This paper presents a canonical dual approach for finding either an optimal or approximate solution to the maximum cut problem (MAX CUT). We show that, by introducing a linear perturbation term to the objective function, the maximum cut problem is perturbed to have a dual problem which is a...

China’s new urbanization development strategy needs to be supported by rational urban systems. Here, a comprehensive diagnostic index system that uses GIS technology and a Chinese urban scale structure rationality diagnostic model, functional structure rationality diagnostic model, spatial...

Resource loading appears in many variants in tactical (mid-term) capacity planning in multi-project environments. It develops a rough sketch of the resource usage and timing of the work packages of a portfolio of orders. The orders need to be executed within a time horizon organized into...

This paper provides a canonical dual approach for minimizing a general quadratic function over a set of linear constraints. We first perturb the feasible domain by a quadratic constraint, and then solve a “restricted” canonical dual program of the perturbed problem at each iteration to...