algorithm

A Facet Enumeration Algorithm for Convex Polytopes

Categories Basic Sciences Applications, Convex and Nonsmooth Optimization, Linear Programming Tags , , ,

This paper proposes a simple facet enumeration algorithm for convex polytopes. The complexity of the algorithm is analyzed. The algorithm is implemented in Matlab. Some polytopes with known H-representations and V-representations are used as test examples. The preliminary numerical test shows the effectiveness and efficiency of the proposed algorithm. Due to the duality between the … Read more

Spatial Optimization Models for Width-Constrained Wildlife Corridor Design

Categories (Mixed) Integer Linear Programming, Applications - OR and Management Sciences, Applications - Science and Engineering Tags , , ,

Human activities increasingly fragment natural habitats, placing many species at risk of population decline. This creates an urgent need to preserve biodiversity and maintain ecological connectivity through wildlife corridors. We present two spatial optimization models for corridor design that explicitly incorporate corridor width as a key ecological criterion. The first model minimizes total corridor cost … Read more