Towards Design of System Hierarchy (research survey)
arXiv:1212.1735
Abstract
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.
36 pages, 41 figures, 9 tables
References in corpus (9)
- Solving non-uniqueness in agglomerative hierarchical clustering using multidendrograms
- Dominator Tree Certification and Independent Spanning Trees
- Morphological methods for design of modular systems (a survey)
- Multicriteria Steiner Tree Problem for Communication Network
- Aggregation of Composite Solutions: strategies, models, examples
- Restructuring in Combinatorial Optimization
- Multi-Stratum Networks: toward a unified model of on-line identities
- Composite Strategy for Multicriteria Ranking/Sorting (methodological issues, examples)
- Towards Electronic Shopping of Composite Product