منابع مشابه
The Semi-stochastic Ski-rental Problem
In this paper, we introduce the semi-stochastic model for dealing with input uncertainty in optimization problems. This model is a hybrid between the overly pessimistic online model and the highly optimistic stochastic (or Bayesian) model. In this model, the algorithm can obtain only limited stochastic information about the future (i.e. about the input distribution)—as the amount of stochastic ...
متن کاملAnalysis of Lower Bounds for the Multislope Ski-Rental Problem
The multislope ski-rental problem is an extension of the classical ski-rental problem, where the player has several options of paying both of a per-time fee and an initial fee, in addition to pure renting and buying options. Damaschke gave a lower bound of 3.62 on the competitive ratio for the case where arbitrary number of options can be offered. In this paper we propose a scheme that for the ...
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Suppose you want to start a new hobby: skiing. In the ski shop, they give you the options to either rent skis or buy skis. If you know a priori how many days you will be skiing, then you can easily compute whether you should rent or buy right from the first day. This is an example of offline problems—all information is given at once, even future information. In the real world, you would not kno...
متن کامل2 Online Algorithms 2.1 Ski Rental Problem (rent-or-buy)
Online algorithms use a different model from what we’ve seen so far: the algorithm does not have the entire input at its beginning, but receives it piece by piece, sequentially, over time. After receiving each piece, the algorithm must immediately make a decision (updating a data structure, buying/selling stocks) which each have an associated cost. Ultimately, the goal of the algorithm is to mi...
متن کاملSki rental with two general options
We define and solve a simple extension of the ski-rental problem [4]. 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. We present an online algorithm for this problem with a matching lower bound.
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ژورنال
عنوان ژورنال: ACM SIGMETRICS Performance Evaluation Review
سال: 2014
ISSN: 0163-5999
DOI: 10.1145/2637364.2591984