Research Article
An Efficient Algorithm for Decomposition of Partially Ordered Sets
Table 5
A comparison between ILPM and the proposed algorithm on k-tower posets.
| N | Comparable pairs N (N − 2)/2 | Standard (P) | ILPM [7] | Proposed algorithm | (P) | CPU time | (P) | CPU time |
| 50 | 1200 | 2 | 2 | 4.095658 | 2 | 0.000384 | 100 | 4900 | 2 | 2 | 30.97442 | 2 | 0.000446 | 150 | 11100 | 2 | 2 | 61.27756 | 2 | 0.000363 | 200 | 19800 | 2 | 2 | 150.0762 | 2 | 0.000415 | 250 | 31000 | 2 | 2 | 140.8486 | 2 | 0.000642 | 300 | 44700 | 2 | 2 | 283.7612 | 2 | 0.000654 | 350 | 60900 | 2 | 2 | 415.9408 | 2 | 0.000629 | 400 | 79600 | 2 | 2 | 399.5216 | 2 | 0.000634 | 450 | 100800 | 2 | 2 | 2568.489 | 2 | 0.000843 | 500 | 124500 | 2 | 2 | 2789.078 | 2 | 0.000850 |
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