Analyzing Algorithms

• Predict resource utilization

  

  Memory

  

  Running time

  
  

  
  

• Dependent on architecture

  

  Model of computation

  

  Sequential (RAM model)

  

  Parallel (PRAM model)

  
  

  
  

• Running Time = F(Problem Size)
  = F(Input Size)
  = number of primitive operations used to solve problem

  
  

  
  

• Input Size:

  

  Sorting: number of items

  

  Multiplication: number of bits, number of digits

  

  Graphs: number of vertices and edges