An Easy-Hard-Easy Cost Profile in Distributed Constraint Satisfaction(Knowledge Processing)

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We first present an algorithm called multi-ABT as a baseline algorithm for solving distributed constraint satisfaction problems where each agent has multiple local variables. Then, we show a cost profile of multi-ABT for various numbers of intra-agent constraints (constraints denned over variables of one agent) and inter-agent constraints (constraints defined over variables of multiple agents) in a distributed graph-coloring problem. This cost profile enabled us to make the following observations: (1) the satisfiability thresholds are identified in the narrow region on the x-y plane (where the x-axis is the number of intra-agent constraints and the y-axis is the number of inter-agent constraints) in which the sum of intra-and inter-agent constraints is constant, and problem instances in the region (called the crossover belt) are likely to be expensive in terms of the median cost; (2) among problem instances on the crossover belt, those with a smaller number of intra-agent constraints and a larger number of inter-agent constraints may be more expensive; and (3) for a fixed total number of variables, problem instances on the crossover belt may be more expensive as the number of agents increases or the number of variables per agent decreases. Our further experiments suggest that these observations can be generalized to cases where different algorithms are applied or different sets of parameters of the problem are used.
一般社団法人情報処理学会の論文
2004-09-15

An Easy-Hard-Easy Cost Profile in Distributed Constraint Satisfaction(Knowledge Processing)

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