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# Bensolve

 BENSOLVE is a solver for vector linear programs (VLP), in particular, for the subclass of multiple objective linear programs (MOLP). It is based on Benson's algorithm and its extensions. BENSOLVE is a free software published under the terms of the GNU General Public License. It utilizes the GNU Linear Programming Kit (GLPK). BENSOLVE (from version 2) is written in C programming language. For further information and to download the latest version, visit:   www.bensolve.org or use the following link to a local repository.
 BENSOLVE TOOLS is an Octave/Matlab toolbox for polyhedral calculus and and polyhedral optimization. It is based on the VLP solver BENSOLVE. The main features of the current version are: Calculus of convex polyhedra computing H-representation and V-representation computing an inequality representation (H-representation) image and inverse image under linear transformation lineality space, affine hull, dimension, recession cone conic hull of a polyhedron adjacency list, facet-vertex incidence list Minkowski sum of n polyhedra intersection and closed convex hull of the union of n polyhedra cartesian product of n polyhedra polar and polar cone of a polyhedron normal cone of a polyhedron at a point comparing polyhedra: subset, proper subset, equality plotting 2d and 3d polyhedra Calculus of polyhedral convex functions pointwise maximum of n polyhedral functions lower closed convex envelope of n polyhedral functions infimal convolution of n polyhedral functions pointwise sum of n polyhedral functions conjugate of a polyhedral function recession function of a polyhedral function domain, range, level sets, recession cone of a polyhedral function subdifferential at some point test for pointwise ordering and equality of two polyhedral functions plot of polyhedral functions with one or two variables Solving Linear Programs and Polyhedral Convex Programs (GLPK interface) Global Optimization quasi-convace objective and linear constraints possibility to exploit cone monotonicity Multiobjective linear programming (MOLP) Vector linear programming (VLP) For further information and to download the latest version, visit: http://tools.bensolve.org or use the following link to a local repository.