16. Minimum Spanning Tree problem using Kruskal's algorithm | Optimization using Excel скачать в хорошем качестве

16. Minimum Spanning Tree problem using Kruskal's algorithm | Optimization using Excel

This is the 16th video of the lecture series Optimization using Excel. Here we have discussed how to solve a minimum spanning tree problem using Kruskal's algorithm. The objective is to find a minimum spanning tree network from a given network arrangement of nodes. Complete module: 1 Introduction:    • 1.Introduction | Optimization using Excel   2. Introduction to LP:    • 2.Introduction to LP | Optimization using ...   3. Graphical method to solve an LP:    • 3.Graphical method an LP | Optimization us...   4. Introduction to Solver:    • 4.Introduction to Solver tool | Optimizati...   5. Product mix problem:    • 5.Solving a Product Mix Problem using Solv...   6. Sensitivity analysis:    • 6.Sensitvity and Answer reports | Optimiza...   7. Integer programming:    • 7.Integer programming & Binary Integer pro...   8. Transportation problem:    • 8.Transportation problem | Optimization us...   9. Transshipment problem:    • 9.Transshipment Problem | Optimization usi...   10. Assignment problem:    • 10.Assignment Problem | Optimization using...   11. Set covering problem:    • 10.Assignment Problem | Optimization using...   12. Blending:    • 12.Blending or Diet problem | Optimization...   13. Network flow introduction:    • 13.Network flow models (introduction) | Op...   14. Shortest path problems:    • 14. Shortest Path Problem | Optimization u...   15. Maxflow problem:    • 15. Maxflow problem | Optimization using E...   16. Minimum Spanning Tree problem (Kruskal’s):    • 16. Minimum Spanning Tree problem using Kr...   17. Minimum Spanning Tree problem (Prim’s):    • 17. How to solve the Minimum Spanning Tree...   18. Travelling Salesman Problem (ILP):    • 18. Travelling Salesman Problem (TSP) usin...   19. Introduction to NLP:    • 19. Introduction to Non-Linear Programming...   20. Use of GRG solver:    • 20. Solving a non-linear problem using the...   21. Job sequencing model using Evolutionary solver:    • 21. A Job Sequencing problem using the Evo...   22. Travelling Salesman Problem using NLP:    • 22. Travelling Salesman Problem (TSP) usin...   Spanning Tree and Minimum Spanning Tree What is meant by minimum spanning tree? A spanning tree of a graph is a collection of connected edges that include every vertex in the graph, but that do not form a cycle. Many such spanning trees may exist for a graph. The Minimum Spanning Tree is the one whose cumulative edge weights have the smallest value. What is minimum spanning tree with example? A minimum spanning tree is a special kind of tree that minimizes the lengths (or “weights”) of the edges of the tree. An example is a cable company wanting to lay line to multiple neighborhoods; by minimizing the amount of cable laid, the cable company will save money. A tree has one path joins any two vertices. What is minimum spanning tree algorithm? A Minimum Spanning Tree (MST) is a subset of edges of a connected weighted undirected graph that connects all the vertices together with the minimum possible total edge weight. To derive an MST, Prim's algorithm or Kruskal's algorithm can be used Which is better Prims or Kruskal? The advantage of Prim's algorithm is its complexity, which is better than Kruskal's algorithm. Therefore, Prim's algorithm is helpful when dealing with dense graphs that have lots of edges. However, Prim's algorithm doesn't allow us much control over the chosen edges when multiple edges with the same weight occur. What is BFS and DFS? BFS, stands for Breadth First Search. DFS, stands for Depth First Search. What is the benefit of a minimum spanning tree? Advantages: Spanning trees are used to avoid or prevent broadcast storms in spanning tree protocol when used in networks. This is also used in providing redundancy for preventing undesirable loops in the spanning tree or network.