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Journal Article•

Fully Interval Integer Transportation Problem for Finding Optimal Interval Solution using Row- Column Minima Method

P. Indira, M. Jayalakshmi
25 Apr 2020-International Journal of Scientific & Technology Research-Vol. 9, Iss: 4, pp 1777-1781
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.

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Citations
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Journal Article•DOI•
A solution approach to time variant multi-objective interval transportation problems in material aspects

[...]

G. Sudha1, K. Ganesan1•
SRM University1
25 Feb 2021-Materials Today: Proceedings
TL;DR: This paper proposes a new approach, namely the Average Opportunity Cost Method (AOCM), where all the parameters of decision are chosen as interval numbers and can be applied by decision makers to real life transportation problems.

1 citations

References
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Journal Article•DOI•
The Distribution of a Product from Several Sources to Numerous Localities

[...]

Frank L. Hitchcock
01 Apr 1941-Journal of Mathematics and Physics

1,380 citations

"Fully Interval Integer Transportati..." refers methods in this paper

  • ...[1] developed to find an optimal solution for a wide range of TP, directly by using ASM method....

    [...]

Journal Article•DOI•
Optimum Utilization of the Transportation System

[...]

Tjalling C. Koopmans
01 Jul 1949-Econometrica
TL;DR: JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive as mentioned in this paper.
Abstract: JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. The Econometric Society is collaborating with JSTOR to digitize, preserve and extend access to Econometrica.

314 citations

Journal Article•
A New Method for Finding an Optimal Solution for Transportation Problems

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Abdul Quddoos, Shakeel Javaid, M. M. Khalid
01 Jul 2012-International Journal on Computer Science and Engineering
TL;DR: In this paper, a new method named ASM-Method is proposed for finding an optimal solution for a wide range of transportation problems, which requires very simple arithmetical and logical calculation.
Abstract: In this paper a new method named ASM-Method is proposed for finding an optimal solution for a wide range of transportation problems, directly. A numerical illustration is established and the optimality of the result yielded by this method is also checked. The most attractive feature of this method is that it requires very simple arithmetical and logical calculation, that's why it is very easy even for layman to understand and use. This method will be very lucrative for those decision makers who are dealing with logistics and supply chain related issues. Because of the simplicity of this method one can easily adopt it among the existing methods.

76 citations

Journal Article•DOI•
An innovative exact method for solving fully interval integer transportation problems

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A. Akilbasha1, P. Pandian1, G. Natarajan1•
VIT University1
01 Jan 2018-Informatics in Medicine Unlocked
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.

17 citations

Interval Linear Programming with generalized interval arithmetic

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G. Rames, K. Ganesan
01 Jan 2011
TL;DR: In this article, the authors define a linear programming problem involving interval numbers as an extension of the classical linear programming problems to an inexact environment, and propose a new simple ranking for interval numbers and new generalized interval arithmetic.
Abstract: Generally, vagueness is modelled by a fuzzy approach and randomness by a stochastic approach. But in some cases, a decision maker may prefer using interval numbers as coefficients of an inexact relationship. In this paper, we define a linear programming problem involving interval numbers as an extension of the classical linear programming problem to an inexact environment. By using a new simple ranking for interval numbers and new generalized interval arithmetic, we attempt to de- velop a theory for solving interval number linear programming problems without converting them to classical linear progra m- ming problems.

11 citations

"Fully Interval Integer Transportati..." refers methods in this paper

  • ...Purushoth kumar et.al [10] developed diagonal optimal algorithm to find the optimal for integer interval TP. Akilbasha et.al [3] developed mid-width method for fully interval TP. Keerthana and Ramesh [6] developed a method to solve FIITP without transforming into classical TP....

    [...]

  • ...[6] G. Ramesh, K. Ganesan, Interval Linear Programming with generalized interval arithmetic, International Journal of Scientific & Engineering Research, Vol. 2, pp.1-8, 2011....

    [...]

  • ...[13] G. Keerthana and G. Ramesh, A New Approach for Solving Integer Interval Transportation Problem with Mixed Constraints, Journal of Physics: Conference Series 1377 012043, pp. 1-14, 2019....

    [...]

  • ...Ramesh and Ganesan [11] developed simplex like algorithm to solve interval linear programming problem without changing into classical linear programming problems....

    [...]

  • ...Keerthana and Ramesh [6] developed a method to solve FIITP without transforming into classical TP....

    [...]

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