Amortized efficiency of list update and paging rules
Communications of the ACM
Nearly optimal competitive online replacement policies
Mathematics of Operations Research
Online computation and competitive analysis
Online computation and competitive analysis
Delayed information and action in on-line algorithms
Information and Computation
On the On-line Number of Snacks Problem
Journal of Global Optimization
Evolution towards the Maximum Clique
Journal of Global Optimization
On-line k-Truck Problem and Its Competitive Algorithms
Journal of Global Optimization
Developments from a June 1996 seminar on Online algorithms: the state of the art
Developments from a June 1996 seminar on Online algorithms: the state of the art
On-Line Algorithms Versus Off-Line Algorithms: How Much is it Worth to Know the Future?
Proceedings of the IFIP 12th World Computer Congress on Algorithms, Software, Architecture - Information Processing '92, Volume 1 - Volume I
Average-Case Competitive Analyses for Ski-Rental Problems
ISAAC '02 Proceedings of the 13th International Symposium on Algorithms and Computation
Nearly optimal strategies for special cases of on-line capital investment
Theoretical Computer Science
Using generalized forecasts for online currency conversion
COCOON'99 Proceedings of the 5th annual international conference on Computing and combinatorics
Optimal on-line algorithms for variable-sized bin covering
Operations Research Letters
A Risk-Reward Competitive Analysis for the Newsboy Problem with Range Information
COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
The on-line rental problem with risk and probabilistic forecast
FAW'07 Proceedings of the 1st annual international conference on Frontiers in algorithmics
A risk-reward model for the on-line leasing of depreciable equipment
Information Processing Letters
Competitive analysis of two special online device replacement problems
Journal of Computer Science and Technology
The ski-rental problem with multiple discount options
Information Processing Letters
Risk-reward models for on-line leasing of depreciable equipment
Computers & Mathematics with Applications
Competitive strategy for on-line leasing of depreciable equipment
Mathematical and Computer Modelling: An International Journal
Hi-index | 0.00 |
Fujiwara and Iwama [In: The 13th Annual International Symposium on Algorithms and Computation, pp. 476---488 (2002)] first integrated probability distribution into the classical competitive analysis to study the rental problem. They assumed that the future inputs are drawn from an exponential distribution, and obtained the optimal competitive strategy and the competitive ratio by the derivative method. In this paper, we introduce the interest rate and tax rate into the continuous model of Fujiwra and Iwama [In: The 13th Annual International Symposium on Algorithms and Computation, pp. 476---488 (2002)]. Moreover, we use the forward difference method in different probabilistic environments to consider discrete leasing models both with and without the interest rate. We not only give the optimal competitive strategies and their competitive ratios in theory, but also give numerical results. We find that with the introduction of the interest rate and tax rate, the uncertainty involved in the process of decision making will diminish and the optimal purchasing date will be put off.