Table 6. Efficiency of LD-threshold on solutions’ quality on 20 standard DARP instance of [14].
| Instance | CPU | DA [17] | DA [17] + LD-threshold | Gap (%) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Best | Worst | Mean | SD. | Median | Best | Worst | Mean | SD. | Median | Best | Worst | Mean | SD. | Median | ||
| pr01 | 16.09 | 190.02 | 204.78 | 191.09 | 3.47 | 190.02 | 190.02 | 190.02 | 190.02 | 0 | 190.02 | 0.00 | -7.21 | -0.56 | -100.00 | 0.00 |
| pr02 | 40.30 | 301.34 | 351.43 | 319.14 | 19.64 | 301.34 | 301.34 | 348.11 | 312.45 | 9.81 | 301.34 | 0.00 | -0.94 | -2.10 | -50.05 | 0.00 |
| pr03 | 46.51 | 532.1 | 622.91 | 572.12 | 32.68 | 580.94 | 533.26 | 612.39 | 551.81 | 11.48 | 536.44 | 0.22 | -1.69 | -3.55 | -64.87 | -7.66 |
| pr04 | 70.90 | 585.57 | 630.67 | 608.12 | 22.55 | 585.57 | 581.69 | 620.09 | 594.43 | 9.19 | 587.93 | -0.66 | -1.68 | -2.25 | -59.25 | 0.40 |
| pr05 | 78.51 | 631.27 | 734.63 | 678.57 | 28.56 | 679.98 | 632.66 | 707.51 | 647.41 | 23.66 | 659.13 | 0.22 | -3.69 | -4.59 | -17.16 | -3.07 |
| pr06 | 100.5 | 800.12 | 908.97 | 862.36 | 26.62 | 873.09 | 801.97 | 882.43 | 842.14 | 14.75 | 839.27 | 0.23 | -2.92 | -2.34 | -44.59 | -3.87 |
| pr07 | 21.83 | 292.23 | 292.23 | 292.23 | 0 | 292.23 | 292.23 | 292.23 | 292.23 | 0 | 292.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| pr08 | 41.79 | 488.6 | 497.72 | 492.35 | 2.65 | 491.01 | 487.84 | 494.92 | 491.85 | 2.39 | 492.78 | -0.16 | -0.56 | -0.10 | -9.81 | 0.36 |
| pr09 | 65.36 | 661.3 | 693.44 | 670.94 | 8.94 | 678.19 | 663.85 | 676.59 | 668.98 | 3.17 | 669.17 | 0.39 | -2.43 | -0.29 | -64.54 | -1.33 |
| pr10 | 101.8 | 857.41 | 876.71 | 865.55 | 4.77 | 864.83 | 861.11 | 883.71 | 868.92 | 5.4 | 863.83 | 0.43 | 0.80 | 0.39 | 13.21 | -0.12 |
| pr11 | 22.90 | 164.46 | 175.22 | 165.43 | 2.98 | 164.46 | 164.46 | 184.63 | 165.44 | 4.4 | 164.46 | 0.00 | 5.37 | 0.01 | 47.65 | 0.00 |
| pr12 | 50.53 | 296.18 | 341.4 | 310.29 | 15.82 | 298.77 | 296.37 | 338.35 | 305.49 | 11.73 | 302.37 | 0.06 | -0.89 | -1.55 | -25.85 | 1.20 |
| pr13 | 72.24 | 488.61 | 582.08 | 525.62 | 29.52 | 535.28 | 489.05 | 581.66 | 518.58 | 16.28 | 493.53 | 0.09 | -0.07 | -1.34 | -44.85 | -7.80 |
| pr14 | 105.4 | 534.52 | 637.88 | 568.42 | 31.17 | 567.91 | 534.81 | 613.44 | 567.49 | 17.53 | 564.78 | 0.05 | -3.83 | -0.16 | -43.76 | -0.55 |
| pr15 | 146.8 | 578.42 | 713.46 | 623.51 | 34.06 | 631.46 | 579.30 | 698.3 | 619.33 | 19.47 | 636.87 | 0.15 | -2.12 | -0.67 | -42.84 | 0.86 |
| pr16 | 167.4 | 739.29 | 841.66 | 772.62 | 29.45 | 777.61 | 740.39 | 829.17 | 759.83 | 20.53 | 761.54 | 0.15 | -1.48 | -1.66 | -30.29 | -2.07 |
| pr17 | 29.83 | 249.33 | 309.16 | 260.12 | 19.72 | 249.33 | 249.33 | 294.03 | 259.05 | 11.21 | 249.33 | 0.00 | -4.89 | -0.41 | -43.15 | 0.00 |
| pr18 | 70.82 | 458.73 | 528.69 | 484.59 | 25.85 | 465.98 | 459.13 | 517.89 | 481.27 | 17.34 | 462.55 | 0.09 | -2.04 | -0.69 | -32.92 | -0.74 |
| pr19 | 133.1 | 597.34 | 686.4 | 609.7 | 22.84 | 602.45 | 598.11 | 675.87 | 606.79 | 11.65 | 607.46 | 0.13 | -1.53 | -0.48 | -48.99 | 0.83 |
| pr20 | 156.5 | 795.49 | 816.84 | 804.01 | 5.96 | 802.89 | 797.14 | 817.15 | 805.21 | 5.05 | 805.8 | 0.21 | 0.04 | 0.15 | -15.27 | 0.36 |
| Avg. | 76.98 | 512.12 | 572.31 | 533.84 | 18.36 | 531.67 | 512.70 | 562.92 | 527.44 | 10.75 | 524.04 | 0.08 | -1.59 | -1.11 | -33.87 | -1.16 |