文章基本信息

标题：Ride Sharing with a Vehicle of Unlimited Capacity
本地全文：下载
作者：Angelo Fanelli ; Greco Gianluigi
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2016
卷号：58
页码：36:1-36:14
DOI：10.4230/LIPIcs.MFCS.2016.36
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：A ride sharing problem is considered where we are given a graph, whose edges are equipped with a travel cost, plus a set of objects, each associated with a transportation request given by a pair of origin and destination nodes. A vehicle travels through the graph, carrying each object from its origin to its destination without any bound on the number of objects that can be simultaneously transported. The vehicle starts and terminates its ride at given nodes, and the goal is to compute a minimum-cost ride satisfying all requests. This ride sharing problem is shown to be tractable on paths by designing a O(h*log(h)+n) algorithm, with h being the number of distinct requests and with n being the number of nodes in the path. The algorithm is then used as a subroutine to efficiently solve instances defined over cycles, hence covering all graphs with maximum degree 2. This traces the frontier of tractability, since NP-hard instances are exhibited over trees whose maximum degree is 3.
关键词：vehicle routing; ride sharing; pick up and delivery problem