Antichain sequences (Q1070251)

For any finite partially ordered set \({\mathcal S}\) (poset) a dual transportation system of linear inequalities is presented with a bijection from the maximal integer valued solutions of this system onto the ''maximal sequences'' of \(k\) antichains in \({\mathcal S}\). This provides a translation to a dual transportation problem of the problem: find a maximum weight union of \(k\) antichains.