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Сравнительный анализ метаэвристических алгоритмов решения несимметричной задачи коммивояжёра
Системы управления и информационные технологии. 2017. № 3. С. 88-92.
Fomichev M.
Branch-and-bound algorithm for solving Traveling Salesman Problem is one of the most applied accurate algorithms to solve it. Metaheuristic algorithms for solving asymmetric Traveling Salesman Problem do not assure finding optimal solution, although they work “fast”. The combination of such algorithms with the branch-and-bound algorithm is analyzed in this article.
Fomichev M., Ulyanov M., Информационные технологии 2018 Т. 24 № 11 С. 698-704
Повышение временной эффективности программных реализаций метода ветвей и границ для асимметричной задачи коммивояжера может быть достигнуто как за счет выбора наиболее приемлемой структуры данных, обеспечивающей эффективные по времени операции с листьями поискового дерева решений, так и за счет использования дополнительной памяти для хранения усеченных матриц в листьях поискового дерева решений. Дополнительно могут быть предложены и ...
Added: January 26, 2020
Zhukova G., Ulyanov M., Fomichev M., Бизнес-информатика 2018 Т. 45 № 3 С. 20-28
For practical, important tasks in the fi elds of economics and logistics, as well as in a number of technical applications, it becomes necessary to solve the traveling salesman problem (TSP). Quite often, the features of these problems lead to the traveling salesman problem in asymmetric formulation (asymmetric traveling salesman problem, ATSP). Moreover, in some ...
Added: December 11, 2018
Zhukova G., Ulyanov M., Fomichev M., Автоматика и телемеханика 2019 № 11 С. 155-172
We present the results of a comparative statistical analysis of the time for solving the asymmetric traveling salesman problem (ATSP) with the branch-and-bound method (without precalculation of the tour) and with a hybrid method. The hybrid method consists of the Lin-Kernighan-Helsgaun approximate algorithm used to calculate the initial tour and the branch-and-bound method. We show ...
Added: November 10, 2019
Ulyanov M., Fomichev M., Головешкин В. А. et al., 2017 Т. 13 № 1 С. 19-24
The complexity of the individual traveling salesman problem was analyzed by means of mathematical statistics. The complexity is defined as a number of nodes of the decision tree created by the branch and bound algorithm. We obtained approximate representations for parameters of probability distribution of the natural logarithm of the complexity. These representations are functions ...
Added: September 26, 2017
Zhukova G., Ulyanov M., Fomichev M., Automation and Remote Control 2019 Vol. 80 No. 11 P. 2054-2067
We present the results of a comparative statistical analysis of the time for solving the asymmetric traveling salesman problem (ATSP) with the branch-and-bound method (without precalculation of the tour) and with a hybrid method. The hybrid method consists of the Lin–Kernighan–Helsgaun approximate algorithm used to calculate the initial tour and the branch-and-bound method. We show ...
Added: November 24, 2019
Batsyn M.V., Kalyagin V.A., Tulyakov D. N., / Институт прикладной математики им. М.В. Келдыша Российской академии наук. 2015. No. 91.
The Protein Structure Alignment Problem (PSAP) consists in finding the
best alignment of two proteins defined by their primary structures. It finds
the most similar substructure of two proteins. This problem is polynomially
reducible to the Maximum Clique Problem (MCP) for the protein alignment
graph. In this paper we present an efficient algorithm for the PSAP based on
our recent ...
Added: October 24, 2016
Ignatov A., Andrei Gorchakov, Open Computer Science 2020 Vol. 10 No. 1 P. 112-116
The paper describes a simulator of parallel Branch and Bound (BnB) method. Several subdomain trees for benchmark functions are analyzed, a characteristic Gaussian-like distribution is discovered. An algorithm of artificial tree generation is formulated according to this criterion. The process of simulator modeling is described, several computational experiments are conducted. Their results show a hyperbolic ...
Added: June 11, 2020
Ignatov A., Posypkin M., Communications in Computer and Information Science 2018 P. 511-522
The paper proposes an implementation of the Branch-and-Bound method for an enterprise grid based on the BOINC infrastructure. The load distribution strategy and the overall structure of the developed system are described with special attention payed to some specific issues such as incumbent updating and load distribution. The implemented system was experimentally tested on a ...
Added: October 18, 2019
Irina E. Utkina, Mikhail V. Batsyn, Ekaterina K. Batsyna, International Journal of Production Research 2018 Vol. 56 No. 9 P. 3262-3273
The Cell Formation Problem (CFP) is an important optimisation problem in manufacturing. It has been introduced in the Group Technology (GT) and its goal is to group machines and parts processed on them into production cells minimising the movement of parts to other cells for processing and maximising for each cell the loading of its ...
Added: March 11, 2018
Fomichev M., Ulyanov M., Головешкин В. А. et al., International Journal of Open Information Technologies 2016 Т. 4 № 12 С. 131-137
It is shown that the logarithm of the complexity (number of nodes in the decision tree of a branch and bound algorithm) of the individual traveling salesman problem is approximately normally distributed. We use a linear regression model (logarithm of the complexity — standard normal distribution) to estimate parameters of normal distribution, which fit the ...
Added: August 19, 2017
Ulyanov M., Fomichev M., Информационные технологии 2019 Т. 25 № 10 С. 590-595
The algorithm that implements the Branch and Bound method for solving the Traveling Salesman Problem is one of the common exact algorithms for solving it. Metaheuristic algorithms for solving this problem do not guarantee obtaining an exact solution, however they work "quickly". In order to reduce the nodes number of the generated decision tree in ...
