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31 changes: 26 additions & 5 deletions highs/presolve/HPresolve.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -3359,6 +3359,23 @@ HPresolve::Result HPresolve::singletonCol(HighsPostsolveStack& postsolve_stack,
return Result::kOk;
}

auto zeroCostSingleton = [&](HighsInt col, HighsInt row, double val,
HighsInt direction) {
// try to relax constraint by fixing zero-cost singleton to a bound
if (model->col_cost_[col] != 0.0 || isRanged(row)) return Result::kOk;
if (direction * val > 0 && model->col_lower_[col] != -kHighsInf)
HPRESOLVE_CHECKED_CALL(fixColToLower(postsolve_stack, col));
else if (direction * val < 0 && model->col_upper_[col] != kHighsInf)
HPRESOLVE_CHECKED_CALL(fixColToUpper(postsolve_stack, col));
return Result::kOk;
};

// handle zero-cost singleton
HPRESOLVE_CHECKED_CALL(zeroCostSingleton(
col, row, colCoef,
model->row_upper_[row] != kHighsInf ? HighsInt{1} : HighsInt{-1}));
if (colDeleted[col]) return Result::kOk;

// detect strong / weak domination
HPRESOLVE_CHECKED_CALL(detectDominatedCol(postsolve_stack, col, false));
if (colDeleted[col]) return Result::kOk;
Expand Down Expand Up @@ -3409,7 +3426,6 @@ HPresolve::Result HPresolve::singletonCol(HighsPostsolveStack& postsolve_stack,
return checkLimits(postsolve_stack);
}

// todo: check for zero cost singleton and remove
return Result::kOk;
}

Expand Down Expand Up @@ -4916,10 +4932,15 @@ HPresolve::Result HPresolve::dualFixing(HighsPostsolveStack& postsolve_stack,
// check if variable can be fixed
if (numDownLocks == 0 || numUpLocks == 0) {
// fix variable
if (numDownLocks == 0)
HPRESOLVE_CHECKED_CALL(fixColToLower(postsolve_stack, col));
else
HPRESOLVE_CHECKED_CALL(fixColToUpper(postsolve_stack, col));
if (numDownLocks == 0) {
// avoid fixing zero-cost column to an infinite bound
if (model->col_cost_[col] != 0.0 || model->col_lower_[col] != -kHighsInf)
HPRESOLVE_CHECKED_CALL(fixColToLower(postsolve_stack, col));
} else {
// avoid fixing zero-cost column to an infinite bound
if (model->col_cost_[col] != 0.0 || model->col_upper_[col] != kHighsInf)
HPRESOLVE_CHECKED_CALL(fixColToUpper(postsolve_stack, col));
}
} else {
bool hasSingleDownLock = numDownLocks == 1 && downLockRow != -1;
bool hasSingleUpLock = numUpLocks == 1 && upLockRow != -1;
Expand Down
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