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The Power of Rejection in Online Bottleneck Matching

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Combinatorial Optimization and Applications (COCOA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8881))

Abstract

We consider the online matching problem, where \(n\) server-vertices lie in a metric space and \(n\) request-vertices that arrive over time each must immediately be permanently assigned to a server-vertex. We focus on the egalitarian bottleneck objective, where the goal is to minimize the maximum distance between any request and its server. It has been demonstrated that while there are effective algorithms for the utilitarian objective (minimizing total cost) in the resource augmentation setting where the offline adversary has half the resources, these are not effective for the egalitarian objective. Thus, we propose a new Serve-or-Skip bicriteria analysis model, where the online algorithm may reject or skip up to a specified number of requests, and propose two greedy algorithms: GriNN \((t)\) and Grin* \((t)\). We show that the Serve-or-Skip model of resource augmentation analysis can essentially simulate the doubled-server-capacity model, and then characterize the performance of GriNN \((t)\) and Grin* \((t)\).

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Author information

Authors and Affiliations

  1. Math and Computer Science Department, Southwestern University, Georgetown, TX, USA

    Barbara M. Anthony

  2. Department of Computer Science, Connecticut College, New London, CT, USA

    Christine Chung

Authors
  1. Barbara M. Anthony
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  2. Christine Chung
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Corresponding author

Correspondence to Christine Chung .

Editor information

Editors and Affiliations

  1. Zhejiang Normal University, Jinhua, Zhejiang, China

    Zhao Zhang

  2. University of Texas, Tyler, Texas, USA

    Lidong Wu

  3. University of Texas, Dallas, Texas, USA

    Wen Xu

  4. University of Texas, Dallas, USA

    Ding-Zhu Du

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Anthony, B.M., Chung, C. (2014). The Power of Rejection in Online Bottleneck Matching. In: Zhang, Z., Wu, L., Xu, W., Du, DZ. (eds) Combinatorial Optimization and Applications. COCOA 2014. Lecture Notes in Computer Science(), vol 8881. Springer, Cham. https://doi.org/10.1007/978-3-319-12691-3_30

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  • DOI: https://doi.org/10.1007/978-3-319-12691-3_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12690-6

  • Online ISBN: 978-3-319-12691-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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