在“乡村振兴”的时代背景下,以长阳县龙舟坪镇为例,应用图论中的最小支撑树理论模型,结合卫星影像GIS测量技术,研究了镇辖村级地下燃气管网的规划布局,研究结果为当地城乡建设局与城乡规划部门提供了科学且可靠的总体实施方案,具有重要的参考价值。Under the era background of “rural revitalization”, taking Longzhouping Town of Changyang County as an example, the planning and layout of the village level underground gas pipeline network under the jurisdiction of the town was studied by using the minimum spanning tree theory model in graph theory and combining with the satellite image GIS measurement technology. The research results provide a scientific and reliable overall implementation plan for the local urban and rural construction bureau and the urban and rural planning department, which has important reference value.
限制性支撑树最大容量扩张问题(the maximum capacity expansion of spanning tree problem with constraints,MCESTC)是NP-难问题。针对MCESTC问题,采用允许增加支撑树长度值的双边替换策略设计了一个启发式算法进行求解,并证明了算法的正确性。最后,用实例阐述运用该算法求解问题的过程,从而验证算法的有效性。
