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. 2022 Mar 14;29(35):53598–53618. doi: 10.1007/s11356-022-19105-1

Table 1.

Comparing the results of TMGP and HMGP

Problem TMGP HMGP
Z1×103 Z2 Z3 CPU time (s) Z1×103 GAP1 Z2 GAP2 Z3 GAP3 CPU time (s)
1 228,846.3 88.3 0.98 13.2 228,846.3 0 88.3 0 0.98 0 19.6
2 304,753.8 94.8 0.99 28.4 304,753.8 0 94.8 0 0.99 0 26.5
3 427,039.5 102.5 0.96 96.7 427,039.5 0 102.5 0 0.96 0 35.2
4 556,816.2 115.1 0.97 175.3 560,045.7 0.58 115.9 0.68 0.96 0.75 44.7
5 680,956.5 148.6 0.95 482.5 688,447.0 1.1 150.0 0.95 0.94 1.3 59.2
6 826,428.2 192.8 0.93 1190.3 834,196.6 0.94 194.5 0.88 0.92 1.1 70.5
7 916,635.7 212.3 0.94 2182.6 928,552.0 1.3 214.8 1.2 0.93 1.5 82.1
8 994,528.1 238.5 0.91 4068.5 1,010,440.5 1.6 241.8 1.4 0.89 1.8 93.7
9 1,086,682.5 269.2 0.89 7436.8 1,109,502.8 2.1 274.3 1.9 0.87 2.3 116.3
10 1,129,325.8 295.5 0.91 10,207.1 1,149,653.7 1.8 300.5 1.7 0.89 1.9 130.5
11 1,219,534.2 316.4 0.92 12,752.5 1,247,583.5 2.3 322.7 2 0.90 2.4 148.7
12 1,358,619.6 337.2 0.9 14,863.2 1,396,660.9 2.8 345.0 2.3 0.87 2.9 162.6
13  > 15,000 1,459,432.1 361.8 0.89 181.4
14  > 15,000 1,601,856.8 372.5 0.92 203.5
15  > 15,000 1,724,369.5 390.1 0.90 221.7