Four-layer framework for combinatorial optimization problems domain

  • Authors:
  • Mark Sh. Levin

  • Affiliations:
  • Inst. for Information Transmission Problems, Russian Academy of Sciences, 19 Bolshoj Karetny Lane, Moscow 127994, Russia

  • Venue:
  • Advances in Engineering Software
  • Year:
  • 2011

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Abstract

Four-layer framework for combinatorial optimization problems/models domain is suggested for applied problems structuring and solving: (1) basic combinatorial models and multicriteria decision making problems (e.g., clustering, knapsack problem, multiple choice problem, multicriteria ranking, assignment/allocation); (2) composite models/procedures (e.g., multicriteria combinatorial problems, morphological clique problem); (3) basic (standard) solving frameworks, e.g.: (i) Hierarchical Morphological Multicriteria Design (HMMD) (ranking, combinatorial synthesis based on morphological clique problem), (ii) multi-stage design (two-level HMMD), (iii) special multi-stage composite framework (clustering, assignment/location, multiple choice problem); and (4) domain-oriented solving frameworks, e.g.: (a) design of modular software, (b) design of test inputs for multi-function system testing, (c) combinatorial planning of medical treatment, (d) design and improvement of communication network topology, (e) multi-stage framework for information retrieval, (f) combinatorial evolution and forecasting of software, devices. The multi-layer approach covers 'decision cycle', i.e., problem statement, models, algorithms/procedures, solving schemes, decisions, decision analysis and improvement.