The shortest path problem is one of the most fundamental and well-studied problems in graph theory. Numerous real-world applications have stimulated research investigations for more than 50 years. Finding routes in road networks is a classical application motivating the study of the shortest path problem. The aim of this book is to provide means to efficiently compute a minimum cost path in different types of problem settings. We consider three different settings, all with an underlying metric space: transportation networks, anisotropic media and wireless sensor networks. The first part of...