Added: February 16, 2020
Головешкин В. А., Zhukova G., Ulyanov M. et al., Системы компьютерной математики и их приложения 2017 № 18 С. 136-138
В докладе рассматривается статистическая зависимость числа
порожденных вершин дерева решений и физического времени работы
программной реализации метода ветвей и границ для задачи
коммивояжера (TSP). На основе результатов вычислительного
эксперимента получено приближенное соотношение между числом
порожденных вершин (сложность индивидуальной TSP) и физическим
временем. Предлагается использовать это эмпирическое соотношение
для прогнозирования времени работы программы, решающей TSP с
числом «городов» больше 40. ...
Added: March 22, 2020
Fomichev M., Информационные технологии моделирования и управления 2018 Т. 109 № 1 С. 47-54
В современном мире промедление в секунду, или даже долю секунды, может стоить миллионы рублей. Заинтересованному лицу важно получить точный ответ на вопрос в кратчайшие сроки. Но, к сожалению, даже при ны- нешних вычислительных мощностях, многие задачи не могут быть решены точно за приемлемое время. ...
Added: March 22, 2020
San Segundo P., Nikolaev A., Batsyn M., Computers & Operations Research 2015 Vol. 64 P. 293-303
Many efficient exact branch and bound maximum clique solvers use approximate coloring to compute an upper bound on the clique number for every subproblem. This technique reasonably promises tight bounds on average, but never tighter than the chromatic number of the graph.
Li and Quan, 2010, AAAI Conference, p. 128–133 describe a way to compute even ...
Added: August 24, 2015
М. : Издательский центр «Российский государственный гуманитарный университет», 2019
Сборник включает 27 докладов международной конференции по компьютерной лингвистике и интеллектуальным технологиям «Диалог 2019», не вошедшие в ежегодник «Компьютерная лингвистика и интеллектуальные технологии», но рекомендованные Программным Комитетом к представлению на конференции. Для специалистов в области теоретической и прикладной лингвистики и интеллектуальных технологий. ...
Added: December 10, 2019
Karpov V. E., Karpova I. P., Procedia Engineering 2015 Vol. 100 P. 1459-1468
Work solutions are proposed for problems of leader definition and role distribution in homogeneous groups of robots. It is shown that transition from a swarm to a collective of robots with hierarchical organization is possible using exclusively local interaction. The local revoting algorithm is central to the procedure for choice of leader while redistribution of roles can ...
Added: March 14, 2015
Chernyshev S. V., Cherepanov E. A., Pankratiev E. V. et al., Journal of Mathematical Sciences 2005 Vol. 128 No. 6 P. 3487-3495
Added: January 27, 2014
Chuprikov P., Nikolenko S. I., Davydow A. et al., IEEE Transactions on Networking 2018 Vol. 26 No. 1 P. 342-355
Modern network elements are increasingly required to deal with heterogeneous traffic. Recent works consider processing policies for buffers that hold packets with different processing requirements (number of processing cycles needed before a packet can be transmitted out) but uniform value, aiming to maximize the throughput, i.e., the number of transmitted packets. Other developments deal with ...
Added: March 14, 2018
Sotnikova S., Динамика сложных систем 2012 № 3 С. 84-87
In article is described designed programme complex of the physical processes modeling, which also allows to conduct the identification printed node parameters (the physical model). On printed node designed the on-board secondary power supply source is realized. For it are designed relationship interfaces of controlling program with the known program of modeling and optimization. ...
Added: December 5, 2014
Skoptsov K. A., Sheshenin S., Galatenko V. V. et al., International Journal of Applied Mechanics 2016 Vol. 8 No. 2 P. 1650016-01-1650016-18
We present a method for evaluating elastic properties of a composite material produced by molding a resin filled with short elastic fibers. A flow of the filled resin is simulated numerically using a mesh-free method. After that, assuming that spatial distribution and orientation of fibers are not significantly changed during polymerization, effective elastic moduli of ...
Added: May 22, 2016
Malyshev D., Discrete Mathematics 2015 Vol. 338 No. 11 P. 1860-1865
We completely determine the complexity status of the 3-colorability problem for hereditary graph classes defined by two forbidden induced subgraphs with at most five vertices. ...
Added: April 7, 2014
Каз. : Издательство «Фэн» Академии наук Республики Татарстан, 2013
Материалы и доклады Шестой Всероссийской научно-практической конференции по имитацонному моделированию и его применению в науке и промышленности. ...
Added: December 14, 2013
Goncharov R., Сапанов П. М., Яшунский А. Д., Социология власти 2013 № 3 С. 57-72
В статье представлена технология, позволяющая собирать в полевых исследованиях пространственно локализованные данные об объектах городской среды. Технология основана на автоматической привязке фотографий к пространственным координатам. Приведен план полевых и камеральных мероприятий, предложены варианты ГИС-обработки собираемых таким образом данных. В качестве примера приведены данные об использовании белорусского языка в общественном пространстве городов Белоруссии. ...
Added: April 12, 2015
Borchmann D., Hanika T., Obiedkov S., Discrete Applied Mathematics 2020 Vol. 273 P. 30-42
We propose an algorithm for learning the Horn envelope of an arbitrary domain using an expert, or an oracle, capable of answering certain types of queries about this domain. Attribute exploration from formal concept analysis is a procedure that solves this problem, but the number of queries it may ask is exponential in the size ...
Added: October 29, 2019