Abstract
This chapter presents tools and applications of multi-stage optimization of element partition trees. It starts by describing how the set of element partition trees can be represented compactly in the form of a directed acyclic graph (DAG). It then suggests algorithms to count the number of element partition trees represented by a DAG and to optimize the corresponding set of element partition trees with respect to some criterion. The latter algorithm can be used for multi-stage optimization of element partition trees relative to a sequence of cost functions and for the study of totally optimal element partition trees that are optimal with respect to multiple criteria simultaneously. Finally, we present results of experiments on three different classes of adaptive meshes.
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AbouEisha, H., Amin, T., Chikalov, I., Hussain, S., Moshkov, M. (2019). Multi-stage Optimization of Element Partition Trees. In: Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining. Intelligent Systems Reference Library, vol 146. Springer, Cham. https://doi.org/10.1007/978-3-319-91839-6_14
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DOI: https://doi.org/10.1007/978-3-319-91839-6_14
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