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Novel symmetric numerical methods for solving symmetric mathematical problems

International Journal of Circuits, Systems and Signal Processing 2021年 15卷 1545-1557页

作者： Ibrahimov, V.R. Mehdiyeva, G.Y.U. Yue, Xiao-Guang Kaabar, Mohammed K.A. Noeiaghdam, Samad Juraev, Davron Aslonqulovich Institute of Control Systems named after Academician A.Huseynov BakuAZ1141 Azerbaijan Computational mathematics Baku State University BakuAZ1148 Azerbaijan Department of Computer Science and Engineering School of Sciences European University Cyprus Nicosia1516 Cyprus Institute of Mathematical Sciences Faculty of Science University of Malaya Kuala Lumpur50603 Malaysia Department of Mathematics and Statistics Washington State University PullmanWA99163 United States Industrial Mathematics Laboratory Baikal School of BRICS Irkutsk National Research Technical University Irkutsk664074 Russia Department of Applied Mathematics and Programming South Ural State University Lenin Prospect 76 Chelyabinsk454080 Russia Department of Natural Science Disciplines Higher Military Aviation School of the Republic of Uzbekistan Karshi City180100 Uzbekistan

—The mathematical model for many problems is arising in different industries of natural science, basically formulated using differential, integral and integro-differential equations. The investigation of these equations is conducted with the help of numerical integration theory. It is commonly known that a class of problems can be solved by applying numerical integration. The construction of the quadrature formula has a direct relation with the computation of definite integrals. The theory of definite integrals is used in geometry, physics, mechanics and in other related subjects of science. In this work, the existence and uniqueness of the solution of above-mentioned equations are investigated. By this way, the domain has been defined in which the solution of these problems is equivalent. All proposed four problems can be solved using one and the same methods. We define some domains in which the solution of one of these problems is also the solution of the other problems. Some stable methods with the degree p © 2021, North Atlantic University Union NAUN. All rights reserved.

关键词： Integrodifferential equations

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Correction to: Fully fuzzy multi-item two-stage fixed charge four-dimensional transportation problems with flexible constraints

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Granular Computing 2021年第4期7卷 799-799页

作者： Devnath, Sudeshna Giri, Pravash Kumar Sarkar Mondal, Seema Maiti, Manoranjan Department of Mathematics National Institute of Technology Durgapur Durgapur India Department of Mathematics Government General Degree College Dantan-II Kashmuli India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India

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Minimum 2-Tuple Dominating Set of an Interval Graph

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International Journal of Combinatorics 2011年第1期2011卷

作者： Tarasankar Pramanik Sukumar Mondal Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 Indiavidyasagar.ac.in Department of Mathematics Raja N. L. Khan Women′s College Vidyasagar University Midnapore 721102 India

The k -tuple domination problem, for a fixed positive integer k , is to find a minimum size vertex subset such that every vertex in the graph is dominated by at least k vertices in this set. The case when k = 2 is called 2-tuple domination problem or double domination problem. In this paper, the 2-tuple domination problem is studied on interval graphs from an algorithmic point of view, which takes O ( n 2 ) time, n is the total number of vertices of the interval graph.

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An Efficient Algorithm to Solve the Conditional Covering Problem on Trapezoid Graphs

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International Scholarly Research Notices 2011年第1期2011卷

作者： Akul Rana Anita Pal Madhumangal Pal Department of Mathematics Narajole Raj College Paschim Medinipur Narajole 721 211 India Department of Mathematics National Institute of Technology Durgapur 713209 Indianitdgp.ac.in Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 Indiavidyasagar.ac.in

Let G = ( V , E ) be a simple connected undirected graph. Each vertex v ∈ V has a cost c ( v ) and provides a positive coverage radius R ( v ). A distance d uv is associated with each edge { u , v } ∈ E, and d ( u , v ) is the shortest distance between every pair of vertices u , v ∈ V . A vertex v can cover all vertices that lie within the distance R ( v ), except the vertex itself. The conditional covering problem is to minimize the sum of the costs required to cover all the vertices in G . This problem is NP-complete for general graphs, even it remains NP-complete for chordal graphs. In this paper, an O ( n 2 ) time algorithm to solve a special case of the problem in a trapezoid graph is proposed, where n is the number of vertices of the graph. In this special case, d uv = 1 for every edge { u , v } ∈ E , c ( v ) = c for every v ∈ V ( G ), and R ( v ) = R , an integer >1, for every v ∈ V ( G ). A new data structure on trapezoid graphs is used to solve the problem.

