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Optimal randomized algorithm for a generalized ski-rental with interest rate
- Source :
- Information Processing Letters. 112:548-551
- Publication Year :
- 2012
- Publisher :
- Elsevier BV, 2012.
-
Abstract
- We introduce the continuously compounded interest rate into a generalized ski-rental problem with two options: either pay some rental proportionally to the usage time (the rent option), or buy the equipment and then pay some reduced rental proportionally to the usage time (the generalized buy option). Under the framework of competitive analysis, a randomized algorithm for the modified model is constructed and then is proved optimal by Yao@?s Lemma, and thus the optimal competitive ratio is obtained. The result shows that the introduction of the interest rate puts off the optimal purchase date and diminishes the uncertainty involved in the decision making.
- Subjects :
- Lemma (mathematics)
Mathematical optimization
Competitive analysis
business.industry
media_common.quotation_subject
Computer Science Applications
Theoretical Computer Science
Randomized algorithm
Interest rate
Renting
Signal Processing
business
Ski rental problem
Information Systems
Mathematics
media_common
Subjects
Details
- ISSN :
- 00200190
- Volume :
- 112
- Database :
- OpenAIRE
- Journal :
- Information Processing Letters
- Accession number :
- edsair.doi...........09cbb94c18914b5ea3b646ad0716a334