ARTICLE
TITLE

Determination of confluence points of parked vehicle demand by applying polynomial and interpolation functions.

SUMMARY

In this research work the implementation of a mathematical model to a road is carried out where the mathematical procedure is intended to be applied in the road of the urban sector of a municipality, mathematically modeling its behavior in order to find the strategic location of the parking lots and their vehicular capacities. Initially, according to a study carried out, it is obtained from some primary interpolation functions that are determined in the x direction from streets 2 to 7, the interpolation polynomials shown in the matrices are calculated, in such a way that the interpolation functions of streets 2 to 7 are obtained. Once these primary functions are obtained, the secondary interpolation functions of these streets are calculated, where the interpolation functions of the coefficients a, b, c and d are obtained. Finally, the surface equation is performed, where the number of vehicles parked in R3 is obtained, as well as the system of equations for the solution of the confluence points of the demand, thus obtaining the points within the study area.

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