000			02330 a2200277 4500
005			20181016121331.0
008			181010b xxu||||| |||| 00| 0 eng d
020			_a9783319918389
040			_cIIT Kanpur
041			_aeng
082			_a658.4032 _bEx84
245			_aExtensions of dynamic programming for combinatorial optimization and data mining _cHassan AbouEisha ...[et al.]
260			_aSwitzerland _bSpringer _c2019
300			_axvi, 280p
440			_aIntelligent systems reference library
490			_a/ edited by Janusz Kacprzyk; v.146
520			_aDynamic programming is an efficient technique for solving optimization problems. It is based on breaking the initial problem down into simpler ones and solving these sub-problems, beginning with the simplest ones. A conventional dynamic programming algorithm returns an optimal object from a given set of objects. This book develops extensions of dynamic programming, enabling us to (i) describe the set of objects under consideration; (ii) perform a multi-stage optimization of objects relative to different criteria; (iii) count the number of optimal objects; (iv) find the set of Pareto optimal points for bi-criteria optimization problems; and (v) to study relationships between two criteria. It considers various applications, including optimization of decision trees and decision rule systems as algorithms for problem solving, as ways for knowledge representation, and as classifiers; optimization of element partition trees for rectangular meshes, which are used in finite element methods for solving PDEs; and multi-stage optimization for such classic combinatorial optimization problems as matrix chain multiplication, binary search trees, global sequence alignment, and shortest paths. The results presented are useful for researchers in combinatorial optimization, data mining, knowledge discovery, machine learning, and finite element methods, especially those working in rough set theory, test theory, logical analysis of data, and PDE solvers. This book can be used as the basis for graduate courses
650			_aMulti stage optimization
650			_aPareto optimal
700			_aAbouEisha, Hassan
700			_aAmin, Talha
700			_aChikalov, Igor
700			_aHussain, Shahid
700			_aMoshkov, Mikhail
942			_cBK
999			_c559684 _d559684