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The Design and Analysis of Constraint Networks for Uncertain Temporal Interval Relations

In recent years, many new backtracking algorithms for solving constraint satisfaction problems have been proposed. We adopt the Probabilistic Temporal Interval Network, which is based on characterizations of the set of search tree nodes visited by the backtracking algorithms. A Temporal Interval Network is a constraint satisfaction problem where the nodes are temporal intervals and the edges are uncertain interval relations. We attach a degree to each of Allenpsilas basic interval relations. An uncertain relation between two temporal intervals is represented as a disjunction of Allenpsilas probabilistic basic relations. We also discuss heuristic methods for optimizing the performance of the backtracking algorithm.