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A Comparative Study Between Inventory Followed by Shortages and Shortages Followed by Inventory Under Trade-Credit Policy

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International Journal of applied and Computational mathematics 2015年第3期1卷 399-426页

作者： Khanra, S. Mandal, Buddhadev Sarkar, B. Department of Mathematics Tamralipta Mahavidyalaya Purba Medinipur Tamluk 721 636 India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 West Bengal India Department of Industrial & Management Engineering Hanyang University Ansan 426 791 Gyeonggi-do South Korea

This paper deals with a comparison between inventory followed by shortages model and shortages followed by inventory model with variable demand rate. It is assumed that the stock deteriorates over time which follows a two parameter Weibull distribution. Both the models are assumed fixed trade credit period to the retailer from the supplier. The model is solved analytically and the results are illustrated with numerical examples. © 2015, Springer India Pvt. Ltd.

关键词： Comparative study Permissible delay-in-payments Probabilistic deterioration Variable demand

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Connectivity index of m-polar fuzzy graph with application

Research Square

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Research Square 2021年

作者： Mandal, Sonia Pal, Madhumangal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 India

This paper brings in connectivity index of a m-polar fuzzy graph (mPFG) with its boundedness. We investigate how the connectivity index of a mPFG changes when a vertex or an edge is deleted. Some special types of vertices include m-polar fuzzy connectivity enhancing node(mPFCEN), m-polar fuzzy connectivity neutral node (mPFCNN), m-polar fuzzy connectivity reducing node (mPFCRN) with their properties are discussed. © 2021, CC BY.

关键词： Fuzzy sets

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An investigation on m-polar fuzzy saturation graph and its application

Research Square

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Research Square 2021年

作者： Mahapatra, Tanmoy Pal, Madhumangal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore721102 India

The saturation graph is a well-defined topic. But, saturation in a fuzzy graph was defined recently and investigated many properties. In a fuzzy saturation graph, only one saturation is considered for every vertex. In a m-polar fuzzy graph (mPFG), each vertex and edge has a m number of membership values. So, defining saturation for mPFG is not easy and needs some new ideas. By considering m saturation for each component out of m components of membership values of a vertex, we defined saturation in mPFG. α-saturation as well as β-saturation in mPFG is introduced here. Many interesting properties of it are also presented. α-vertex count and β-vertex count in mPFG are also studied and the upper bound on some well known mPFG is also found here. Finally, a real-life application using saturation in mPFG is also presented. © 2021, CC BY.

关键词： Graph theory

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Coordinating particle swarm optimization, ant colony optimization and k-opt algorithm for traveling salesman problem 3rd

Coordinating particle swarm optimization, ant colony optimiz...

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3rd International Conference on mathematics and Computing, ICMC 2017

作者： Khan, Indadul Maiti, Manas Kumar Maiti, Manoranjan Department of Computer Science Chandrakon Vidyasagar Mahavidyalaya Paschim-Medinipur West Bengal721201 India Department of Mathematics Mahishadal Raj College Mahishadal Purba-MedinipurWest Bengal721628 India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Paschim-Medinipur West Bengal India

ISBN: (纸本)9789811046414

In this paper combining the features of swap sequence and swap operation based Particle Swarm Optimization (PSO), Ant Colony Optimization (ACO) and K-Opt operation a hybrid algorithm is proposed to solve well known Traveling Salesman Problem (TSP). Interchange of two cities of a path of a TSP is known as swap operation and a sequence of such operations is called swap sequence. Using swap operation and swap sequence PSO operations are redefined to solve TSP. Here ACO is used a small number of iterations to generate initial swarm of PSO. Then PSO operations are made on this swarm a sufficient number of times to find optimal path. During PSO iterations if a particle does not change its position for a predefined number of iterations then K-Opt operation is made on it a finite number of times to improve its position. The algorithm is tested with bench mark test problems from TSPLIB and it is observed that algorithm is more efficient with respect to accuracy as well as execution time to solve standard TSPs (Symmetric as well as Asymmetric) compared to existing algorithms. Details of the proposed algorithm along with swap operation, swap sequence and K-opt operation for the algorithm are elaborately discussed for the readers. © Springer Nature Singapore Pte Ltd. 2017.

关键词： Ant colony optimization

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Identification of the Parameter of the Single-Phase Flow Model in the Reservoir with the Power Law of Filtration 5

Identification of the Parameter of the Single-Phase Flow Mod...

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5th International Conference on Problems of Cybernetics and Informatics, PCI 2023

作者： Gamzaev, Khanlar Leonov, Sergey Huseynzade, Sevil Kerimova, Sevinc Azerbaijan State Oil and Industry University Department of General and Applied Mathematics Baku Azerbaijan Department of Computer Engineering and Programming Kharkiv Ukraine

ISBN: (纸本)9798350319064

The process of unsteady flow of a single-phase liquid in a cylindrical reservoir arising under the elastic mode of reservoir development is considered. To describe this process, a power law of filtration is proposed for a single-phase flow in a porous medium. Within the framework of the proposed model, the task of identifying one parameter of the model characterizing the simulated reservoir system is set. To construct a discrete analog of the inverse problem, the finite difference method is used using an explicit-implicit approximation in time. To solve the resulting system of nonlinear equations, a special representation is proposed that allows reducing the nonlinear system to two independent systems of linear equations. As a result, an explicit formula is obtained for determining the approximate value of the desired reservoir parameter. Based on the proposed method, numerical experiments were carried out for model problems. © 2023 IEEE.