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An Inventory Model with Finite Replenishment Rate, Trade Credit Policy and Price-Discount Offer

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Journal of Industrial Engineering 2013年第1期2013卷

作者： Biswajit Sarkar Shib Sankar Sana Kripasindhu Chaudhuri Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721-102 Indiavidyasagar.ac.in Department of Mathematics Bhangar Mahavidyalaya University of Calcutta Kolkata 743-502 Indiacaluniv.ac.in Department of Mathematics Jadavpur University Kolkata 700-032 Indiajadavpur.edu

When some suppliers offer trade credit periods and price discounts to retailers in order to increase the demand of their products, retailers have to face different types of discount offers and credits within which they have to take a decision which is the best offer for them to make more profit. The retailers try to buy perfect-quality items at a reasonable price, and also they try to invest returns obtained by selling those items in such a manner that their business is not hampered. In this point of view, we consider an economic order quantity (EOQ) model for various types of time-dependent demand when delay in payment and price discount are permitted by suppliers to retailers. The models of various demand patterns are discussed analytically. Some numerical examples and graphical representations are considered to illustrate the model.

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Hybrid multi-criteria decision-making method with a bipolar fuzzy approach and its applications to economic condition analysis

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Engineering Applications of Artificial Intelligence 2024年 132卷

作者： Jana, Chiranjibe Simic, Vladimir Pal, Madhumangal Sarkar, Biswajit Pamucar, Dragan Tamil Nadu Chennai602105 India Faculty of Transport and Traffic Engineering University of Belgrade VojvodeStepe 305 Belgrade11010 Serbia Yuan Ze University College of Engineering Department of Industrial Engineering and Management Taoyuan City320315 Taiwan Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore721102 India Department of Industrial Engineering Yonsei University 50 Yonsei-ro Sinchon-dong Seodaemun-gu Seoul03722 Korea Republic of Center for Global Health Research Saveetha Medical College Saveetha Institute of Medical and Technical Sciences Saveetha University Chennai Tamil Nadu 600077 India Department of Industrial Engineering and Management National Taipei University of Technology Taipei City 106344 Taiwan Department of Operations Research and Statistics Faculty of Organizational Sciences University of Belgrade Belgrade Serbia Department of Computer Science and Mathematics Lebanese American University Byblos 1102 2801 Lebanon

The bipolar fuzzy set and interval-valued bipolar fuzzy set efficiently analyse real-world problems where for each input of an object, there has counter information. This study's main objective is to lay a foundation for considering a new approach to the bipolar fuzzy hybrid operators tool applied in a realistic frame that contains uncertainties. In this view, some mixed aggregation operators, namely, the hybrid bipolar fuzzy weighted averaging geometric (H-BFWAG), hybrid bipolar fuzzy order weighted averaging geometric (H-BFOWAG), hybrid interval-valued bipolar fuzzy weighted averaging geometric (H-IVBFWAG), and hybrid interval-valued bipolar fuzzy order weighted averaging geometric (H-IVBFOWAG) operators are generated in bipolar fuzzy environment. A decision making approach is developed to build the multi-criteria decision making model. A numerical example is considered to study the different effects on various Indian economic sectors in the COVID-19 environment. Managerial implications are highlighted in between many industrial sectors on which the Indian economy depends and the country's gross domestic product depends on their inter-relationship. This study investigates COVID-19's impact on society and the economy in the Indian context. A comparative investigation is introduced with some pre-existing operators and the TOPSIS (technique for order of preference by similarity to ideal solution) approach to justify the proposed method. © 2024 Elsevier Ltd

关键词： COVID-19

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Formation of gas hydroxide of sulfur dioxide at liquid sulfur dioxide injection in a porous medium saturated with methane and water

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AIP Conference Proceedings 2019年第1期2141卷

作者： M. K. Khasanov S. R. Kildibaeva 1Department of Applied Informatics and Programming Faculty of mathematics and information technology Sterlitamak branch of Bashkir state University Lenin avenue 49 Sterlitamak 453100 Republic of Bashkortostan Russia

A mathematical model of injection of liquid sulfur dioxide into a porous medium saturated with water and methane, accompanied by the formation of SO2 gas hydrate on the frontal surface is presented. The dependences of the temperature and the coordinates for the formation front of sulfur dioxide gas hydrate on the pressure of the injection and the initial pressure of the layer are explored. It is established that at sufficiently high injection pressure values and the initial temperature of the layer, as well as the low values of the layer’s initial pressure, the temperature of the porous medium on the boundary of gas hydrate formation of sulfur dioxide may rise above the decomposition’s equilibrium temperature of the gas hydrate of sulfur dioxide. This corresponds to the appearance of a zone in a porous medium saturated with a mixture of water, sulfur dioxide and its gas hydrate, being in a state of phase equilibrium.

