信阳师范学院学报(自然科学版)
信暘師範學院學報(自然科學版)
신양사범학원학보(자연과학판)
JOURNAL OF XINYANG NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
4期
605-609,624
,共6页
尤磊%符利勇%宋新宇
尤磊%符利勇%宋新宇
우뢰%부리용%송신우
原条量材%最短路径%最大路径%拓扑排序
原條量材%最短路徑%最大路徑%拓撲排序
원조량재%최단로경%최대로경%탁복배서
tree-length scaling%the shortest path%the longest path%topological sort
在分析求解最短路径问题与求解最大路径问题差异的基础上,给出了一种在有向图中采用动态规划策略求解最大路径的算法,将其应用到原条量材网络图中求解原条最优量材问题;并提出了采用量材三角形优化原条量材网络图的一种优化方法,降低了算法的复杂度。通过实验验证了算法与优化方法的正确性与可行性。
在分析求解最短路徑問題與求解最大路徑問題差異的基礎上,給齣瞭一種在有嚮圖中採用動態規劃策略求解最大路徑的算法,將其應用到原條量材網絡圖中求解原條最優量材問題;併提齣瞭採用量材三角形優化原條量材網絡圖的一種優化方法,降低瞭算法的複雜度。通過實驗驗證瞭算法與優化方法的正確性與可行性。
재분석구해최단로경문제여구해최대로경문제차이적기출상,급출료일충재유향도중채용동태규화책략구해최대로경적산법,장기응용도원조량재망락도중구해원조최우량재문제;병제출료채용량재삼각형우화원조량재망락도적일충우화방법,강저료산법적복잡도。통과실험험증료산법여우화방법적정학성여가행성。
Based on the analysis of the similarities and differences between solving the shortest path problem and solving the longest path problem, an algorithm using the dynamic programming strategy was given to solve the longest problem in directed graph. The algorithm was applied to the tree-length scaling network to solve the optimal tree-length scaling problem. An optimization method using the tree-length scaling triangle was proposed to optimize tree-length scaling network. It reduced the complexity of the algorithm. The correctness and feasibility of the algorithm and optimi-zation methods were verified through the experiments.