- Seeds
- 10 per configuration
- Runtime
- about 15 seconds
A* against UCS and Greedy, 6 to 10 stops
A* against UCS and Greedy, 6 to 10 stops
| stops |
algorithm |
expanded |
generated |
cost_min |
gap_pct |
time_ms |
| 6 |
UCS |
95.5 ± 16.5 |
106.5 ± 22.2 |
224.8 ± 54.9 |
0 ± 0 |
0.6274 ± 0.133 |
| 6 |
Greedy |
64.7 ± 16.4 |
70.8 ± 16.2 |
239.4 ± 56.7 |
6.655 ± 5.72 |
2.346 ± 0.699 |
| 6 |
A* (max-incoming h) |
51.3 ± 17.9 |
86.1 ± 19.2 |
224.8 ± 54.9 |
0 ± 0 |
1.936 ± 0.411 |
| 6 |
A* (sum/wait h) |
34 ± 20.4 |
63.7 ± 21.6 |
224.8 ± 54.9 |
0 ± 0 |
1.823 ± 0.824 |
| 7 |
UCS |
184.3 ± 23.1 |
202.6 ± 31.2 |
258.7 ± 63.1 |
0 ± 0 |
1.447 ± 0.287 |
| 7 |
Greedy |
136.2 ± 51.6 |
143.3 ± 52.1 |
265.2 ± 66.4 |
2.433 ± 3.09 |
5.242 ± 2.12 |
| 7 |
A* (max-incoming h) |
123.9 ± 17.1 |
187.9 ± 22.2 |
258.7 ± 63.1 |
0 ± 0 |
4.983 ± 0.895 |
| 7 |
A* (sum/wait h) |
92.1 ± 27.3 |
159.4 ± 28.3 |
258.7 ± 63.1 |
0 ± 0 |
5.485 ± 2.52 |
| 8 |
UCS |
356.7 ± 53.3 |
425.4 ± 75.2 |
301.3 ± 57.4 |
0 ± 0 |
2.798 ± 0.582 |
| 8 |
Greedy |
326.4 ± 104 |
333.2 ± 105 |
311.6 ± 55.7 |
3.651 ± 3.85 |
10.53 ± 3.23 |
| 8 |
A* (max-incoming h) |
213.8 ± 70.7 |
363.6 ± 58.9 |
301.3 ± 57.4 |
0 ± 0 |
8.534 ± 1.51 |
| 8 |
A* (sum/wait h) |
109.3 ± 60.8 |
227.4 ± 68.9 |
301.3 ± 57.4 |
0 ± 0 |
6.675 ± 2.21 |
| 9 |
UCS |
777.1 ± 108 |
889.2 ± 145 |
289.9 ± 56.3 |
0 ± 0 |
6.422 ± 1.16 |
| 9 |
Greedy |
775.2 ± 221 |
784.1 ± 223 |
304.2 ± 53.9 |
5.424 ± 5.1 |
24.59 ± 7.35 |
| 9 |
A* (max-incoming h) |
478 ± 77.5 |
776.4 ± 126 |
289.9 ± 56.3 |
0 ± 0 |
19.02 ± 3.47 |
| 9 |
A* (sum/wait h) |
254.3 ± 56.9 |
526.7 ± 73.7 |
289.9 ± 56.3 |
0 ± 0 |
15.07 ± 2.28 |
| 10 |
UCS |
1519 ± 161 |
1717 ± 301 |
334.4 ± 36.6 |
0 ± 0 |
13.55 ± 1.49 |
| 10 |
Greedy |
1312 ± 440 |
1322 ± 441 |
349.8 ± 40.5 |
4.612 ± 4.21 |
42.08 ± 13.6 |
| 10 |
A* (max-incoming h) |
865.4 ± 180 |
1439 ± 184 |
334.4 ± 36.6 |
0 ± 0 |
36.08 ± 4.12 |
| 10 |
A* (sum/wait h) |
368.7 ± 249 |
847.7 ± 293 |
334.4 ± 36.6 |
0 ± 0 |
24.69 ± 9.73 |
A* vs brute force (6-8 stops): 30/30 identical optimal costs.
