Car-Sharing Problem: Online Scheduling with Flexible Advance Bookings

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4 Scopus citations

Abstract

We study an online scheduling problem that is motivated by applications such as car-sharing for trips among a number of locations. Users submit ride requests, and the scheduler aims to accept as many requests as k servers (cars) could. Each ride request specifies the pick-up time, the pick-up location, and the drop-off location. A request can be submitted at any time during a certain time interval that precedes the pick-up time. The scheduler has to decide whether or not to accept a request immediately at the time when the request is submitted (booking time). For the general case in which requests may have arbitrary lengths, L, the ratio of the longest to the shortest request, is an important parameter. We give an algorithm with competitive ratio O(L), where the ratio L is known in advance. It is shown that no -competitive algorithm exists for the fixed booking variant, where. It is also proved that no O(L)-competitive algorithm exists for the variable booking variant.

Original languageEnglish
Title of host publicationCombinatorial Optimization and Applications - 13th International Conference, COCOA 2019, Proceedings
EditorsYingshu Li, Mihaela Cardei, Yan Huang
PublisherSpringer
Pages340-351
Number of pages12
ISBN (Print)9783030364113
DOIs
StatePublished - 2019
Event13th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2019 - Xiamen, China
Duration: 13 Dec 201915 Dec 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11949 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2019
Country/TerritoryChina
CityXiamen
Period13/12/1915/12/19

Keywords

  • Car-sharing system
  • Competitive analysis
  • General network
  • Online scheduling

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