POLYHEDRAL-BASED METHODS FOR MIXED-INTEGER SOCP IN TREE BREEDING

Polyhedral approximation in mixed-integer convex optimization

Generalizing both mixed-integer linear optimization and convex optimization, mixed-integer convex optimization possesses broad modeling power but has seen relatively few advances in general-purpose solvers in recent years. In this paper, we intend to provide a broadly accessible introduction to our recent work in developing algorithms and software for this problem class. Our approach is based o...

Polyhedral Approaches to Mixed Integer Linear Programming

This survey presents tools from polyhedral theory that are used in integer programming. It applies them to the study of valid inequalities for mixed integer linear sets, such as Gomory’s mixed integer cuts.

A Mixed Integer Programming Approach to Optimal Feeder Routing for Tree-Based Distribution System: A Case Study

A genetic algorithm is proposed to optimize a tree-structured power distribution network considering optimal cable sizing. For minimizing the total cost of the network, a mixed-integer programming model is presented determining the optimal sizes of cables with minimized location-allocation cost. For designing the distribution lines in a power network, the primary factors must be considered as m...

A Computational Study of Finitely Convergent Polyhedral Methods for General Mixed-Integer Linear Programs

Recently, Chen et al. (2009) proposed a finite polyhedral characterization of the convex hull of solutions to general mixed integer linear programs with bounded integer variables and introduced finitely convergent algorithms to solve this class of problems. In this paper, we investigate whether these algorithms provide computational tools that go beyond the convergence results reported in the a...

Mixed Integer Programming for Call Tree Reversal