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Efficient sequential decision‐making algorithms for container inspection operations
Authors:David Madigan  Sushil Mittal  Fred Roberts
Affiliation:1. Department of Statistics Columbia University, New York;2. Department of Electrical and Computer Engineering Rutgers, The state university of New Jersey;3. DIMACS Rutgers, The State university of New Jersey
Abstract:Following work of Stroud and Saeger (Proceedings of ISI, Springer Verlag, New York, 2006) and Anand et al. (Proceedings of Computer, Communication and Control Technologies, 2003), we formulate a port of entry inspection sequencing task as a problem of finding an optimal binary decision tree for an appropriate Boolean decision function. We report on new algorithms for finding such optimal trees that are more efficient computationally than those presented by Stroud and Saeger and Anand et al. We achieve these efficiencies through a combination of specific numerical methods for finding optimal thresholds for sensor functions and two novel binary decision tree search algorithms that operate on a space of potentially acceptable binary decision trees. The improvements enable us to analyze substantially larger applications than was previously possible. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011
Keywords:sequential decision making  Boolean function  binary decision tree  container inspection  heuristic algorithms
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