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Izvestiya SFedU
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ISSN 1999-9429 print
ISSN 2311-3103 online
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  • MULTILEVEL APPROACH FOR HIGH DIMENSIONAL 3D PACKING PROBLEM

    V. V. Kureichik, А. Е. Glushchenko
    2020-07-20
    Abstract ▼

    The article considers one of the important combinatorial optimization problems, the problem
    of 3D packing of different elements in a fixed volume. It belongs to the class of NP-complex and difficult
    optimization problems. The paper presents and describes the formulation of the 3D packing
    problem, introduces a combined objective function that takes into account all the restrictions. Due to
    the complexity of this task, a multilevel approach is proposed. It is consisting in dividing the 3D packing
    problem into 3 subtasks and solving each subtask in a strict order. Moreover, for each of the
    subtasks a unique set of objects is defined that are not repeated in the remaining subtasks. To implement
    a multi-level approach, the authors developed a combined bio-inspired algorithm based onevolutionary and genetic search. This approach can significantly reduce the time to obtain the result,
    partially solve the problem of preliminary convergence of the algorithms and obtain sets of quasioptimal
    solutions in polynomial time. A software package was developed and computer-based algorithms
    for automated 3D packaging based on a combined bio-inspired search were implemented.
    A computational experiment was conducted on test examples (benchmarks). The packaging quality
    obtained on the basis of the developed combined bio-inspired algorithm is on average 5 % higher
    than the packaging results obtained using known algorithms, and the solution time is less than 5 % to
    20 %, which indicates the effectiveness of the proposed approach. The series of tests and experiments
    carried out made it possible to refine the theoretical estimates of the time complexity of the packaging
    algorithms. In the best case the time complexity of the O (n2) algorithms; in the worst, O (n3).

  • SOLUTIONS’ ENCODING IN EVOLUTIONARY METHODS FOR INSTRUMENTAL DESIGN PLATFORM

    E.V. Kuliev, А. А. Lezhebokov, М. М. Semenova, V.A. Semenov
    2020-07-20
    Abstract ▼

    The article considers current issues and analyzes the problems of three-dimensional integration
    and three-dimensional modeling that arise at the design stage during the solution of the
    problem of optimal planning of components of large and extra-large integrated circuits and case
    devices of electronic computing equipment. The main advantages of applying the principles of
    three-dimensional integration are presented and described in sufficient detail, which allow efficiently
    organizing the production of personalized electronics, optimally planning the configuration
    of large and ultra-large integrated circuits, taking into account thermal and energy characteristics.
    In the course of research, the authors developed an approach to encoding decisions based on
    an intelligent mechanism, which is characterized by the presence of built-in means of control of
    acceptable decisions. One of such tools that have experimentally proven their effectiveness is the
    built-in mechanism of “deadly mutations”, which takes into account the status of genes and predetermined
    restrictions on the final configuration of the housing of the designed device. A series of
    general approaches and specific algorithms for solving the planning problem based on the results
    of research by the author's team and modern approaches to solving NP-complete problems are
    proposed. The most important practically significant result of the research of the indicated problem
    is the developed software and instrumental design platform in the modern cross-platform Java
    programming language. The selected development technology allows you to use all the main advantages
    of modern multi-core and multi-processor architectures, to use software multi-threading
    to implement parallel schemes for solving combinatorial problems. The software and tool platform
    has a user-friendly interface, which allows you to effectively manage the process of solving the
    problem of planning the components of large and ultra-large integrated circuits of threedimensional
    integration by visualizing key performance indicators of algorithms on graphs and in
    text statistics blocks. The developed application software made it possible to carry out a series of
    computational experiments based on random data sets, as well as on open-data boron benchmarks
    for such tasks. The results of experimental studies have confirmed the theoretical estimates of the
    time complexity and effectiveness of the proposed approaches and algorithms, including the genetic
    algorithm, which uses the new decision coding mechanism proposed in the work.

  • DEVELOPMENT OF BIOHEURISTICS FOR CREATING AN INTELLECTUAL SUBSYSTEM FOR MAKING EFFECTIVE DECISIONS OF NP-HARD AND NP-DIFFICULT COMBINATORY-LOGICAL PROBLEMS ON GRAPHS

    D. V. Zaruba , E. V. Kuliev , D.Y. Zaporozhets , M. M. Semenova
    2021-11-14
    Abstract ▼

    The article is devoted to the solution of new topical problems that have arisen in the conditions
    of the modern development of information and nanometer technologies in the field of design,
    as well as the development of new innovative methods that provide effective solutions in polynomial
    time. The article deals with the problem of solving NP-hard problems. The description of the
    procedure for measuring the complexity of the problem is presented the features of NP-hard and
    NP-difficult combinatorial logic problems are described. The main differences between the tasks
    are presented, as well as the problems that one has to face when solving this type of task. The general
    decision-making scheme is presented, consisting of the problem formulation; decisionmaking;
    signal in automatic systems and feedback. At the second stage (formation and selection of
    solutions), the solution is based on a bioinspired algorithm for finding solutions to the traveling
    salesman problem. To solve this problem, a modified bioinspired algorithm based on the behaviorof an ant colony was developed. Unlike other optimization methods, metaheuristic algorithms can
    find global optimal solutions for problems where there are many local solutions due to their random
    nature. These reasons have led to the widespread use of such algorithms in solving various
    optimization problems. Bioinspired algorithms are becoming a new revolution in the field of solving
    optimization problems. The statement of the traveling salesman problem is presented, as well
    as the solution of the problem on the basis of the ant algorithm. Algorithms such as genetic algorithms
    and PSO can be very useful, but they still have some disadvantages in solving multimodal
    optimization problems. These algorithms can find optimal solutions regardless of the physical
    nature of the problem. In the framework of experimental studies, the analysis of the work of
    bioinspired algorithms was carried out: the algorithm of a flock of bats, the bacterial algorithm
    and the ant algorithm.

  • INTELLIGENT SUBSYSTEM FOR DECISION SUPPORT BASED ON BIOLOGICALLY PLAUSIBLE ALGORITHMS FOR SELF-ORGANIZATION

    E.V. Kuliev , M.P. Krivenko, М.М. Semenova, S. V. Ignatieva
    2021-11-14
    Abstract ▼

    The article discusses the basic concepts and definitions of decision support systems based
    on self-organization. Decision Support Systems refers to a range of interactive computer systems
    that help to use data, models, and knowledge to solve semi-structured, unstructured, or unstructured
    problems. The diagram of the basic structure of the decision support system is shown and
    described. Three main components of Decision Support Systems are considered, and a case is
    described when the fourth component of a decision support system - a knowledge-based management
    system - can be applied. The article offers a description of an intelligent decision support
    system. Examples of specialized intelligent decision support systems include intelligent marketing
    decision support systems and medical diagnostics systems, flexible manufacturing systems. The
    problems associated with making optimal decisions occupy an important place in computer-aided
    design and require improving methods and means of supporting optimal design processes at various
    stages. Self-organization algorithms inspired by wildlife are considered. Bioinspired algorithms
    are a representative class of self-organization algorithms. Bio-inspired computing mimics
    nature and uses the underlying concepts and behavior of these systems to solve complex problems.
    The article describes the algorithm for bats. An experimental analysis of the process of applying
    the self-organization algorithm in decision-making systems is carried out.

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