Price fluctuations: to buy or to rent

  • Authors:
  • Marcin Bienkowski

  • Affiliations:
  • Institute of Computer Science, University of Wroclaw, Poland

  • Venue:
  • WAOA'09 Proceedings of the 7th international conference on Approximation and Online Algorithms
  • Year:
  • 2009

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Abstract

We extend the classic online ski rental problem, so that the rental price may change over time. We consider several models which differ in the knowledge given to the algorithm: whereas the price development is unknown, an algorithm may have full, partial or no knowledge about the duration of the game. We construct algorithms whose competitive ratios are up to constant or logarithmic factors optimal.