A New Approach to Find the Solution of Transportation Problem with Grey Parameters

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POUROFOGHI F.; DARVISHI SALOKOLAEI D.; Ardabili Saffar

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Journal Paper

Paper Information

Journal: Journal of Operational Research in its Applications Year:2021 | Volume:18 | Issue:2 (69) Page(s): 59-73

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Title

A New Approach to Find the Solution of Transportation Problem with Grey Parameters

Author(s)

POUROFOGHI F. | DARVISHI SALOKOLAEI D. | Ardabili Saffar | Issue Writer Certificate

Keywords

UncertaintyQ1

Interval Grey NumbersQ1

Grey TransportationQ1

SupplyQ2

DemandQ2

Abstract

In the real world, determining the exact amount of Supply and Demand in transportation problems due to changing economic conditions may be difficult; but we will be dealing with inaccurate data when transporting essential goods in the event of natural disasters or the movement of military equipment during a war. In this case, in order to deal with data Uncertainty and proper description of the parameters in the transport problem, we will need new approaches. One approach is to use grey systems theory and grey parameters in modeling such problems. Accordingly, in this paper, a new approach to solve the problem of grey transport is introduced, which determines the answer as grey numbers without the need to whiten the parameters with an approach based on comparing gray numbers. As a result, the Uncertainty of the input data will be well reflected in the obtained answers. To show the efficiency of the proposed method, examples are given and solved with the proposed method.

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APA: Copy

POUROFOGHI, F., DARVISHI SALOKOLAEI, D., & Ardabili, Saffar. (2021). A New Approach to Find the Solution of Transportation Problem with Grey Parameters. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 18(2 (69) ), 59-73. SID. https://sid.ir/paper/413393/en

Vancouver: Copy

POUROFOGHI F., DARVISHI SALOKOLAEI D., Ardabili Saffar. A New Approach to Find the Solution of Transportation Problem with Grey Parameters. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2021;18(2 (69) ):59-73. Available from: https://sid.ir/paper/413393/en

IEEE: Copy

F. POUROFOGHI, D. DARVISHI SALOKOLAEI, and Saffar Ardabili, “A New Approach to Find the Solution of Transportation Problem with Grey Parameters,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 18, no. 2 (69) , pp. 59–73, 2021, [Online]. Available: https://sid.ir/paper/413393/en

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