iterative-deepening
Solving the Traveling Tournament Problem with Iterative-Deepening A*
Uthus, David (Naval Research Laboratory) | Riddle, Patricia J. (University of Auckalnd) | Guesgen, Hans W. (Massey University)
We give an overview of our journal paper on applying iterative-deepening A* to the traveling tournament problem, a combinatorial optimization problem from the sports scheduling literature. This approach involved combining past ideas and creating new ideas to help reduce node expansion. This resulted in a state-of-the-art approach for optimally solving instances of the traveling tournament problem. It was the first approach to solve the classic NL10 and CIRC10 instances, which had not been solved since the problem’s introduction.
Time Complexity of Iterative-Deepening A*: The Informativeness Pathology (Abstract)
Lelis, Levi (University of Alberta) | Zilles, Sandra (University of Regina) | Holte, Robert Craig (University of Alberta)
Korf, Reid, and Edelkamp launched a line of research aimed at predicting how many nodes IDA* will expand with a given depth bound. This paper advances this line of research in three ways. First, we identify a source of prediction error that has hitherto been overlooked. We call it the "discretization effect." Second, we disprove the intuitively appealing idea that a "more informed" prediction system cannot make worse predictions than a ``less informed'' one. More informed systems are more susceptible to the discretization effect, and in our experiments the more informed system makes poorer predictions. Our third contribution is a method, called "Epsilon-truncation," which makes a prediction system less informed, in a carefully chosen way, so as to improve its predictions by reducing the discretization effect. In our experiments Epsilon-truncation improved predictions substantially.