Algorithms and Data Structures project on different heaps and their use in the Dijkstra and A* algorithms.
I made this project in 2023 as part of AD2 assignment at UGent (major Informatica).
Here you can see my the full report of the project with some mathematical proofs and conclusions about heaps.
Measured on: Intel i5-1240P
Measured with pre-filled heaps
Running decreaseKey-operations on heaps:
| Elements Count | Operations Count | Recursive | Mean | Std-Dev |
|---|---|---|---|---|
| 1 000 | 1 000 | true | 0.115ms | 0.048ms |
| 1 000 | 1 000 | false | 0.12ms | 0.11ms |
| 100 000 | 100 000 | true | 12.23ms | 3.99ms |
| 100 000 | 100 000 | false | 10.39ms | 1.31ms |
| 1 000 000 | 1 000 000 | true | 276.61ms | 72.89ms |
| 1 000 000 | 1 000 000 | false | 253.06ms | 57.38ms |
| Elements Count | Operations Count | Recursive | Mean | Std-Dev |
|---|---|---|---|---|
| 1 000 | 1 000 | true | 0.314ms | 0.041ms |
| 1 000 | 1 000 | false | 0.305ms | 0.074ms |
| 100 000 | 100 000 | true | 43.06ms | 17.47ms |
| 100 000 | 100 000 | false | 37.45ms | 1.55ms |
| 1 000 000 | 1 000 000 | true | 1069.40ms | 76.59ms |
| 1 000 000 | 1 000 000 | false | 1061.73ms | 55.62ms |
Mean and Std-Dev are calculated from 100 individual runs for each row.
Algorithm is benched using coherent graphs.
| Nodes | Edges | Mean | Std-Dev |
|---|---|---|---|
| 10 000 | 20 051 | 7.39ms | 5.39ms |
| 10 000 | 20 459 | 6.59ms | 2.83ms |
| 10 000 | 21 965 | 3.41ms | 1.58ms |
| 10 000 | 100 000 | 6.55ms | 5.48ms |
| 1 000 000 | 2 000 047 | 704.40ms | 415.53ms |
| 1 000 000 | 2 000 506 | 902.92ms | 371.97ms |
| 1 000 000 | 2 004 911 | 725.80ms | 489.88ms |
| 1 000 000 | 2 045 257 | 716.39ms | 479.79ms |
| 5 000 000 | 10 409 179 | 6084.92ms | 3268.69ms |
| Nodes | Edges | Mean | Std-Dev |
|---|---|---|---|
| 10 000 | 20 051 | 8.69ms | 5.91ms |
| 10 000 | 20 459 | 6.39ms | 3.03ms |
| 10 000 | 21 965 | 5.97ms | 3.10ms |
| 10 000 | 100 000 | 5.85ms | 4.87ms |
| 1 000 000 | 2 000 047 | 696.22ms | 365.18ms |
| 1 000 000 | 2 000 506 | 887.30ms | 430.49ms |
| 1 000 000 | 2 004 911 | 759.19ms | 466.33ms |
| 1 000 000 | 2 045 257 | 801.39ms | 524.92ms |
| 5 000 000 | 10 409 179 | 6058.80ms | 3286.14ms |
Mean and Std-Dev are calculated from 10 individual runs for each row
choosing each time 2 random nodes.