The Complete Convergence of Best Fit Decreasing
Copyright policy )The Complete Convergence of Best Fit Decreasing
Summary: Consider a probability measure \(\mu\) on [0,1] and an independent sequence of random variables \(X_ 1,...,X_ n,..\). distributed according to \(\mu\). No regularity assumptions are made on \(\mu\). Denote by \(B(X_ 1,...,X_ n)\) the number of unit-size bins that are used by Best Fit Decreasing to pack items of size \(X_ 1,...,X_ n\). The existence of a constant b(\(\mu)\) is proven such that for each \(\epsilon >0\), \[ \sum_{n\geq 1}P(| n^{-1}B(X_ 1,...,X_ n)-b(\mu)| \geq \epsilon)<\infty. \]
Combinatorial optimization, Analysis of algorithms and problem complexity, complete convergence, probabilistic analysis, independent sequence of random variables, Operations research and management science, Numerical mathematical programming methods, Applications of queueing theory (congestion, allocation, storage, traffic, etc.), bin packing, probability measure, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), unit-size bins, Best Fit Decreasing, basic matching, approximation algorithm
Combinatorial optimization, Analysis of algorithms and problem complexity, complete convergence, probabilistic analysis, independent sequence of random variables, Operations research and management science, Numerical mathematical programming methods, Applications of queueing theory (congestion, allocation, storage, traffic, etc.), bin packing, probability measure, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), unit-size bins, Best Fit Decreasing, basic matching, approximation algorithm
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!