 61 50 48 52 45 50 35 61 44 48.eight 35 61 93 101 102 99 104 104 94 104 102 129 103.two 93 129 97.32 97.24 97.48 97.51 97.27 96.98 97.48 97.71 97.23 97.35 97.36 96.98 97.71 98.51 97.46 98.80 97.49 98.93 97.14 97.19 97.80 97.48 97.38 97.82 97.14 98.93 58.96 58.43 59.12 59.42 55.61 59.35 59.03 58.64 58.33 58.99 58.59 55.61 59.42 66.67 64.90 69.29 64.53 68.65 64.32 62.63 64.51 66.16 66.19 65.79 62.63 69.29 21 26 27 26 21 21 27 28 26 20 24.three 20 28 31.