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Two layers green supply chain imperfect production inventory model under bi-level credit period

Tékhne 2017年第2期15卷 124-142页

作者： A.K. Manna B. Das J.K. Dey S.K. Mondal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India Department of Mathematics Sidho-Kanho-Birsha University Purulia India Department of Mathematics Mahishadal Raj College Mahishadal India

This article focuses on an integrated production inventory model with rework of the imperfect units and stock dependent demands of the customer from several retailers. There is an opportunity to build a model to measure the amount of carbon emissions during the time of production and the corresponding rate of carbon emission parameters are random which follows Beta distribution. Here, the rate of imperfectness is assumed to be a function of time and production rate. In this paper, a manufacturer–retailer–customer chain system is developed in which the retailer gets an upstream trade credit period from the manufacturer and retailers offer a downstream trade credit period to customers to stimulate demand as well as sales and reduce inventory. The model has been developed as a profit maximization problem with respect to the manufacturer and retailers. Finally, several numerical examples and sensitivity analysis are provided to illustrate the model.

关键词： D24 D81 Supply chain Imperfect production Inventory Random carbon-emission Bi-level credit period

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Modeling and Analysis of an Imprecise Epidemic System with Optimal Treatment and Vaccination Control

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Biophysical Reviews and Letters 2018年第2期13卷 37-60页

作者： Anjana Das M. Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721101 West Bengal India Department of Mathematics Sura Mahamaya Balika Vidyalaya Panskura 721152 West Bengal India

In this paper, we propose and analyze a Susceptible-Vaccinated-Exposed-Infected-Recovered (SVEIR) type infectious disease model with imprecise parameters. Introducing the interval numbers in functional form, the SVEIR model is proposed and formulated. The existence of possible equilibrium points with their feasibility criteria and an explicit value of basic reproduction number is obtained. The asymptotic stability of the system at different equilibrium points are also discussed. Next by considering treatment and vaccination as two control parameters, an optimal control problem is formulated and solved. Finally, some computer simulation works are given in support of our analytical results.

关键词： Basic reproduction number imprecise parameter optimal control transcritical bifurcation

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Flexible Setup Cost and Deterioration of Products in a Supply Chain Model

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International Journal of applied and Computational mathematics 2016年第1期2卷 25-40页

作者： Sarkar, Biswajit Sett, Bimal Kumar Roy, Gargi Goswami, Adrijit Department of Industrial & Management Engineering Hanyang University Ansan 426-791 Gyeonggi-do South Korea Department of Mathematics Hooghly Mohsin College Chinsurah Hooghly 712 101 West Bengal India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India Department of Mathematics Indian Institute of Technology Kharagpur Kharagpur 721 302 India

Product reliability is of significant importance in today’s technological world. People rely more and more upon the sustained functioning of machinery and complex equipments for purposes such as health, economic welfare, safety, to name just a few. Thus, in a business arena, it is critical to assess the reliability of new products. In this model, a two echelon supply chain model with variable setup cost and deterioration cost are analyzed. The setup cost is directly proportional and the deterioration rate is inversely proportional to reliability. Algebraical procedure has been employed to obtain the optimal solution of this model. The objective is to minimize the total cost of the entire system by considering reliability as a decision variable. Some numerical examples, sensitivity analysis, and graphical representations are considered to illustrate the model. © 2015, Springer India Pvt. Ltd.

关键词： Closed-form solution Deterioration Reliability Supply chain management

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Analyzing the impact of machine learning and artificial intelligence and its effect on management of lung cancer detection in covid-19 pandemic

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Materials Today: Proceedings 2022年 56卷 2213-2216页

作者： Boddu, Raja Sarath Kumar Karmakar, Partha Bhaumik, Ankan Nassa, Vinay Kumar Vandana Bhattacharya, Sumanta Department of CSE Lenora College of Engineering Andhra Pradesh Rampachodavaram India Government of West Bengal Bikash Bhawan Salt Lake W.B. Kolkata India Dept. of Applied Mathematics With Oceanology and Computer Programming Vidyasagar University Midnapore India Department of Computer Science Engineering South Point Group of Institutions Sonepat Haryana India Department of Mathematics Dasmesh Khalsa College Zirakpur India Department of Science and Technology and Biotechnology MAKAUT India

