Competitive Analysis for Online Leasing Problem with Compound Interest Rate
Author(s) -
Xingyu Yang,
Wei-Guo Zhang,
Weijun Xu,
Yong Zhang
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/156254
Subject(s) - competitive analysis , mathematics , interest rate , online algorithm , mathematical optimization , upper and lower bounds , mathematical economics , finance , economics , mathematical analysis
We introduce the compound interest rate into the continuous version of the online leasing problem and discuss the generalized model by competitive analysis. On the one hand, the optimal deterministic strategy and its competitive ratio are obtained; on the other hand, a nearly optimal randomized strategy is constructed and a lower bound for the randomized competitive ratios is proved by Yao's principle. With the help of numerical examples, the theoretical results show that the interest rate puts off the purchase date and diminishes the uncertainty involved in the decision making
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