To fill or not to fill: The gas station problem (extended abstract)

被引：0
|
作者：
Khuller, Samir [1 ]
Malekian, Azarakhsh [1 ]
Mestre, Julian [1 ]
机构：
[1] Univ Maryland, Dept Comp Sci, College Pk, MD 20742 USA
来源：
ALGORITHMS - ESA 2007, PROCEEDINGS | 2007年 / 4698卷
关键词：
D O I：
暂无
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
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.
引用
收藏
页码：534 / 545
页数：12
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