| Instance | Lower bound | Source | Best Known | Source | ||||||||||||||
| DEEPSEA_MUN_C7_V3_HE_1 | 5233464.0 | [1] | 5233464 | [1] | ||||||||||||||
| DEEPSEA_MUN_C7_V3_HE_2 | 6053699.0 | [1] | 6053699 | [1] | ||||||||||||||
| DEEPSEA_MUN_C7_V3_HE_3 | 5888949.0 | [1] | 5888949 | [1] | ||||||||||||||
| DEEPSEA_MUN_C7_V3_HE_4 | 6510656.0 | [1] | 6510656 | [1] | ||||||||||||||
| DEEPSEA_MUN_C7_V3_HE_5 | 7220459.0 | [1] | 7220458 | [1] | ||||||||||||||
| DEEPSEA_MUN_C10_V3_HE_1 | 7986248.0 | [1] | 7986248 | [1] | ||||||||||||||
| DEEPSEA_MUN_C10_V3_HE_2 | 7754484.0 | [1] | 7754484 | [1] | ||||||||||||||
| DEEPSEA_MUN_C10_V3_HE_3 | 9499357.0 | [1] | 9499357 | [1] | ||||||||||||||
| DEEPSEA_MUN_C10_V3_HE_4 | 8617192.0 | [1] | 8617192 | [1] | ||||||||||||||
| DEEPSEA_MUN_C10_V3_HE_5 | 8653992.0 | [1] | 8653992 | [1] | ||||||||||||||
| DEEPSEA_MUN_C15_V4_HE_1 | 13467090.0 | [1] | 13467090 | [1] | ||||||||||||||
| DEEPSEA_MUN_C15_V4_HE_2 | 12457252.0 | [1] | 12457251 | [1] | ||||||||||||||
| DEEPSEA_MUN_C15_V4_HE_3 | 12567396.0 | [1] | 12567396 | [1] | ||||||||||||||
| DEEPSEA_MUN_C15_V4_HE_4 | 11764241.0 | [1] | 11764241 | [1] | ||||||||||||||
| DEEPSEA_MUN_C15_V4_HE_5 | 10833640.0 | [1] | 10833640 | [1] | ||||||||||||||
| DEEPSEA_MUN_C18_V5_HE_1 | 43054055.0 | [1] | 43054055 | [1] | ||||||||||||||
| DEEPSEA_MUN_C18_V5_HE_2 | 25068287.0 | [3] | 25068287 | [1] | ||||||||||||||
| DEEPSEA_MUN_C18_V5_HE_3 | 29211238.0 | [1] | 29211238 | [1] | ||||||||||||||
| DEEPSEA_MUN_C18_V5_HE_4 | 32281904.0 | [1] | 32281904 | [1] | ||||||||||||||
| DEEPSEA_MUN_C18_V5_HE_5 | 40718030.0 | [1] | 40718028 | [1] | ||||||||||||||
| DEEPSEA_MUN_C22_V6_HE_1 | 41176718.0 | [1] | 41176718 | [1] | ||||||||||||||
| DEEPSEA_MUN_C22_V6_HE_2 | 37236363.0 | [1] | 37236363 | [1] | ||||||||||||||
| DEEPSEA_MUN_C22_V6_HE_3 | 38215238.0 | [1] | 38215238 | [1] | ||||||||||||||
| DEEPSEA_MUN_C22_V6_HE_4 | 34129809.0 | [3] | 34129809 | [1] | ||||||||||||||
| DEEPSEA_MUN_C22_V6_HE_5 | 46379332.0 | [1] | 46379332 | [1] | ||||||||||||||
| DEEPSEA_MUN_C23_V13_HE_1 | 41002992.0 | [1] | 41002992 | [1] | ||||||||||||||
| DEEPSEA_MUN_C23_V13_HE_2 | 28014147.0 | [3] | 28014147 | [1] | ||||||||||||||
| DEEPSEA_MUN_C23_V13_HE_3 | 29090422.0 | [3] | 29090422 | [1] | ||||||||||||||
| DEEPSEA_MUN_C23_V13_HE_4 | 33685274.0 | [1] | 33685274 | [1] | ||||||||||||||
| DEEPSEA_MUN_C23_V13_HE_5 | 38664843.0 | [1] | 38664843 | [1] | ||||||||||||||
| DEEPSEA_MUN_C30_V6_HE_1 | 19227093.0 | [3] | 19227093 | [1] | ||||||||||||||
| DEEPSEA_MUN_C30_V6_HE_2 | 16784810.0 | [3] | 16784810 | [3] | ||||||||||||||
| DEEPSEA_MUN_C30_V6_HE_3 | 21183928.0 | [3] | 21183928 | [2] | ||||||||||||||
| DEEPSEA_MUN_C30_V6_HE_4 | 21076728.0 | [3] | 21076728 | [1] | ||||||||||||||
