toulbar2-ipr-mpe
Description
Toulbar2-ipr is inspired by an energy landscape-flattering approach coming from physics. The procedure is an iterative approach based on VNS with an increasing precision followed by VACINT approach with full precision. Each iteration uses a time contract and the best solution previously found. The initial solution is provided by a VNS local search with low precision. During the first half time, the upper bound solution from the previous precision is the starting point of the next VNS search, performed with a larger duration and increased precision. Starting from the best solution known so far, the remaining half-time is dedicated to the optimality proof using the VACINT approach at full precision and enforcing virtual pairwise consistency during search on a binary encoding of the problem. Incop local search solver followed by a partition crossover combined with an iterative local search are performed to find good initial upper bound solutions. Toulbar2
Authors
David Allouche, Simon de Givry, George Katsirelos, Samir Loudni, Pierre Montalbano, Abdelkader Ouali, Thomas Schiex, David Simoncini, and Fulya Trösser
The results below are organized as follows:
- each table displays the solver’s normalized score for individual problem instances (and the associated log10 likelihood value) for the given task under different time limits
- table values are normalized scores for each evaluated problem as outlined in Evaluation Criteria
MPE
overall
| Problem | 20sec | 1200sec | 3600sec |
|---|---|---|---|
| 1CKK | 0.0 (nan) | 100.0 (5520.9) | 100.0 (5520.9) |
| 1CM1 | 0.0 (nan) | 100.0 (5414.6) | 100.0 (5414.6) |
| 1SY9 | 0.0 (nan) | 100.0 (3985.1) | 100.0 (3985.1) |
| 2BBN | 0.0 (nan) | 100.0 (5328.6) | 100.0 (5328.6) |
| 2BCX | 0.0 (nan) | 100.0 (6002.2) | 100.0 (6002.2) |
| BN-d-10000-4-2 | 0.0 (nan) | 0.0 (nan) | 0.0 (nan) |
| BN-d-200-5-10 | 95.3 (-46.9) | 100.0 (-46.5) | 100.0 (-46.5) |
| BN-d-20000-4-2 | 0.0 (nan) | 0.0 (nan) | 0.0 (nan) |
| BN-d-250-5-10 | 0.0 (nan) | 100.0 (-56.6) | 100.0 (-56.6) |
| BN-d-500-5-10 | 0.0 (nan) | 99.7 (-117.1) | 99.7 (-117.1) |
| BN-nd-10000-4-2 | 0.0 (nan) | 0.0 (nan) | 0.0 (nan) |
| BN-nd-200-5-10 | 0.0 (nan) | 100.0 (-54.5) | 100.0 (-54.5) |
| BN-nd-20000-4-2 | 0.0 (nan) | 0.0 (nan) | 0.0 (nan) |
| BN-nd-250-5-10 | 0.0 (nan) | 91.7 (-65.8) | 91.7 (-65.8) |
| BN-nd-500-5-10 | 0.0 (nan) | 100.0 (-134.9) | 100.0 (-134.9) |
| Maxsat_aes_64_1_keyfind_1 | 61.5 (1845.2) | 99.5 (1869.3) | 99.5 (1869.3) |
| Maxsat_gss-25-s100 | 0.0 (nan) | 0.2 (63026.1) | 0.2 (63026.1) |
| Maxsat_mod2c-rand3bip-sat-240-3.shuffled-as.sat05-2520 | 79.0 (1626.9) | 96.6 (1637.4) | 100.0 (1639.4) |
| Maxsat_mod2c-rand3bip-sat-250-3.shuffled-as.sat05-2535 | 85.0 (1684.2) | 98.6 (1692.1) | 100.0 (1692.9) |
