2013/03/29 by Mark Sh. Levin, Levin, Mark Sh.
Business, Management and Accounting · Engineering · Mathematics · #68T20 #90-02 #90C27 #90C39 #90C59 #90C90 #93-2 #93A13 #93B50 #93B51 #Artificial Intelligence (cs.AI) #Diverse Scientific and Engineering Research #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #G.1.6 #G.2.1 #G.2.3 #G.4 #H.1.1 #I.2.8 #J.6 #Modeling, Simulation, and Optimization #Optimization and Control (math.OC) #Product Development and Customization #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1304.0030
openalex publication_date 2013/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.