| DEEPSEA_MUN_C30_V6_HE_5 | 24490671.0 | [3] | 24490671 | [1] | ||||||||||||||
| DEEPSEA_MUN_C35_V7_HE_1 | 65082675.0 | [3] | 65082675 | [1] | ||||||||||||||
| DEEPSEA_MUN_C35_V7_HE_2 | 54810586.0 | [3] | 54810586 | [3] | ||||||||||||||
| DEEPSEA_MUN_C35_V7_HE_3 | 56182502.0 | [3] | 56182502 | [2] | ||||||||||||||
| DEEPSEA_MUN_C35_V7_HE_4 | 61354812.0 | [3] | 61354812 | [2] | ||||||||||||||
| DEEPSEA_MUN_C35_V7_HE_5 | 63904705.0 | [3] | 63904705 | [2] | ||||||||||||||
| DEEPSEA_MUN_C60_V13_HE_1 | 80649895.0 | [3] | 80649895 | [3] | ||||||||||||||
| DEEPSEA_MUN_C60_V13_HE_2 | 74881109.0 | [3] | 74881109 | [3] | ||||||||||||||
| DEEPSEA_MUN_C60_V13_HE_3 | 91766747.0 | [3] | 91766747 | [3] | ||||||||||||||
| DEEPSEA_MUN_C60_V13_HE_4 | 89702352.0 | [3] | 89702352 | [3] | ||||||||||||||
| DEEPSEA_MUN_C60_V13_HE_5 | 88486544.0 | [3] | 88486544 | [3] | ||||||||||||||
| DEEPSEA_MUN_C80_V20_HE_1 | 70718084.0 | [3] | 70718084 | [3] | ||||||||||||||
| DEEPSEA_MUN_C80_V20_HE_2 | 73558165.0 | [3] | 73558165 | [3] | ||||||||||||||
| DEEPSEA_MUN_C80_V20_HE_3 | 78250612.0 | [3] | 78250612 | [3] | ||||||||||||||
| DEEPSEA_MUN_C80_V20_HE_4 | 75962439.0 | [3] | 75962439 | [3] | ||||||||||||||
| DEEPSEA_MUN_C80_V20_HE_5 | 74162521.0 | [3] | 74162521 | [3] | ||||||||||||||
| DEEPSEA_MUN_C100_V30_HE_1 | 150481912.0 | [3] | 150481912 | [3] | ||||||||||||||
| DEEPSEA_MUN_C100_V30_HE_2 | 150826322.0 | [3] | 150826322 | [3] | ||||||||||||||
| DEEPSEA_MUN_C100_V30_HE_3 | 151027805.0 | [3] | 151027805 | [3] | ||||||||||||||
| DEEPSEA_MUN_C100_V30_HE_4 | 151193009.0 | [3] | 151193009 | [3] | ||||||||||||||
| DEEPSEA_MUN_C100_V30_HE_5 | 159789021.0 | [3] | 159789021 | [3] | ||||||||||||||
| DEEPSEA_MUN_C130_V40_HE_1 | 232582224.0 | [3] | 232582224 | [3] | ||||||||||||||
| DEEPSEA_MUN_C130_V40_HE_2 | 228036360.0 | [3] | 228036360 | [3] | ||||||||||||||
| DEEPSEA_MUN_C130_V40_HE_3 | 235657072.0 | [3] | 235657072 | [3] | ||||||||||||||
| DEEPSEA_MUN_C130_V40_HE_4 | 220357686.0 | [3] | 220357686 | [3] | ||||||||||||||
| DEEPSEA_MUN_C130_V40_HE_5 | 235381937.0 | [3] | 235381937 | [3] | ||||||||||||||
| [1] | A. Hemmati, L.M. Hvattum, I. Norstad, and K. Fagerholt. Benchmark suite for a class of industrial and tramp ship routing and scheduling problems. INFOR, 52:28-38, 2014. | |||||||||||||||||
| [2] | A. Hemmati and L.M. Hvattum. Evaluating the importance of randomization in adaptive large neighborhood search. International Transactions in Operational Research, 24:929-942, 2017. | |||||||||||||||||
| [3] | G. Homsi, R. Martinelli, T. Vidal, and K. Fagerholt. Industrial and tramp ship routing problems: closing the gap for real-scale instances. Unpublished, 2018. | |||||||||||||||||