Cancer victims, particularly those with lung cancer, are more susceptible and at higher danger of COVID-19 and associated consequences as a result of their compromised immune systems, which makes them particularly sensitive. Because of a variety of circumstances, cancer patients' diagnosis, treatment, and aftercare are very complicated and time-consuming during an epidemic. In such circumstances, advances in artificial intelligence (AI) and machine learning algorithms (ML) offer the capacity to boost cancer sufferer diagnosis, therapy, and care via the use of cutting technologies. For example, using clinical and imaging data combined with machine learning methods, the researchers may be able to distinguish among lung alterations induced by corona virus and those produced by immunotherapy and radiation. During this epidemic, artificial intelligence (AI) may be utilized to guarantee that the appropriate individuals are recruited in cancer clinical trials more quickly and effectively than in the past, which was done in a conventional and complicated manner. In order to better care for cancer patients and find novel and more effective therapies, It is critical that we move beyond traditional research methods and use artificial intelligence (AI) and machine learning to update our research (ML). Artificial intelligence (AI) and machine learning (ML) are being utilised to help with several aspects of the COVID-19 epidemic, such as epidemiology, molecular research and medication development, medical diagnosis and treatment, and socioeconomics. The use of artificial intelligence (AI) and machine learning (ML) in the diagnosis and treatment of COVID-19 patients is also being investigated. The combination of artificial intelligence and machine learning in COVID-19 may help to identify positive patients more quickly. In order to understand the dynamics of an epidemic that is relevant to artificial intelligence, when used in different patient groups, AI-based algorithms can quic

关键词： COVID-19

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Fuzzy k-competition graphs

Fuzzy k-competition graphs

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Science and Information Conference (SAI)

作者： Madhumangal Pal Sovan Samanta Anita Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India Department of Mathematics National Institute of Technology Durgapur Durgapur India

Fuzzy competition graph as the generalization of competition graph is introduced here. A generalization of fuzzy competition graph known as fuzzy k-competition graph is also defined. These graphs are related to fuzzy digraphs. Fuzzy neighbourhood graphs, which are related to fuzzy graphs are defined here. Some relations between fuzzy competition graphs and fuzzy neighbourhood graphs have been established. Also several results to find strong edges of the stated graphs are obtained.

关键词： Fuzzy sets Graph theory Environmental factors Biological system modeling Linear algebra Presses

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Interval-valued fuzzy threshold graph

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Pacific Science Review A: Natural Science and Engineering 2016年第1期18卷 66-71页

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

Interval-valued fuzzy threshold graph is an extension of fuzzy threshold graph. In this paper, interval-valued fuzzy threshold graph, interval-valued fuzzy alternating 4-cycle, and interval-valued fuzzy threshold dimension are defined, and certain properties are studied. It is demonstrated that every interval-valued fuzzy threshold graph can be treated as an interval-valued fuzzy split graph.

关键词： Interval-valued fuzzy threshold graph Fuzzy alternating 4-cycle Interval-valued fuzzy split graph Interval-valued fuzzy threshold dimension

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-Step fuzzy competition graphs

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Journal of applied mathematics and Computing 2014年第1期47卷 461-472页

作者： Samanta, Sovan Akram, Muhammad Pal, Madhumangal Department of Mathematics Joykrishnapur High School (H.S.) Tamluk India Department of mathematics University of the Punjab Lahore Pakistan Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India

Presently, fuzzy graph theory has wide applications in engineering and social networks. Based on the applications, different types of fuzzy graphs are defined. Among them the competition graph is significantly used to model ecological problems. This graph is one kind of intersection graph. Different competitions of real world have been designed by fuzzy competition graphs. One generalization of fuzzy competition graph, called $$m$$ -step fuzzy competition graph, is defined in this paper. Some related fuzzy graphs including fuzzy $$m$$ -step neighbourhood graph, fuzzy economic competition graphs and fuzzy $$m$$ -step economic competition graphs are introduced. Some properties of these new graphs have been investigated.

