منابع مشابه
Self-stabilizing Balls & Bins in Batches
A fundamental problem in distributed computing is the distribution of requests to a set of uniformservers without a centralized controller. Classically, such problems are modelled as static balls intobins processes, where m balls (tasks) are to be distributed to n bins (servers). In a seminal work,Azar et al. [4] proposed the sequential strategy Greedy[d] for n = m. When thrown,...
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The study of balls-into-bins games or occupancy problems has a long history since these processes can be used to translate realistic problems into mathematical ones in a natural way. In general, the goal of a balls-into-bins game is to allocate a set of independent objects (tasks, jobs, balls) to a set of resources (servers, bins, urns) and, thereby, to minimize the maximum load. In this paper ...
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Balls-into-bins games describe in an abstract setting several multiple-choice scenarios, and allow for a systematic and unified theoretical treatment. In the process that we consider, there are n bins, initially empty, and m = bcnc balls. Each ball chooses independently and uniformly at random k ≥ 3 bins. We are looking for an allocation such that each ball is placed into one of its chosen bins...
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Recent research suggests decentralised probabilistic protocols on support for multipeer communication. The protocols scale well and impose an even load on the system. They provide statistical guarantees for the reliability, i.e. an information sent from an arbitrary source will reach all its destinations. Analysing the reliability is based on modelling the propagation of events as an epidemic p...
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We consider the problem of extending the analysis of balls and bins processes where a ball is placed in the least loaded of d randomly chosen bins to cover deletions. In particular, we are interested in the case where the system maintains a fixed load, and deletions are determined by an adversary before the process begins. We show that with high probability the load in any bin is O(log log n). ...
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2018
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-018-0411-z