Ski rental with two general options

  • Authors:
  • Zvi Lotker;Boaz Patt-Shamir;Dror Rawitz

  • Affiliations:
  • Department of Communication Systems Engineering, Ben Gurion University, Beer Sheva 84105, Israel;School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel;Faculty Science and Science Education and Caesarea Rothschild Institute, University of Haifa, Haifa 31905, Israel

  • Venue:
  • Information Processing Letters
  • Year:
  • 2008

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Abstract

We define and solve a simple extension of the ski-rental problem [A.R. Karlin, M.S. Manasse, L. Rudolph, D.D. Sleator, Competitive snoopy caching, Algorithmica 3 (1) (1988) 77-119]. In the classical version, the algorithm needs to decide when to switch from renting to buying. In our version, no pure buy option is available: even after switching to the buy option, the algorithm needs to pay some reduced rent.