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On the Advice Complexity of One-Dimensional Online Bin Packing

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Frontiers in Algorithmics (FAW 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8497))

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Abstract

In this paper, we study the problem of the online bin packing with advice. Assume that there is an oracle with infinite computation power which can provide specific information with regard to each incoming item of the online bin packing problem. With this information, we want to pack the list L of items, one at a time, into a minimum number of bins. The bin capacity is 1 and all items have size no larger than 1. The total size of packed items in each bin cannot exceed the bin capacity. Inspired by Boyar et al’s work [1] of competitive ratio \(\frac{4}{3}\) [1] with two advice bits per item., we show that if the oracle provides three bits of advice per item, applying a different item classification scheme from Boyar et al’s we can obtain an online algorithm with competitive ratio \(\frac{5}{4}OPT+2\) to pack list L.

This work is supported by National Science Foundation of China under its General Projects funding #61170232, State Key Laboratory of Rail Traffic Control and Safety independent research grant RS2012K011, and Sun Yat-sen University 985 Project funding.

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Author information

Authors and Affiliations

  1. School of Computer and Information Technology, Beijing Jiaotong University, Beijing, China

    Xiaofan Zhao

  2. School of Information Science and Technology, Sun Yat-sen University, China

    Hong Shen

  3. School of Computer Science, University of Adelaide, Australia

    Hong Shen

Authors
  1. Xiaofan Zhao
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  2. Hong Shen
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Texas A&M University, USA

    Jianer Chen

  2. Cornell University, USA

    John E. Hopcroft

  3. School of Information Science and Engineering, Central South University, 410083, Changsha, China

    Jianxin Wang

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Zhao, X., Shen, H. (2014). On the Advice Complexity of One-Dimensional Online Bin Packing. In: Chen, J., Hopcroft, J.E., Wang, J. (eds) Frontiers in Algorithmics. FAW 2014. Lecture Notes in Computer Science, vol 8497. Springer, Cham. https://doi.org/10.1007/978-3-319-08016-1_29

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  • DOI: https://doi.org/10.1007/978-3-319-08016-1_29

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08015-4

  • Online ISBN: 978-3-319-08016-1

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