English

Note on Combinatorial Engineering Frameworks for Hierarchical Modular Systems

Optimization and Control 2013-04-02 v1 Artificial Intelligence Systems and Control

Abstract

The paper briefly describes a basic set of special combinatorial engineering frameworks for solving complex problems in the field of hierarchical modular systems. The frameworks consist of combinatorial problems (and corresponding models), which are interconnected/linked (e.g., by preference relation). Mainly, hierarchical morphological system model is used. The list of basic standard combinatorial engineering (technological) frameworks is the following: (1) design of system hierarchical model, (2) combinatorial synthesis ('bottom-up' process for system design), (3) system evaluation, (4) detection of system bottlenecks, (5) system improvement (re-design, upgrade), (6) multi-stage design (design of system trajectory), (7) combinatorial modeling of system evolution/development and system forecasting. The combinatorial engineering frameworks are targeted to maintenance of some system life cycle stages. The list of main underlaying combinatorial optimization problems involves the following: knapsack problem, multiple-choice problem, assignment problem, spanning trees, morphological clique problem.

Keywords

Cite

@article{arxiv.1304.0030,
  title  = {Note on Combinatorial Engineering Frameworks for Hierarchical Modular Systems},
  author = {Mark Sh. Levin},
  journal= {arXiv preprint arXiv:1304.0030},
  year   = {2013}
}

Comments

11 pages, 7 figures, 3 tables

R2 v1 2026-06-21T23:50:32.343Z