Optimizing the Site Selection of Payment Stations Based on P-median Mathematical Model

Optimizing the Site Selection of Payment Stations Based on P-median Mathematical Model

Jiaying Yan¹ *, Gaozhen Ni¹

¹College of Electrical Engineering & New Energy, China Three Gorges University, Yichang, 443002, China.

Site selection is one of the classic problems in operations research. In this research, starting from a mathematical modeling example, a model was established to solve the site selection problem of 6 toll points in 52 cells. Taking the shortest distance between the residential area and the toll station as the objective function, this paper introduced 0-1 variables, established the P-median site selection model, and transformed the residents’ payment query problem into a linear programming problem. The Lingo software was used to solve the problem of positioning the 6 points as 1, 6, 14, 26, 28 and 36. This paper successfully applies the site selection model to the site selection of toll station, which has certain reference value to the site selection in real life

Keywords: P-median Site Selection Model; Linear programming; Dijkstra algorithm

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How to cite this article:
Jiaying Yan, Gaozhen Ni. Optimizing the Site Selection of Payment Stations Based on P-median Mathematical Model. Journal of eSciences, 2020; 3:10. DOI: 10.28933/esciences-2020-01-1605

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