Author

# G. Natarajan

Bio: G. Natarajan is an academic researcher from VIT University. The author has contributed to research in topic(s): Interval (mathematics) & Transportation theory. The author has an hindex of 1, co-authored 3 publication(s) receiving 14 citation(s).

##### Papers

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VIT University

^{1}TL;DR: The mid-width method is an exact method developed on two independent transportation problems which are obtained from a fully integer transportation problem and is extended to fuzzy transportation problems.

Abstract: A new method namely, the mid-width method, is proposed herein for finding the optimal interval solution to an interval biomedical transportation problem in which shipping cost, supply and demand parameters are real intervals. The mid-width method is an exact method and is developed on two independent transportation problems which are obtained from a fully integer transportation problem. A numerical example in the field of pharmaceutical logistics is presented for understanding the solution procedure of the suggested method. Furthermore, the proposed method is extended to fuzzy transportation problems.

14 citations

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VIT University

^{1}TL;DR: The level maintain method will dispense the necessary determined support to decision-makers when they are handling time-related logistic problems in rough nature by finding all efficient solutions to a bottleneck-rough cost interval integer transportation problem.

Abstract: An innovative method, namely, level maintain method, is proposed for finding all efficient solutions to a bottleneck-rough cost interval integer transportation problem in which the unit transportation cost, supply, and demand parameters are rough interval integers and the transportation time parameter is an interval integer. The solving procedure of the suggested method is expressed and explained with a numerical example. The level maintain method will dispense the necessary determined support to decision-makers when they are handling time-related logistic problems in rough nature.

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TL;DR: This paper introduces a simplified presentation of a new computing procedure for solving the fuzzy Pythagorean transportation problem by extending the initial basic feasible solution and using an existing optimality method to obtain the cost of transportation.

Abstract: This paper introduces a simplified presentation of a new computing procedure for solving the fuzzy Pythagorean transportation problem. To design the algorithm, we have described the Pythagorean fuzzy arithmetic and numerical conditions in three different models in Pythagorean fuzzy environment. To achieve our aim, we have first extended the initial basic feasible solution. Then an existing optimality method is used to obtain the cost of transportation. To justify the proposed method, few numerical experiments are given to show the effectiveness of the new model. Finally, some conclusion and future work are discussed.

65 citations

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TL;DR: In this paper, the authors proposed a criterion of maximum profit intensity for transportation problems, in contrast to the known criteria of minimum expenses or minimum time for transportation, which synthesizes financial and time factors and has real economic sense.

Abstract: In this study criterion of maximum profit intensity for transportation problems, in contrast to the known criteria of minimum expenses or minimum time for transportation, is considered. This criterion synthesizes financial and time factors and has real economic sense. According to the purpose of this paper, the algorithm of the solution of such a transportation problem is constructed. It is shown that the choice is carried out among Pareto-optimal options. Moreover, the factor of time becomes defining for the high income from transportation, and the factor of expenses – at low ones. Not absolute but relative changes of numerator and denominator become important when the criterion represents the fraction (in this case – the profit intensity as the ratio of profit to time). A nonlinear generalization of such transportation problem is proposed and the scheme of its solution in a nonlinear case is outlined. Graphic illustrations of Pareto-optimal and optimal solutions of transportation problem by profit intensity criterion are also given.

4 citations

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01 Aug 2020

1 citations

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TL;DR: In the proposed method, the given FIITP is decomposed into two transportation problem as upper and lower and by applying row-column minima method so as to get the optimal interval solution.

Abstract: A new approach namely, row-column minima method is suggested to find an optimal interval solution for fully interval integer transportation problem (FIITP). In the proposed method, the given FIITP is decomposed into two transportation problem as upper (UBITP) and lower (LBITP) and by applying row-column minima method so as to get the optimal interval solution. Fuzzy concept, midpoint, centre, width, interval ordering and multiobjective technique were not used. The proposed method is easier and also, simply because of arithmetic calculation. Using the proposed method, the numerical example is illustrated.

1 citations

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TL;DR: The main purpose of the review paper is to recapitulate the existing form of various types of transportation problems and their systematic developments for the guidance of future researchers to help them classify the varieties of problems to be solved and select the criteria to be optimized.

Abstract: A systematic and organized overview of various existing transportation problems and their extensions developed by different researchers is offered in the review article. The article has gone through different research papers and books available in Google scholar, Sciencedirect, Z-library Asia, Springer.com, Research-gate, shodhganga, and many other E-learning platforms. The main purpose of the review paper is to recapitulate the existing form of various types of transportation problems and their systematic developments for the guidance of future researchers to help them classify the varieties of problems to be solved and select the criteria to be optimized.

1 citations