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Prevention of Japanese encephalitis with different control strategies considering environmental effects: A mathematical study

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AIP Conference Proceedings 2023年第1期2718卷

作者： K. Barman K. Maity R. N. Giri A. De Department of Mathematics Prabhat Kumar College Contai Purba Medinipur - 721404 West Bengal India Department of Mathematics Mugberia Gangadhar Mahavidyalaya Bhupatinagar Purba Medinipur-721425 W.B. India Department of Applied Mathematics with Oceonology and Computer Programming Vidyasagar University Midnapore 721102 India Department of Applied Sciences Haldia Institute of Technology Purba Medinipur - 721657 West Bengal India

Japanese encephalitis (JE), a public health problem for the entire world, is caused by a virus called Japanese encephalitis virus (JEV) which is spread by mosquitoes. According to WHO’s report, nearly 68000 clinical cases of JE are reported globally each year and approximately 13600 to 20400 are deaths. Here, a mathematical model of JE is formulated considering different control measures such as vaccination, treatment, insecticide and efforts to reduce environmental discharges. An explicit expression of basic reproduction number is formulated and the stability of disease-free and endemic equilibrium of the system is analyzed. In this paper, we have formulated an optimal control problem and analyzed different strategies considering the minimum cost for applying such strategies. We have investigated the results of fixed control for endemic equilibrium both numerically and graphically. We have solved the optimal problem numerically when control parameters are time-dependent by applying Runge-Kutta 4th order forward and backward method and presented graphically. In our present work, we discussed the best cost-effective control strategy to prevent Japanese encephalitis when we consider environmental discharges have a positive impact on the breeding of mosquitoes and the growth of the pig population.

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Corrigendum to ‘A single period inventory model with imperfect production and stochastic demand under chance and imprecise constraints’ [Eur. J. Oper. Res. 188 (2008) 121–139]

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European Journal of Operational Research 2013年第3期230卷 703-703页

作者： D. Panda S. Kar K. Maity M. Maiti Department of Engineering Science Haldia Institute of Technology Haldia Purba Medinipur Haldia West Bengal 721 657 India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India

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Eigenvalue tunneling and decay of quenched random network

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Physical Review E 2016年第6期94卷 062313-062313页

作者： V. Avetisov M. Hovhannisyan A. Gorsky S. Nechaev M. Tamm O. Valba N. N. Semenov Institute of Chemical Physics of the Russian Academy of Sciences 119991 Moscow Russia Department of Applied Mathematics National Research University Higher School of Economics 101000 Moscow Russia Chair of Programming and Information Technologies Yerevan State University Yerevan Armenia Institute of Information Transmission Problems Russian Academy of Sciences Moscow Russia Moscow Institute of Physics and Technology Dolgoprudny 141700 Russia Poncelet Laboratory Centre National de la Recherche Scientifique (UMI2615) Independent University of Moscow Moscow Russia P. N. Lebedev Physical Institute Russian Academy of Sciences 119991 Moscow Russia Physics Department Moscow State University 119992 Moscow Russia

We consider the canonical ensemble of N-vertex Erdős-Rényi (ER) random topological graphs with quenched vertex degree, and with fugacity μ for each closed triple of bonds. We claim complete defragmentation of large-N graphs into the collection of [p−1] almost full subgraphs (cliques) above critical fugacity, μc, where p is the ER bond formation probability. Evolution of the spectral density, ρ(λ), of the adjacency matrix with increasing μ leads to the formation of a multizonal support for μ>μc. Eigenvalue tunneling from the central zone to the side one means formation of a new clique in the defragmentation process. The adjacency matrix of the network ground state has a block-diagonal form, where the number of vertices in blocks fluctuates around the mean value Np. The spectral density of the whole network in this regime has triangular shape. We interpret the phenomena from the viewpoint of the conventional random matrix model and speculate about possible physical applications.

关键词： Clustering Collective behavior in networks Critical phenomena Evolving networks Network evolution Network phase transitions

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