关键词： Filtration

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A fuzzy-stochastic approach to multi-objective inventory model of deteriorating items with various types of demand and time dependent holding cost

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OPSEARCH 2017年第2期43卷 117-131页

作者： Mahapatra, N. K. Maiti, M. Department of Mathematics Panskura Banamali College Purba Medinipur WB India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore WB India

Here, a multi-item, multi-objective inventory model of deteriorating items with stock and time dependent demands is formulated in fuzzy-stochastic environment with finite time horizon. In this model, it is assumed that setup cost of the items varies directly with the maximum inventory. Also, unit purchase cost is a random parameter represented by Normal distribution and the deterioration rate is imprecise in nature and defined by a trapezoidal fuzzy number. The model is reduced to an equivalent deterministic model using chance constrained and graded mean integration representation techniques. Single objective E- and V-models are solved using generalized reduced gradient (GRG) technique and multi-objective E-V model is solved by Augmented Fuzzy Max-Min Approach. The models are illustrated numerically.

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Application of Interval Type-2 Fuzzy Logic to polypropylene business policy in a petrochemical plant in India

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Journal of the Saudi Society of Agricultural Sciences 2018年第1期17卷 24-42页

作者： Jana, Dipak Kumar Castillo, Oscar Pramanik, Sutapa Maiti, Manoranjan Department of Engineering Science Haldia Institute of Technology Haldia Purba Midnapur 721 657 West Bengal India Tijuana Institute of Technology Tijuana Mexico Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 West Bengal India

This paper presents a new approach to predict the quality of polypropylene in petrochemical plants. The proposed approach constructs four different models, based on a large number of data collected from a renowned petrochemical plant in India and uses it to predict the polypropylene quality. The quality of polypropylene depends on the indices such as melt flow index and the xylene solubility of the product and the parameters controlling these two indices are hydrogen flow, donor flow, pressure and temperature of polymerization reactors. Mamdani Interval Type-2 Fuzzy Logic inference systems are formed for first time. The model outcomes are compared with the collected plant data and a sequence of sensitivity analysis elects the most suitable model from them. Some sensitivity analyses are provided using Fuzzy C-Means Clustering to the models. © 2015 The Authors

关键词： Fuzzy C-Means Clustering Fuzzy inference system Interval Type-2 Fuzzy Logic Polypropylene Product quality

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Multi-Objective Fuzzy Inventory Model For Deteriorating Items With Shortages Over A Finite Time Horizon

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OPSEARCH 2017年第4期40卷 252-277页

作者： Das, K. Roy, T. K. Maiti, M. Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India Department of Mathematics B. E. College (Deemed University) Howrah India

We consider here the inventory problems with infinite rate of replenishment in crisp and fuzzy environments over a finite time horizon for deteriorating multi-items taking time dependent demand and allowing shortages and equal replenishment cycles. Here, the objectives of maximizing the profit and minimizing the replenishment cost are imprecise in nature. Total shortage cost is assumed to be limited but vague and imprecise in non-stochastic sense. The impreciseness in the above objectives’ and constraint’ goals have been expressed by fuzzy linear Membership Functions (MFs). Under these assumptions, a Decision Maker (DM) is confronted with four possibilities depending upon the nature of the first and last cycles and he/she has to choose the best one for maximum profit-ratio (i.e. the ratio of total profit to total cost). Hence, both crisp and fuzzy models with different shortage criteria are developed and solved by the weighted fuzzy non-linear programming (WFNLP) and goal attainment methods (GAM). Fuzzy models have also been solved by an integrated goal attainment and fuzzy non-linear programming technique (GAFNLP). Models are illustrated with numerical examples and the results are compared.

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Uncertain multi-objective restricted solid transportation problem with budget and vehicle cost

UPB Scientific Bulletin, Series C: Electrical Engineering an...

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UPB Scientific Bulletin, Series C: Electrical Engineering and computer Science 2016年第1 1期78 78卷 161-174页

作者： Baidya, Abhijit Bera, Uttam Kumar Maiti, Manoranjan Department of Mathematics National Institute of Technology Agartala-West-Tripura India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University WB India

In this paper, we investigate six new transportation models with breakability and vehicle cost under some restriction on transported amount. An extra constraint on the total budget at each destination is imposed. Here six models are formulated under different environments such as crisp, stochastic and fuzzy. Using expected value of fuzzy number and chance constraint programming technique, we convert the respective fuzzy and random Models into its crisp equivalent. To get the preference of the objective function, we apply weighted sum method and a gradient based optimisation technique-generalised reduced gradient (GRG) method are applied and using LINGO-13 software to get the optimal solutions.

关键词： Stochastic systems

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Solution of interval-valued manufacturing inventory models with shortages

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World Academy of Science, Engineering and Technology 2010年 68卷 293-298页

作者： Chakrabortty, Susovan Pal, Madhumangal Nayak, Prasun Kumar Department of Applied Mathematics with Oceanology and computer Programming Vidyasagar University Midnapore India Department of Mathematics Bankura Christian College Bankura 722 101 India

A manufacturing inventory model with shortages with carrying cost, shortage cost, setup cost and demand quantity as imprecise numbers, instead of real numbers, namely interval number is considered here. First, a brief survey of the existing works on comparing and ranking any two interval numbers on the real line is presented. A common algorithm for the optimum production quantity (Economic lot-size) per cycle of a single product (so as to minimize the total average cost) is developed which works well on interval number optimization under consideration. Finally, the designed algorithm is illustrated with numerical example.

关键词： Manufacture

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