Title
A Better bound of randomized algorithms for the multislope ski-rental problem.
Abstract
The multislope ski-rental problem is an extension of the classical ski-rental problem, where the player has several lease options in addition to the pure rent and buy options. For the additive general model, Lotker, Patt-Shamir and Rawitz [in: SIAM J. Discr. Math. 26 (2012) 718-736] obtained a randomized algorithm with the competitive ratio bounded by e-r(k)/r(0) /e-1. However, obtaining a better bound on the competitive factor as a function of the slopes parameters remains an open problem in their paper. In this paper, we study randomized algorithm for the additive multislope ski rental problem, and extend the competitive ratio bound e-r(k)/r(0) /e-1 proposed by Lotker et al. to e/e-1+r(k)/r(0)
Year
DOI
Venue
2017
10.1051/ita/2017009
RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS
Keywords
Field
DocType
Online algorithms,ski rental,randomized algorithms,competitive ratio
Ski rental problem,Randomized algorithm,Online algorithm,Mathematical optimization,Combinatorics,Open problem,Algorithm,Mathematics,Competitive analysis,Bounded function
Journal
Volume
Issue
ISSN
51
2
0988-3754
Citations 
PageRank 
References 
3
0.40
7
Authors
2
Name
Order
Citations
PageRank
Maolin Hu130.40
Wei-Jun Xu215414.56