Pruning: BT, BT+FC, BT+FC+AC-3 at 15, 20 and 30 orders
Pruning: BT, BT+FC, BT+FC+AC-3 at 15, 20 and 30 orders
| orders |
solver |
assignments |
assignments median |
backtracks |
checks |
time_ms |
nn_edges |
solved/unsat/limit |
| 15 |
BT |
30.1 ± 28.4 |
16.5 |
15.1 ± 28.4 |
53.3 ± 70.2 |
0.08177 ± 0.0695 |
2.1 ± 3.08 |
10/0/0 |
| 15 |
BT+FC |
28.8 ± 27.4 |
16.0 |
13.8 ± 27.4 |
0 ± 0 |
0.07832 ± 0.0578 |
2.1 ± 3.08 |
10/0/0 |
| 15 |
BT+FC+AC3 |
28.6 ± 27.5 |
15.5 |
13.6 ± 27.5 |
0 ± 0 |
0.3828 ± 0.861 |
2.1 ± 3.08 |
10/0/0 |
| 15 |
BT+FC+AC3 +degree order |
15 ± 0 |
15.0 |
0 ± 0 |
0 ± 0 |
0.06435 ± 0.00557 |
2.1 ± 3.08 |
10/0/0 |
| 20 |
BT |
445.5 ± 1.23e+03 |
24.0 |
425.5 ± 1.23e+03 |
1038 ± 2.92e+03 |
1.158 ± 3.14 |
4.5 ± 4.13 |
10/0/0 |
| 20 |
BT+FC |
192.4 ± 503 |
23.5 |
172.4 ± 503 |
0 ± 0 |
0.4694 ± 1.02 |
4.5 ± 4.13 |
10/0/0 |
| 20 |
BT+FC+AC3 |
140.1 ± 349 |
23.0 |
120.1 ± 349 |
0 ± 0 |
0.3777 ± 0.842 |
4.5 ± 4.13 |
10/0/0 |
| 20 |
BT+FC+AC3 +degree order |
20.2 ± 0.4 |
20.0 |
0.2 ± 0.4 |
0 ± 0 |
0.1188 ± 0.0756 |
4.5 ± 4.13 |
10/0/0 |
| 30 |
BT |
4.089e+04 ± 7.96e+04 |
165.5 |
4.087e+04 ± 7.96e+04 |
1.08e+05 ± 2.1e+05 |
99.93 ± 194 |
7.9 ± 6.47 |
8/0/2 |
| 30 |
BT+FC |
4.051e+04 ± 7.98e+04 |
105.5 |
4.049e+04 ± 7.98e+04 |
0 ± 0 |
117.9 ± 238 |
7.9 ± 6.47 |
8/0/2 |
| 30 |
BT+FC+AC3 |
2.203e+04 ± 5.95e+04 |
104.5 |
2.2e+04 ± 5.95e+04 |
0 ± 0 |
66.14 ± 164 |
7.9 ± 6.47 |
8/1/1 |
| 30 |
BT+FC+AC3 +degree order |
4475 ± 1.32e+04 |
36.5 |
4448 ± 1.32e+04 |
0 ± 0 |
11.56 ± 33.6 |
7.9 ± 6.47 |
9/1/0 |
Lateness when real trip times are replayed
Lateness when real trip times are replayed
| scenario |
model |
replay_late |
replay_late_pct |
replay_late_minutes |
planned_late |
planned_route_min |
learned_rules |
plans ok |
| standard windows 30-120 min |
NN (MLP) |
0.31 ± 0.486 |
1.55 ± 2.43 |
7.794 ± 18.3 |
0 ± 0 |
1172 ± 75.2 |
0 ± 0 |
10/10 |
| standard windows 30-120 min |
hist-avg |
0.3933 ± 0.499 |
1.967 ± 2.5 |
6.985 ± 11 |
0 ± 0 |
1172 ± 75.5 |
0 ± 0 |
10/10 |
| standard windows 30-120 min |
distance-linear |
0.3067 ± 0.46 |
1.533 ± 2.3 |
5.061 ± 9.86 |
0 ± 0 |
1159 ± 74.1 |
0 ± 0 |
10/10 |
| tight windows 15-30 min |
NN (MLP) |
1.043 ± 0.69 |
5.217 ± 3.45 |
9.115 ± 6.72 |
0 ± 0 |
1300 ± 71 |
0.6 ± 1.2 |
10/10 |
| tight windows 15-30 min |
hist-avg |
1.01 ± 1.04 |
5.05 ± 5.19 |
10.76 ± 12.7 |
0 ± 0 |
1299 ± 67.7 |
0.4 ± 0.917 |
10/10 |
| tight windows 15-30 min |
distance-linear |
1.617 ± 1.21 |
8.083 ± 6.07 |
17.52 ± 15.1 |
0.1 ± 0.3 |
1288 ± 70.6 |
0.8 ± 1.66 |
9/10 |
Replay pool back-offs: {'hour+-1': 3099, 'all-hours': 667}