| Article ID: | iaor2014168 |
| Volume: | 12 |
| Issue: | 4 |
| Start Page Number: | 329 |
| End Page Number: | 343 |
| Publication Date: | Dec 2013 |
| Journal: | Journal of Mathematical Modelling and Algorithms in Operations Research |
| Authors: | Billionnet Alain, Jarray Fethi, Tlig Ghassen, Zagrouba Ezzedine |
| Keywords: | programming: integer |
We consider the problem of reconstructing two‐dimensional convex binary matrices from their row and column sums with adjacent ones. Instead of requiring the ones to occur consecutively in each row and column, we maximize the number of adjacent ones. We reformulate the problem by using integer programming and we develop approximate solutions based on linearization and convexification techniques.