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arXiv · 1906.06863

A Generic Approach for Accelerating Belief Propagation based DCOP Algorithms via A Branch-and-Bound Technique

Ziyu Chen·Xingqiong Jiang·Yanchen Deng·Dingding Chen·Zhongshi He
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Abstract

Belief propagation approaches, such as Max-Sum and its variants, are a kind of important methods to solve large-scale Distributed Constraint Optimization Problems (DCOPs). However, for problems with n-ary constraints, these algorithms face a huge challenge since their computational complexity scales exponentially with the number of variables a function holds. In this paper, we present a generic and easy-to-use method based on a branch-and-bound technique to solve the issue, called Function Decomposing and State Pruning (FDSP). We theoretically prove that FDSP can provide monotonically non-increasing upper bounds and speed up belief propagation based DCOP algorithms without an effect on solution quality. Also, our empirically evaluation indicates that FDSP can reduce 97\% of the search space at least and effectively accelerate Max-Sum, compared with the state-of-the-art.

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Ziyu Chen, Xingqiong Jiang, Yanchen Deng, Dingding Chen, Zhongshi He. 2019-06-17. A Generic Approach for Accelerating Belief Propagation based DCOP Algorithms via A Branch-and-Bound Technique. https://arxiv.org/abs/1906.06863

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