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arXiv · 1706.00195

A fast algorithm for the gas station problem

Kleitos Papadopoulos·Demetres Christofides
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Abstract

In the gas station problem we want to find the cheapest path between two vertices of an $n$-vertex graph. Our car has a specific fuel capacity and at each vertex we can fill our car with gas, with the fuel cost depending on the vertex. Furthermore, we are allowed at most $Δ$ stops for refuelling. In this short paper we provide an algorithm solving the problem in $O(Δn^2 + n^2\log{n})$ steps improving an earlier result by Khuller, Malekian and Mestre.

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Kleitos Papadopoulos, Demetres Christofides. 2017-06-01. A fast algorithm for the gas station problem. https://arxiv.org/abs/1706.00195

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