Classification via sequential testing
Kundakcıoğlu, Erhun Ömer and Kundakcıoğlu, Erhun Ömer (2004) Classification via sequential testing. [Thesis]
The problem of generating the sequence of tests required to reach a diagnostic conclusion with minimum average cost, which is also known as test sequencing problem, is considered. The test sequencing problem is formulated as an optimal binary AND/OR decision tree construction problem, whose solution is known to be NP-complete. The problem can be solved optimally using dynamic programming or AND/OR graph search methods (AO*, CF, and HS). However, for large systems, the associated computational effort with dynamic programming or AND/OR graph search methods is substantial, due to the rapidly increasing number of nodes in AND/OR search graph. In order to prevent the computational explosion, one-step or multistep lookahead heuristic algorithms have been developed to solve the test sequencing problem. Our approach is based on integrating concepts from the one-step lookahead heuristic algorithms and the strategies used in Huffman coding. The effectiveness of the algorithms is demonstrated on several test cases. The traditional test sequencing problem is generalized here to include asymmetrical tests. Our approach to test sequencing can be adapted to solve a wide variety of binary identification problems arising in decision table programming, medical diagnosis, database query processing, quality assurance, and pattern recognition.
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