| Maxsat_mod4block_2vars_10gates_u2_autoenc | 0.0 (nan) | 99.0 (81310.6) | 100.0 (81315.1) |
| Promedas_60 | 100.0 (-10.0) | 100.0 (-10.0) | 100.0 (-10.0) |
| Promedas_61 | 100.0 (-6.9) | 100.0 (-6.9) | 100.0 (-6.9) |
| Promedas_62 | 100.0 (-4.7) | 100.0 (-4.7) | 100.0 (-4.7) |
| Promedas_63 | 100.0 (-6.1) | 100.0 (-6.1) | 100.0 (-6.1) |
| Promedas_64 | 100.0 (-11.5) | 100.0 (-11.5) | 100.0 (-11.5) |
| Promedas_65 | 100.0 (-5.2) | 100.0 (-5.2) | 100.0 (-5.2) |
| Promedas_66 | 100.0 (-10.4) | 100.0 (-10.4) | 100.0 (-10.4) |
| Promedas_67 | 100.0 (-13.4) | 100.0 (-13.4) | 100.0 (-13.4) |
| Promedas_68 | 100.0 (-18.9) | 100.0 (-18.9) | 100.0 (-18.9) |
| Promedas_69 | 100.0 (-11.2) | 100.0 (-11.2) | 100.0 (-11.2) |
| driverlog04ac.wcsp | 100.0 (-0.2) | 100.0 (-0.2) | 100.0 (-0.2) |
| driverlog05ac.wcsp | 88.0 (-12.0) | 100.0 (-0.1) | 100.0 (-0.1) |
| driverlog08ac.wcsp | 88.9 (-12.1) | 100.0 (-0.1) | 100.0 (-0.1) |
| grid20x20.f10 | 100.0 (1309.7) | 100.0 (1309.7) | 100.0 (1309.7) |
| grid20x20.f10.wrap | 100.0 (1325.0) | 100.0 (1325.0) | 100.0 (1325.0) |
| grid20x20.f15 | 100.0 (1961.8) | 100.0 (1961.8) | 100.0 (1961.8) |
| grid20x20.f15.wrap | 100.0 (1981.8) | 100.0 (1981.8) | 100.0 (1981.8) |
| grid20x20.f5.wrap | 100.0 (670.0) | 100.0 (670.0) | 100.0 (670.0) |
| grid40x40.f10 | 97.7 (5460.0) | 99.1 (5487.6) | 100.0 (5504.4) |
| grid40x40.f10.wrap | 81.4 (5246.8) | 100.0 (5674.4) | 100.0 (5674.4) |
| grid40x40.f15 | 96.5 (8130.5) | 98.3 (8183.4) | 100.0 (8234.3) |
| grid40x40.f15.wrap | 82.6 (7883.7) | 98.6 (8448.1) | 100.0 (8496.7) |
| grid40x40.f2 | 100.0 (1167.8) | 100.0 (1167.8) | 100.0 (1167.8) |
| grid40x40.f2.wrap | 93.4 (1156.6) | 100.0 (1179.2) | 100.0 (1179.2) |
| grid40x40.f5 | 99.2 (2773.8) | 100.0 (2781.6) | 100.0 (2781.6) |
| grid40x40.f5.wrap | 79.8 (2618.7) | 100.0 (2825.5) | 100.0 (2825.5) |
| grid80x80.f10 | 0.0 (nan) | 98.2 (21778.5) | 98.6 (21809.1) |
| grid80x80.f10.wrap | 0.0 (nan) | 98.4 (21887.2) | 98.7 (21912.2) |
| grid80x80.f15 | 0.0 (nan) | 98.0 (32555.5) | 98.5 (32618.0) |
| grid80x80.f15.wrap | 0.0 (nan) | 97.6 (32904.5) | 98.3 (33000.5) |
| grid80x80.f2 | 0.0 (nan) | 100.0 (4677.7) | 100.0 (4677.7) |
| grid80x80.f2.wrap | 0.0 (nan) | 100.0 (4735.7) | 100.0 (4735.7) |
| grid80x80.f5 | 0.0 (nan) | 97.9 (11077.5) | 98.2 (11091.0) |
| grid80x80.f5.wrap | 0.0 (nan) | 98.2 (11048.9) | 99.0 (11078.4) |
| pdb1jmx | 100.0 (-501.4) | 100.0 (-501.4) | 100.0 (-501.4) |
| pdb1kgn | 100.0 (-748.7) | 100.0 (-748.7) | 100.0 (-748.7) |
| pdb1kwh | 100.0 (-305.5) | 100.0 (-305.5) | 100.0 (-305.5) |
| pdb1m3y | 100.0 (-1054.2) | 100.0 (-1054.2) | 100.0 (-1054.2) |
| pdb1qks | 100.0 (-657.0) | 100.0 (-657.0) | 100.0 (-657.0) |
| pedigree1 | 100.0 (-45.6) | 100.0 (-45.6) | 100.0 (-45.6) |
| pedigree13 | 100.0 (-73.4) | 100.0 (-73.4) | 100.0 (-73.4) |
