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AN EVOLUTIONARY ALGORITHM FOR SOLVING THE DISPATCHING PROBLEM
V. V. Kureichik, A. E. Saak, Vl.Vl. Kureichik2021-07-18Abstract ▼The paper considers one of the most important optimization tasks – the dispathing task that belongs
to the class of NP-complex optimization problems. The paper presents the formulation of this
problem. In Grid systems the array of users' requests for computer services is modelled by an extended
linear polyhedral of coordinate resource rectangles. In this case, dispatching is represented
by the localization of a linear polyhedron in the envelope of the area of computational and
time resources of the system according to the multipurpose criterion of the quality of the applied
assignment. Due to the complexity of this problem, the authors propose methods of evolutionary
modelling for its effective solution and describe a modified evolutionary search architecture.
Three additional blocks are introduced as a modification. This is a block of "external environment",
a block of evolutionary adaptation and a block of "unpromising solutions." The authors
have developed a modified evolutionary algorithm that uses the Darwin’s and Lamarck’s evolution
models. This makes it possible to significantly reduce the time for obtaining the result, partially
solve the problem of premature convergence of the algorithm, and obtain sets of quasi-optimal
solutions in polynomial time. A software module has been developed in the C # language. A computational
experiment has carried out on test examples and shown that the quality of solutions
obtained on the basis of the developed evolutionary algorithm is, on average, 5 percent higher
than the results of solutions obtained using the known algorithms of sequential, initial-ring and
level at comparable time, which indicates the effectiveness of the proposed approach. -
BIOINSPIRED METHOD FOR CLASSIFICATION OF DISTRIBUTED RESOURCES FOR DISPATCHING IN GRID-COMPUTING
D.Y. Kravchenko , Y.A. Kravchenko, V.V. Markov , A. E. Saak2021-11-14Abstract ▼The article is devoted to solving the problem of scheduling distributed computing resources
based on their classification by the bioinspired search method to improve the efficiency of gridcomputing
functioning. The relevance of the problem is justified by a significant increase in the
demand for the paradigm of distributed computing in conditions of information overflow and uncertainty.
The article deals with the problems of scheduling heterogeneous computing resources
when solving complex professional and scientific problems arriving at different points in time,
based on the classification according to significant signs of resource compliance and readiness. A
comparative review of existing analogues is carried out. The formulation of the problem to be
solved in the context of the selected research topic is formulated. The strategy of choosing
bioinspired modeling for solving the problem has been substantiated. The aspects of various decentralized
bioinspired methods effectiveness of the use are analyzed. It is proposed to solve the
problem of scheduling computational resources based on determining the correspondence of the
resource to the required class. The classification is carried out on the basis of the bioinspired
optimization method application, built on the basis of the Fish School Search algorithm. The use of
the population bioinspired method allows us to provide unprecedented parallelism in obtaining
alternative solutions and to optimize the distribution of available computing resources depending
on the sets of significant features. The object of the research is the processes of data classification,
which include ordered sequences of actions aimed at the distribution of computing resources by
classes of problems to be solved. The subject of the research is bioinspired methods for solving the
problem of data classification in grid-computing. To evaluate the effectiveness of the proposed
method, a software application was developed and a computational experiment was carried outwith a different number of computing resources generated classes. Each computing resource has a
certain set of attributes, which is a vector of its features. The cosine measure of the similarity between
a resource attributes vector and a certain class attributes vector is a classification criterion.
To improve the quality of the dispatching process, the task of classifying computing resources is
solved for a variety of options for organizing the flows of complex tasks to be solved in gridcomputing.
The obtained quantitative estimates demonstrate the time savings in solving the problems
of scheduling distributed computing resources based on their classification by the bioinspired
search method at least 7 %. The time complexity in the considered examples was . The described
studies have a high level of theoretical and practical significance and are directly related
to the solution of artificial intelligence classical problems. -
CENTRAL-RING POLYNOMIAL ALGORITHM FOR DISTRIBUTION OF COMPUTATION-TIME RESOURCES IN GRID SYSTEMS
D.Y. Kravchenko, Y.A. Kravchenko, E.V. Kuliev, A.E. Saak2022-08-09Abstract ▼The article is devoted to solving the problem of computational and time resources distribution
in grid systems based on the adaptation of polynomial algorithms to quadratic types of user applications.
The relevance of demand distribution validity problem for the distributed computing paradigm
in the context of information redistribution and uncertainty. The article deals with the problems of
scheduling heterogeneous computing resources in solving complex professional and scientific problems
achieved at different points in time, based on identifying resources by significant manifestations
of commitment and probability. A comparative review of consumption has been carried out. The
statement of the problem to be solved in the chosen research area is formulated. The problem of
scheduling a grid system with a centralized multiarchitecture, which uses the task solution of a
group-site, is substantiated. The use of this architecture requires the development of heuristic algorithms
for the distribution of computing resources, taking into account the properties of application
arrays and assessing the schedule compliance. Eliminating the occurrence of scheduling errors requires
the development of a formal apparatus that will identify the prospects of the application, introduce
their typing and build heuristic algorithms with quality assessment, selected for certain types.
The development of such a formal apparatus is an urgent task. An equally important task within the
framework of this mechanism is the construction of resource parity models and interaction between
users and the computing system models. The authors proposed to solve the problem of scheduling
computing resources based on the development and study of polynomial scheduling algorithms for
arrays of hyperbolic applications. The main theoretical accuracy of this study is the creation of a
formal scheduling apparatus, including the definition of resource sugar, as a model of user applications,
based on the performance of an operation in the scheduling environment on a set of resource
muscles. The scientific novelty of the research lies in the development of a central-ring polynomial
algorithm for the distribution of computational time resources in grid systems, which involves an
automatic scheduling algorithm for computing systems, adaptation to quadratic types of user applications
and improves the efficiency of computational time resources distribution. To evaluate the
developed efficiency of the software application algorithm and the conducted computational experiment
with rapidly generated classes of computational resources. Obtained comparative results of the
proposed algorithm practical efficiency experimental studies for the distribution of computational
and time resources. The described studies have a high level of theoretical and practical significance
and are directly related to the solution of artificial intelligence classical problems.








