Research on Modeling of Land Leveling Problem

Research Area: Volume 7,Issue 4,July 2018 Year: 2018
Type of Publication: Article Keywords: The Smallest Amount of Earth and Stone, Square Grid Method, Enumeration Method, Linear Programming
Authors:
  • Xue Yao
Journal: IJEIR Volume: 7
Number: 4 Pages: 213-215
Month: July
ISSN: 2277-5668
Abstract:
In this paper, how to choose the appropriate position and excavation depth in a piece of mountain was studied, so that the total amount of earth and stone was the smallest when the total cost of filling and excavation was saved as much as possible. The idea of grid method and limit differential was used, and more advanced data was obtained by interpolation from adjacent elevation points by using MATLAB software. According to the elevation of the design site in the actual elevation of the mountain area, the filling depth or the excavation height is calculated. According to the rectangular volume formula, the earthwork volume of the filling and excavating area in each grid could be obtained. The sum of the two was the total filling amount and the total excavation amount. When solving the problem of the position of the plane of the site, the position coordinates were represented by the points in the matrix, and then each point was traversed in turn by the enumeration method until the point with the smallest amount of earth and stone was found in consideration of the minimum total cost of filling and boring, thereby the area and altitude of the entire site were determined

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