| pedigree18 | 100.0 (-125.3) | 100.0 (-125.3) | 100.0 (-125.3) |
| pedigree19 | 99.4 (-97.6) | 100.0 (-97.1) | 100.0 (-97.1) |
| pedigree20 | 100.0 (-53.8) | 100.0 (-53.8) | 100.0 (-53.8) |
| pedigree23 | 100.0 (-62.4) | 100.0 (-62.4) | 100.0 (-62.4) |
| pedigree25 | 100.0 (-160.8) | 100.0 (-160.8) | 100.0 (-160.8) |
| pedigree30 | 100.0 (-137.0) | 100.0 (-137.0) | 100.0 (-137.0) |
| pedigree31 | 100.0 (-130.5) | 100.0 (-130.5) | 100.0 (-130.5) |
| pedigree33 | 100.0 (-74.9) | 100.0 (-74.9) | 100.0 (-74.9) |
| pedigree34 | 100.0 (-111.1) | 100.0 (-111.1) | 100.0 (-111.1) |
| pedigree37 | 100.0 (-144.9) | 100.0 (-144.9) | 100.0 (-144.9) |
| pedigree38 | 100.0 (-87.3) | 100.0 (-87.3) | 100.0 (-87.3) |
| pedigree39 | 100.0 (-155.6) | 100.0 (-155.6) | 100.0 (-155.6) |
| pedigree40 | 100.0 (-130.3) | 100.0 (-130.2) | 100.0 (-130.2) |
| pedigree41 | 100.0 (-120.7) | 100.0 (-120.7) | 100.0 (-120.7) |
| pedigree42 | 100.0 (-81.8) | 100.0 (-81.8) | 100.0 (-81.8) |
| pedigree44 | 100.0 (-97.0) | 100.0 (-97.0) | 100.0 (-97.0) |
| pedigree50 | 100.0 (-61.7) | 100.0 (-61.7) | 100.0 (-61.7) |
| pedigree51 | 100.0 (-109.6) | 100.0 (-109.6) | 100.0 (-109.6) |
| pedigree7 | 100.0 (-113.9) | 100.0 (-113.9) | 100.0 (-113.9) |
| pedigree9 | 100.0 (-122.9) | 100.0 (-122.9) | 100.0 (-122.9) |
| rovers02ac.wcsp | 100.0 (-0.2) | 100.0 (-0.2) | 100.0 (-0.2) |
| rus_100_200_1_1 | 0.0 (nan) | 100.0 (2683.9) | 100.0 (2683.9) |
| rus_100_200_2_1 | 0.0 (nan) | 100.0 (2639.4) | 100.0 (2639.4) |
| rus_100_200_3_1 | 0.0 (nan) | 100.0 (2539.4) | 100.0 (2539.4) |
| rus_100_200_3_3 | 0.0 (nan) | 100.0 (2449.6) | 100.0 (2449.6) |
| rus_100_200_4_3 | 0.0 (nan) | 100.0 (2479.5) | 100.0 (2479.5) |
| rus_100_200_5_3 | 0.0 (nan) | 100.0 (2573.3) | 100.0 (2573.3) |
| rus_100_200_6_1 | 0.0 (nan) | 100.0 (2276.7) | 100.0 (2276.7) |
| rus_50_100_4_1 | 100.0 (1535.9) | 100.0 (1535.9) | 100.0 (1535.9) |
| rus_50_100_4_3 | 100.0 (1615.8) | 100.0 (1615.8) | 100.0 (1615.8) |
| rus_50_100_6_1 | 100.0 (1338.1) | 100.0 (1338.1) | 100.0 (1338.1) |
| rus_50_100_6_2 | 100.0 (1656.5) | 100.0 (1656.5) | 100.0 (1656.5) |
| rus_50_100_7_1 | 100.0 (1504.1) | 100.0 (1504.1) | 100.0 (1504.1) |
| rus_50_100_7_2 | 100.0 (1509.9) | 100.0 (1509.9) | 100.0 (1509.9) |
| rus_50_100_8_1 | 100.0 (1446.2) | 100.0 (1446.2) | 100.0 (1446.2) |
| rus_50_100_9_3 | 100.0 (1614.3) | 100.0 (1614.3) | 100.0 (1614.3) |
| satellite01ac.wcsp | 100.0 (-0.1) | 100.0 (-0.1) | 100.0 (-0.1) |
| satellite02ac.wcsp | 100.0 (-0.0) | 100.0 (-0.0) | 100.0 (-0.0) |
| scen06.wcsp | 99.9 (-13.6) | 100.0 (-13.6) | 100.0 (-13.6) |
| scen07.wcsp | 94.3 (-5.6) | 100.0 (-1.4) | 100.0 (-1.4) |
| zenotravel02ac.wcsp | 100.0 (-0.1) | 100.0 (-0.1) | 100.0 (-0.1) |
| zenotravel04ac.wcsp | 100.0 (-0.1) | 100.0 (-0.1) | 100.0 (-0.1) |