The Convergence Time for Selfish Bin Packing
نویسندگان
چکیده
منابع مشابه
Bounds on the Convergence Time of Distributed Selfish Bin Packing
We consider a game-theoretic bin packing problem with identical items, and we study the convergence time to a Nash equilibrium. In the model proposed, users choose their strategy simultaneously. We deal with two bins and multiple bins cases. We consider the case when users know the load of all bins and cases with less information. We consider two approaches, depending if the system can undo mov...
متن کاملConvergence Time to Nash Equilibrium in Selfish Bin Packing
We consider a game-theoretic bin packing problem and we study the convergence time to a Nash equilibrium. We show that, if the best-response strategy is used, then the number of steps needed to reach Nash equilibrium is O(mw2 max + nwmax) and O(nkwmax), where n, m, k and wmax denotes, resp., the number of items, the number of bins, the number of distinct item sizes, and the size of a largest item.
متن کاملGeneralized selfish bin packing
Standard bin packing is the problem of partitioning a set of items with positive sizes no larger than 1 into a minimum number of subsets (called bins) each having a total size of at most 1. In bin packing games, an item has a positive weight, and given a valid packing or partition of the items, each item has a cost or a payoff associated with it. We study a class of bin packing games where the ...
متن کاملPrices of anarchy of selfish 2D bin packing games
We consider a game-theoretical problem called selfish 2-dimensional bin packing game, a generalization of the 1-dimensional case already treated in the literature. In this game, the items to be packed are rectangles, and the bins are unit squares. The game starts with a set of items arbitrarily packed in bins. The cost of an item is defined as the ratio between its area and the total occupied a...
متن کاملLinear time-approximation algorithms for bin packing
Simchi-Levi (Naval Res. Logist. 41 (1994) 579–585) proved that the famous bin packing algorithms FF and BF have an absolute worst-case ratio of no more than 4 , and FFD and BFD have an absolute worst-case ratio of 3 2 , respectively. These algorithms run in time O(n log n). In this paper, we provide a linear time constant space (number of bins kept during the execution of the algorithm is const...
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ژورنال
عنوان ژورنال: Acta Cybernetica
سال: 2018
ISSN: 0324-721X
DOI: 10.14232/actacyb.23.3.2018.8