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Towards Design of System Hierarchy (research survey)

By Mark Sh. Levin


The paper addresses design/building frameworks for some kinds of tree-like and hierarchical structures of systems. The following approaches are examined: (1) expert-based procedures, (2) hierarchical clustering; (3) spanning problems (e.g., minimum spanning tree, minimum Steiner tree, maximum leaf spanning tree problem; (4) design of organizational 'optimal' hierarchies; (5) design of multi-layer (e.g., three-layer) k-connected network; (6) modification of hierarchies or networks: (i) modification of tree via condensing of neighbor nodes, (ii) hotlink assignment, (iii) transformation of tree into Steiner tree, (iv) restructuring as modification of an initial structural solution into a solution that is the most close to a goal solution while taking into account a cost of the modification. Combinatorial optimization problems are considered as basic ones (e.g., classification, knapsack problem, multiple choice problem, assignment problem). Some numerical examples illustrate the suggested problems and solving frameworks.Comment: 36 pages, 41 figures, 9 table

Topics: Mathematics - Optimization and Control, Computer Science - Artificial Intelligence, Computer Science - Networking and Internet Architecture, Electrical Engineering and Systems Science - Systems and Control, 68T20, 90C27, 90C29, 90C59, 90C90, G.1.6, G.2.1, G.2.3, H.4.2, I.2.8, J.6
Year: 2012
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