Design of a Computer-Aided Location Expert System Based on a Mathematical Approach

Martin Straka
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Martin Straka: Institution of Logistics and Transport, Faculty BERG, Technical University of Kosice, Park Komenskeho 14, 042 00 Kosice, Slovakia

Mathematics, 2021, vol. 9, issue 9, 1-25

Abstract: This article discusses how to calculate the location of a point on a surface using a mathematical approach on two levels. The first level uses the traditional calculation procedure via Cooper’s iterative method through a spreadsheet editor and a classic result display map. The second level uses the author-created computer-aided location expert system on the principle of calculation using Cooper’s iterative method with the direct graphical display of results. The problem is related to designing a practical computer location expert system, which is based on a new idea of using the resolution of a computer map as an image to calculate location. The calculated results are validated by comparing them with each other, and the defined accuracy for a particular example was achieved at the 32nd iteration with the position optima DC[ x (32) ; y (32) ] = [288.8;82.7], with identical results. The location solution in the case study to the defined accuracy was achieved at the 6th iteration with the position optima DC[ x ( 6 ); y ( 6 )] = [274;220]. The calculations show that the expert system created achieves the required parameters and is a handy tool for determining the location of a point on a surface.

Keywords: a mathematical approach to location; location; Cooper’s iterative method—CIM; system; expert system; computer-aided location—CAL; optimisation; case study (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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