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author | Harpreet | 2016-08-04 15:25:44 +0530 |
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committer | Harpreet | 2016-08-04 15:25:44 +0530 |
commit | 9fd2976931c088dc523974afb901e96bad20f73c (patch) | |
tree | 22502de6e6988d5cd595290d11266f8432ad825b /build/Bonmin/include/coin/CoinPresolveDual.hpp | |
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initial add
Diffstat (limited to 'build/Bonmin/include/coin/CoinPresolveDual.hpp')
-rw-r--r-- | build/Bonmin/include/coin/CoinPresolveDual.hpp | 85 |
1 files changed, 85 insertions, 0 deletions
diff --git a/build/Bonmin/include/coin/CoinPresolveDual.hpp b/build/Bonmin/include/coin/CoinPresolveDual.hpp new file mode 100644 index 0000000..b021ce0 --- /dev/null +++ b/build/Bonmin/include/coin/CoinPresolveDual.hpp @@ -0,0 +1,85 @@ +/* $Id: CoinPresolveDual.hpp 1510 2011-12-08 23:56:01Z lou $ */ + +// Copyright (C) 2002, International Business Machines +// Corporation and others. All Rights Reserved. +// This code is licensed under the terms of the Eclipse Public License (EPL). + +#ifndef CoinPresolveDual_H +#define CoinPresolveDual_H + +/*! \class remove_dual_action + \brief Attempt to fix variables by bounding reduced costs + + The reduced cost of x_j is d_j = c_j - y*a_j (1). Assume minimization, + so that at optimality d_j >= 0 for x_j nonbasic at lower bound, and + d_j <= 0 for x_j nonbasic at upper bound. + + For a slack variable s_i, c_(n+i) = 0 and a_(n+i) is a unit vector, hence + d_(n+i) = -y_i. If s_i has a finite lower bound and no upper bound, we + must have y_i <= 0 at optimality. Similarly, if s_i has no lower bound and a + finite upper bound, we must have y_i >= 0. + + For a singleton variable x_j, d_j = c_j - y_i*a_ij. Given x_j with a + single finite bound, we can bound d_j greater or less than 0 at + optimality, and that allows us to calculate an upper or lower bound on y_i + (depending on the bound on d_j and the sign of a_ij). + + Now we have bounds on some subset of the y_i, and we can use these to + calculate upper and lower bounds on the d_j, using bound propagation on + (1). If we can manage to bound some d_j as strictly positive or strictly + negative, then at optimality the corresponding variable must be nonbasic + at its lower or upper bound, respectively. If the required bound is lacking, + the problem is unbounded. +*/ + +class remove_dual_action : public CoinPresolveAction { + + public: + + /// Destructor + ~remove_dual_action () ; + + /// Name + inline const char *name () const { return ("remove_dual_action") ; } + + /*! \brief Attempt to fix variables by bounding reduced costs + + Always scans all variables. Propagates bounds on reduced costs until there's + no change or until some set of variables can be fixed. + */ + static const CoinPresolveAction *presolve(CoinPresolveMatrix *prob, + const CoinPresolveAction *next) ; + + /*! \brief Postsolve + + In addition to fixing variables (handled by make_fixed_action), we may + need use our own postsolve to restore constraint bounds. + */ + void postsolve (CoinPostsolveMatrix *prob) const ; + + private: + + /// Postsolve (bound restore) instruction + struct action { + double rlo_ ; ///< restored row lower bound + double rup_ ; ///< restored row upper bound + int ndx_ ; ///< row index + } ; + + /// Constructor with postsolve actions. + remove_dual_action(int nactions, const action *actions, + const CoinPresolveAction *next) + : CoinPresolveAction(next), + nactions_(nactions), + actions_(actions) + {} + + /// Count of bound restore entries + const int nactions_ ; + /// Bound restore entries + const action *actions_ ; + +} ; +#endif + + |