Ray Projection for Optimizing Polytopes with Prohibitively Many Constraints in Set-Covering Column Generation

A recurrent task in mathematical programming requires optimizing polytopes with prohibitively-many constraints, e.g., the primal polytope in cutting-plane methods or the dual polytope in Column Generation (CG). This paper is devoted to the ray projection technique for optimizing such polytopes: start from a feasible solution and advance on a given ray direction until intersecting a … Read more