Affiliations: [a]
Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India
| [b]
Department of Mathematics, St. Joseph’s College of Engineering, Chennai, Tamil Nadu, India
Correspondence:
[*]
Corresponding author. N. Jose Parvin Praveena, Assistant Professor, Department of Mathematics, St. Joseph’s College of Engineering, Chennai, Tamil Nadu. E-mail: jose30102003@gmail.com.
Abstract: This research paper elucidates the significant role of Replacement problem in reliability optimization problems. Ambiguity and indeterminacy act as a plight in scheduling maintenance problems. When there is a need for replacement the devices of components work under the circumstances of the problem and the sustentation characteristics to reinstitute or restore the decrepit components of the systems. There is a vagueness associated with the elements performing intervals, erroneous, following assessment period create a new task in adjudicating optimal constituents’ distribution where it assessing future task effectively. In this paper, the group replacement model is solved using a special single valued octagonal Neutrosophic number. The formula for the De-Neutrosophication of the Octagonal Neutrosophic number is deduced by using the area removal method. MATLAB code is used in De-Neutrosophication and also delineating this effective work. The MATLAB program is being used in the replacement problem to find the optimal year of replacement. A numerical illustration is used for validating the replacement model to determine its persuasiveness. This replacement problem using MATLAB has not been initiated by any researchers. Analytically, the time consumption for this method is less and very effective when compared with other methods. A comparative analysis has also been conducted using SVNN.
Keywords: Neutrosophic number, replacement problem, Matlab, area removal method
