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lp: add best-of-N efficacy-based Gomory row selection

Add lp.gomory_efficacy_select (default false) and lp.gomory_candidate_rows
(default 3). When enabled, Gomory cut rows are no longer chosen by how close
the basic variable is to an integer. Instead, gomory_candidate_rows
integer-infeasible GMI-clean rows are sampled uniformly at random, a cut is
built for each, and the most efficacious cuts whose efficacy
(k - t(x*))/||t||_2 is at least gomory_cut_efficacy_threshold are added (up to
num_cuts of them, best first).

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
This commit is contained in:
Lev Nachmanson 2026-06-25 15:24:23 -07:00
parent 8d1dde407e
commit 11e95dafeb
5 changed files with 81 additions and 14 deletions

View file

@ -28,8 +28,10 @@ namespace lp {
class int_solver& lia;
class lar_solver& lra;
unsigned_vector gomory_select_int_infeasible_vars(unsigned num_cuts);
unsigned_vector gomory_select_random_rows(unsigned num_rows);
bool is_gomory_cut_target(lpvar j);
bool cut_has_enough_efficacy(const lar_term& t, const mpq& k);
double cut_efficacy(const lar_term& t, const mpq& k);
u_dependency* add_deps(u_dependency*, const row_strip<mpq>&, lpvar);
public:
lia_move get_gomory_cuts(unsigned num_cuts);