Logarithmic price of buffer downscaling on line metrics

نویسندگان

  • Marcin Bienkowski
  • Martin Böhm
  • Lukasz Jez
  • Pawel Laskos-Grabowski
  • Jan Marcinkowski
  • Jirí Sgall
  • Aleksandra Spyra
  • Pavel Veselý
چکیده

We consider the reordering buffer problem on a line consisting of n equidistant points. We show that, for any constant δ, an (offline) algorithm that has a buffer (1− δ) · k performs worse by a factor ofΩ(log n) than an offline algorithmwith buffer k. Inparticular, this demonstrates that theO(logn)-competitive online algorithmMovingPartition by Gamzu and Segev (ACM Trans. on Algorithms, 6(1), 2009) is essentially optimal against any offline algorithm with a slightly larger buffer.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 707  شماره 

صفحات  -

تاریخ انتشار 2018