Research Article
An Efficient Algorithm for Decomposition of Partially Ordered Sets
Table 3
A comparison between ILPM and the proposed algorithm on crown posets.
| N = 2n | Comparable pairs, N (N − 1) | Standard (P) | ILPM [7] | Proposed algorithm | (P) | CPU time | (P) | CPU time |
| 50 | 600 | 25 | 25 | 0.235665 | 25 | 0.0017501 | 100 | 2450 | 50 | 50 | 1.215363 | 50 | 0.0036623 | 150 | 5550 | 75 | 75 | 3.590369 | 75 | 0.0067241 | 200 | 9900 | 100 | 100 | 9.038238 | 100 | 0.0075052 | 250 | 15500 | 125 | 125 | 16.18856 | 125 | 0.010577 | 300 | 22350 | 150 | 150 | 27.90345 | 150 | 0.0135506 | 350 | 30450 | 175 | 175 | 43.35807 | 175 | 0.0184247 | 400 | 39800 | 200 | 200 | 69.64655 | 200 | 0.027318 | 450 | 50400 | 225 | 225 | 96.15276 | 225 | 0.0280215 | 500 | 62250 | 250 | 250 | 136.2815 | 250 | 0.0457993 |
|
|