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Product of interval-valued fuzzy graphs and degree

Product of interval-valued fuzzy graphs and degree

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作者： Rashmanlou, Hossein Pal, Madhumangal Borzooei, Rajab Ali Mofidnakhaei, F. Sarkar, Biswajit Department of Computer Science University College of Adib Sari Iran Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India Department of Mathematics Shahid Beheshti University Tehran Iran Department of Physics Sari Branch Islamic Azad University Sari Iran Department of Industrial and Management Engineering Hanyang University Erica Campus Ansan Korea Republic of

Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they have many applications in networks. In this paper, at first we define three new operations on interval-valued fuzzy graphs namely strong product, tensor product and lexicographic product. Likewise, we study about the degree of a vertex in interval-valued fuzzy graphs which are obtained from two given interval-valued fuzzy graphs using the operations Cartesian product, composition, tensor and strong product of two interval-valued fuzzy graphs. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large interval-valued fuzzy graph as a combination of small, interval-valued fuzzy graphs and to derive its properties from those of the smaller ones. © 2018 - IOS Press and the authors. All rights reserved.

关键词： Image segmentation

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Cheating prevention in Visual Cryptography using steganographic scheme

Cheating prevention in Visual Cryptography using steganograp...

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International Conference on Issues and Challenges in Intelligent Computing Techniques (ICICT)

作者： Biswapati Jana Partha Chowdhuri auMadhumita Mallick auShyamal Kumar Mondal Department of Computer Science Vidyasagar University Paschim Medinipur India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Paschim Medinipur India

Visual Cryptography (VC) is a technique to encrypt a secret image into transparent shares such that stacking a sufficient number of shares reveals the secret image without any computation. Cheating is possible in the Visual Cryptographic Schemes (VCS) by dishonest or malicious participant called a cheater, may provide a Fake Share (FS) to cheat the other participants. To achieve cheating prevention in VC we have proposed a steganographic scheme to embed a secret message in each of the shares in random location during share generation phase called stego share. Before stacking receiver can extract hidden message from stego share for checking authentication of shares. In this method no verification share is required to prevent cheating in VC.

关键词： Silicon Cryptography

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Stability Analysis of Imprecise Prey-Predator Model 4th

Stability Analysis of Imprecise Prey-Predator Model

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4th IFIP TC 12 International Conference on Intelligence Science, ICIS 2020

作者： De, Anupam Khatua, Debnarayan Maity, Kalipada Panigrahi, Goutam Maiti, Manoranjan Department of Applied Sciences Haldia Institute of Technology Haldia West Bengal India Department of Basic Science and Humanities Global Institute of Science and Technology Haldia West Bengal India Department of Mathematics Mugberia Gangadhar Mahavidyalaya Contai West Bengal India Department of Mathematics National Institute of Technology Durgapur Durgapur West Bengal India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore West Bengal India

ISBN: (纸本)9783030748258

Since the last few decades, the prey-predator system delivers attractive mathematical models to analyse the dynamics of prey-predator interaction. Due to the lack of precise information about the natural parameters, a significant number of research works have been carried out to take care of the impreciseness of the natural parameters in the prey-predator models. Due to direct impact of the imprecise parameters on the variables, the variables also become imprecise. In this paper, we developed an imprecise prey-predator model considering both prey and predator population as imprecise variables. Also, we have assumed the parameters of the prey-predator system as imprecise. The imprecise prey-predator model is converted to an equivalent crisp model using "e" and "g" operator method. The condition for local stability for the deterministic system is obtained mathematically by analysing the eigenvalues of the characteristic equation. Furthermore, numerical simulations are presented in tabular and graphical form to validate the theoretical results. © 2021, IFIP International Federation for Information Processing.

关键词： Eigenvalues and eigenfunctions

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