2010 BalancedAllocationwithSuccinctR

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Abstract

Motivated by applications in guaranteed delivery in computational advertising, we consider the general problem of balanced allocation in a bipartite supply-demand setting. Our formulation captures the notion of deviation from being balanced by a convex penalty function. While this formulation admits a convex programming solution, we strive for more robust and scalable algorithms.

For the case of [math]\displaystyle{ L_1 }[/math] penalty functions we obtain a simple combinatorial algorithm based on min-cost flow in graphs and show how to precompute a linear amount of information such that the allocation along any edge can be approximated in constant time. We then extend our combinatorial solution to any convex function by solving a convex cost flow. These scalable methods may have applications in other contexts stipulating balanced allocation.

We study the performance of our algorithms on large real-world graphs and show that they are efficient, scalable, and robust in practice.

References

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 AuthorvolumeDate ValuetitletypejournaltitleUrldoinoteyear
2010 BalancedAllocationwithSuccinctRRavi Kumar
Saeed Alaei
Azarakhsh Malekian
Erik Vee
Balanced Allocation with Succinct RepresentationKDD-2010 Proceedings10.1145/1835804.18358722010