| Article ID: | iaor20084387 |
| Country: | Netherlands |
| Volume: | 177 |
| Issue: | 1 |
| Start Page Number: | 623 |
| End Page Number: | 625 |
| Publication Date: | Feb 2007 |
| Journal: | European Journal of Operational Research |
| Authors: | Szwarc Wlodzimierz |
The note extends Lawler's fundamental decomposition theorem. This extension serves as a basis for alternate criteria that recognize when the problem is non-decomposable. It also shows that even relaxing a single criterion to a weak inequality may contradict Lawler's decomposition theorem.