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In this paper we provide an algorithmic approach to the study of online auctioning. From the perspective of the seller we formalize the auctioning problem as that of designing an algorithmic strategy that fairly maximizes the revenue earned by selling n identical items to bidders who submit bids online. We give a randomized online algorithm that is O(logB)-competitive against an oblivious adversary,...
We present a competitive analysis of the LRFU paging algorithm, a hybrid of the LRU (Least Recently Used) and LFU (Least Frequently Used) paging algorithms. We show that the competitive ratio of LRFU is $$ k + \left\lceil {\tfrac{{\log (1 - \lambda )}} {{\log \lambda }}} \right\rceil - 1 $$ , where $$ \tfrac{1} {2} \leqslant \lambda \leqslant 1 $$ 1 is the decay parameter used by the LRFU...
Admission control (call control) is a well-studied online problem. We are given a fixed graph with edge capacities, and must process a sequence of calls that arrive over time, accepting some and rejecting others in order to stay within capacity limitations of the network. In the standard theoretical formulation, this problem is analyzed as a benefit problem: the goal is to devise an online algorithm...
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