@article {15254,
title = {To fill or not to fill: the gas station problem},
journal = {Algorithms{\textendash}ESA 2007},
year = {2007},
month = {2007///},
pages = {534 - 545},
abstract = {In this paper we study several routing problems that generalize shortest paths and the Traveling Salesman Problem. We consider a more general model that incorporates the actual cost in terms of gas prices. We have a vehicle with a given tank capacity. We assume that at each vertex gas may be purchased at a certain price. The objective is to find the cheapest route to go from s to t, or the cheapest tour visiting a given set of locations. Surprisingly, the problem of find the cheapest way to go from s to t can be solved in polynomial time and is not NP-complete. For most other versions however, the problem is NP-complete and we develop polynomial time approximation algorithms for these versions.},
doi = {10.1007/978-3-540-75520-3_48},
author = {Khuller, Samir and Malekian,A. and Mestre,J.}
}