1.AOV and DagThe activity network can be used to describe the arrangement of the sub-projects in the production planning, construction process, production process, process flow and other projects.generally a project can be divided into several sub-projects, which are called activities (activity). With these activities completed, the whole project was completed. For example, the representative of the computer Professional course, learning is a project,
1. Concepts
In a directed graph that represents an engineering project, vertices are used to represent activity, and arcs are used to represent priority relationships between activities. In this way, directed graphs are used to represent active networks, activity on vertex network ). The most typical example is the priority relationship between the course and the course.
If all vertices in an AOV network are in the topological sequence, the
directed acyclic graph: acyclic directed graph, abbreviated DAG (Directed acycline graph).
A graph spanning tree is a forward tree, and a number of strongly connected components of a non-connected and forward graph generate a number of forward trees, which are formed to generate forests.
Application in engineering planning and managementIn addition to the simplest case, almost all projects can be divided into several sub-projects called "Activities", and these sub-projects are usual
In a direction diagram of a representation project, an activity is represented by a vertex, and an arc is used to denote the priority relationship between activities, such that a graph is a vertex representing an active network, which we call the AOV network (activity on Vextex Network). The arcs in the AOV network indicate that there is some kind of restriction relationship between the activities, the
Topological ordering as an application of diagrams, understanding the topological ordering must first understand the AoV diagram.The AoV network represents a vertex in a forward graph, with arcs representing the precedence relationship between vertices. As shown in the AOV network, if there is a path from the vertex VI to the vertex VJ, the vertex VI is the precu
I will introduce the basic storage methods, DFS and BFS, undirected graphs, Minimum Spanning Tree, shortest path, and active network (AOV and AOE) in detail.C ++Graph application. We have already introduced the first five aspects in the previous article. Today we will introduce the last one --Activity Network(AOV,AOE).
Activity Network (AOV, AOE)
This part is rel
DP has two uses in Dags, one is the longest path (shortest way) of fixed and starting pointsOne of the longest paths is the algorithm of the critical Path (AOE).Here is the code#include #include#defineMAXN 2001using namespacestd;inta[Ten],HEAD[MAXN],N,P,F[MAXN],TP[MAXN],DE[MAXN],DS[MAXN];structss{intTo,w,last;} X[MAXN* +];voidAddintAintBintc) {x[++p].to=b; X[p].last=Head[a]; X[P].W=C; Head[a]=p;}intdpinta) { if(f[a]!=0)returnF[a]; if(!de[a])return 0; intv=head[a],t=0; while(v) {if(DP (X[V].T
as the number of sides
while (K
i++;
Check the weight of section I on side E
Minimum Edge (U,V)
If the (u,v) join T is not the T-generating loop,
Then (u,v) joins T, and k++
}
C Language implementation:
C language implementation of the Kruskal algorithm, where the function find is to look for the vertex in the graph of the tree root node in the array father ordinal number. It should be explained that the data type of the vertex is defined as integral type in the program, and in practi
AOV Network and topology sequencing ㈠aov Network Concept in a direction graph, if a vertex is used to represent an activity, there is a direction to indicate the activity order, which is called the graph as the vertex of the active network, referred to as AoV net. In the AOV network, if there is a forward path from ver
ACM courseware (lecture_06) and query set learning notes
I. topological sorting
A full sequence of a set is obtained from an partial order of a set. In fact, all vertices in graph G are arranged in a linear order. Intuitively, partial order means that only some Members in the set can be compared, while full order means that all members in the set can be compared.
2. Perform topological sorting on a directed acyclic graph
Is to arrange all vertices in the graph into a linear sequence. If the ver
Topological sorting problems1. The minimum spanning tree and the terminal path belong to the graph application with loops. Topological sequencing and critical paths are non-ring graph applications. No loop, that is, there is no loop in the figure. 2. Topology sort description: In a forward diagram that represents project. Using vertices to represent activities and arcs to represent the priority relationship between activities , this kind of graph is called the
Topological sorting problems1. The minimum spanning tree and the terminal path belong to the graph application with loops. Topological sequencing and critical paths are non-ring graph applications. No loop, that is, there is no loop in the figure. 2. Topology sequencing Introduction: In a graph that represents a project, a vertex is used to represent the activity, and an arc is used to denote the priority relationship between the activities , so that the graph is called the net of the activity o
In a directed graph that represents a project, vertices are used to represent activity, and arcs are used to represent priority relationships between activities. Such Directed Graphs represent active networks for vertices, we call it activity on vextex network ). The arc in the AOV network indicates a certain constraint between activities. There cannot be a loop in the AOV network, so that the start of an a
First, the definition of topological ordering1.AOV mesh: In a graph that represents a project, a vertex is used to represent the activity, and an arc is used to denote the priority relationship between the activities, so that the graph is the vertex of the active network, called the AOV Network (activity on Vertex Network).2. Topology sequence: Set G={v,e} is a forward graph with n vertices, the vertex sequ
relationship between the various sub-projects (activities) in the whole project, it is possible to show that the vertices in the graph represent the activities (sub-works), the forward side of the graph represents the succession of activities, that is, the activity of the starting point of the edge is the pre-order activity of the end-point activity, Its end-of-activity. Usually, we put this vertex activity, the side represents the relationship between the activities of the graph called Vertex
One, one-factor variance analysisSingle-factor ANOVA has only one grouping variable, so the data looks like a multicolumn data frame, such asGrass Heath Arable1 3 6 192 4 7 33 3 8 84 5 8 85 6 9 96 12 11 117 21 12 128 4 11 119 5 NA 94 Na Na7 Na Na8 Na NaThe basic command for variance analysis is AOC (), and it needs to use the formula syntax, and the data structure is also the Predictor + factor, so for the previous data, if the direct use will be an error, we use the stack () command to convert
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