Ski rental with two general options

Zvi Lotker, Boaz Patt-Shamir*, Dror Rawitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)365-368
Number of pages4
JournalInformation Processing Letters
Issue number6
StatePublished - 30 Nov 2008


  • Competitive analysis
  • Randomized algorithms
  • Ski rental


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