D1

From KS5 Mathematics
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Algorithms

  • Idea of an algorithm and implementation by flowchart
  • Bin packing (first fit, first fit decreasing, full bin)
  • Bubble sort
  • Quick sort
  • Binary search

Critical Path Analysis

  • Modelling of a project by an activity network, from a precedence table
  • Completion of precedence table for a given activity network
  • Algorithm for finding the critical path
  • Total float. Gantt (cascade) charts. Scheduling

Linear Programming

  • Formulation of linear programming problems
  • Solution of two variable linear programming problems by ruler or vertex methods
  • Consideration of problems with integer solutions

Matchings

  • Use of bipartite graphs for modelling matchings
  • Complete matchings and maximal matchings
  • Algorithm for obtaining a maximum matching

Networks

  • The minimum connector (minimum spanning tree) problem
  • Prim's algorithm (on graph or on matrix)
  • Kruskal's algorithm
  • Dijkstra's shortest path algorithm

Route Inspection

  • Algorithm for finding the shortest route around a network, travelling along every edge at least once and ending at the start vertex. The network will have up to four odd nodes

Revision

File:Revision quiz -d1 q2.pptx

File:Revision quiz - Mon.pdf