The k-interchange-constrained diameter of a transit network: a connectedness indicator that accounts for travel convenience

Nassim Dehouche
2019 Transportation letters  
We study two variants of the shortest path problem. Given an integer k, the k-color-constrained and the k-interchange-constrained shortest path problems, respectively seek a shortest path that uses no more than k colors and one that makes no more than k - 1 alternations of colors. We show that the former problem is NP-hard, when the latter is tractable. The study of these problems is motivated by some limitations in the use of diameter-based metrics to evaluate the topological structure of
more » ... it networks. We notably show that indicators such as the diameter or directness of a transit network fail to adequately account for travel convenience in measuring the connectivity of a network and propose a new network indicator, based on solving the k-interchange-constrained shortest path problem, that aims at alleviating these limitations.
doi:10.1080/19427867.2018.1564987 fatcat:edu2nsyhrreopcza6hvp245rhy