Nöllenburg and Wolff – DRAWING AND LABELING HIGH QUALITY METRO MAPS BY MIXED-INTEGER PROGRAMMING 2010

Description

Authored by Martin Nöllenburg and Alexander Wolff, this 25-page academic paper, published in an IEEE Transactions journal (with a preliminary version dating back to 2005), presents a significant contribution to the field of automated schematic diagram generation. It introduces a novel, integrated approach for drawing and labeling high-quality metro maps using Mixed-Integer Programming (MIP). The robust MIP model tackles the NP-hard layout and labeling problems by translating seven essential design rules into a system of hard and soft constraints, with MIP solvers guaranteeing global optimality where feasible. The document is richly illustrated with numerous metro map layouts, coordinate system diagrams, and tables, showcasing real-world case studies for networks like Sydney, Vienna, and London. An expert assessment further validates the method’s performance against manual and previous automatic designs, establishing its trustworthiness and practical significance.