| Source | Algorithm | Average path length | Optimal path length | Optimal number of vehicles | Optimal distribution solution |
| Jian et al. [38] | Simple genetic algorithm | 1611.474 | 1463.823 | 7 | 0-17-8-16-0, 0-4-12-19-13-0, 0-18-3-2-0, 0-1-11-15-0, 0-6-9-0, 0-10-20-0, and 0-7-5-14-0 | Simulated annealing algorithm based on or-opt | 1219.931 | 1190.181 | 6 | 0-7-3-14-0, 0-10-17-2-0. 0-18-5-11-0, 0-12-19-20-13-6-0, 0-15-4-9-0, and 0-1-8-16-0 | Hybrid genetic algorithm | 1159.703 | 1159.229 | 6 | 0-10-20-17-2-0, 0-18-3-11-0, 0-15-4-9-0, 0-7-5-14-0, 0-1-16-8-0, and 0-12-19-6-13-0 |
| Yin and Zhang [28] | Basic bat algorithm | 1404.4 | 1290.6 | 8 | 0-18-3-4-0, 0-6-13-0, 0-8-16-0, 0-1-14-0, 0-10-2-17-0, 0-9-15-0, 0-12-19-20-0, and 0-7-11-5-0 | Elite genetic hybrid bat algorithm | 1170.0 | 1136.6 | 7 | 0-10-13-20-0, 0-8-16-0, 0-12-19-6-0, 0-7-15-4-0, 0-1-2-17-0, 0-18-5-9-0, and 0-3-11-14-0 | Multipoint recombination elite hybrid bat algorithm | 1162.3 | 1105.9 | 6 | 0-3-11-14-0, 0-1-16-0, 0-18-7-5-15-0, 0-20-13-10-19-0, 0-12-4-9-0, and 0-8-2-17-6-0 | Single-point recombination elite hybrid bat algorithm | 1163.1 | 1090.2 | 6 | 0-4-15-9-0, 0-11-14-3-0, 0-18-7-5-0, 0-12-19-6-13-0, 0-1-16-8-0, and 0-10-20-17-2-0 |
| Chen et al. [36] | Variable neighborhood search algorithm | 1020.75 | 1004.32 | 6 | 0-10-20-17-2-0, 0-7-5-14-0, 0-4-15-9-0, 0-18-11-3-0, 0-1-16-8-0, and 0-12-19-6-13-0 |
| This paper | BOSA | 1005.01 | 1004.32 | 6 | 0-12-19-6-13-0, 0-4-15-9-0, 0-18-11-3-0, 0-10-20-17-2-0, 0-7-5-14-0, and 0-1-16-8-0 |
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