Department of Mathematics, School of Mathematics and Physics, Three Gorges University, Yichang 443002, China
| Abstract: | In the context of the "rural revitalization" era, in response to the problems existing in the planning of underground gas pipeline laying routes at the township level in the city, how to save the consumption of pipeline raw materials and avoid unnecessary waste, and other optimization problems, the minimum support tree theory model of operations research graph theory and Kruskal optimization algorithm, namely edge algorithm or circle avoidance algorithm, combined with sky map GIS measurement technology and computer network optimization lingo programming technology, studied the overall layout of the underground gas pipeline network in Liangzhou District, Weiwu City, Gansu Province, established a 0-1 integer network planning model, applied GIS measurement data for optimization calculation, and combined with the reality that natural gas is basically covered in the urban area, the original model was modified, the original lingo program was modified, and a new one was carried out. Optimize the calculation and ensure that the results are in line with reality, The correct and feasible planning layout scheme provides a scientific and reliable overall implementation plan for local urban and rural construction bureaus, urban and rural planning bureaus, natural resource planning bureaus, and underground gas pipeline construction units, and has important reference value; The minimum support tree theory model established by graph theory, Kruskal optimization algorithm, and optimization calculation program have universal applicability. |
| Keywords: | Minimum Support Tree; 0-1 Integer Programming Model; Kruskal Algorithm; Township Level Underground Gas Pipeline Network; Planning Layout |
| DOI: | 10.57237/j.cst.2025.01.001 |
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