Non-additive two-option ski rental
نویسندگان
چکیده
منابع مشابه
Ski 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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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...
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The multislope ski-rental problem [LPSR08a] is an extension of the classical ski-rental problem [KMRS88], where the player has several lease options in addition to the pure rent and buy options. In this problem an instance, which is the setting of the options, significantly affects the player’s performance. There is an algorithm that for a given instance, computes the best possible strategy [AI...
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In the Multislope Ski Rental problem, the user needs a certain resource for some unknown period of time. To use the resource, the user must subscribe to one of several options, each of which consists of a one-time setup cost (“buying price”), and cost proportional to the duration of the usage (“rental rate”). The larger the price, the smaller the rent. The actual usage time is determined by an ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2015
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2015.01.038