Determination of time complexity, Data Structure & Algorithms

Assignment Help:

Determination of Time Complexity

The RAM Model

The random access model (RAM) of computation was devised through John von Neumann to study algorithms. In computer science, Algorithms are studied since they are independent of machine & language.

We will do all our design & analysis of algorithms depend on RAM model of computation:

  • Each "simple" operation (+, -, =, if, call) takes 1 step exactly.
  • Loops & subroutine calls are not easy operations, but based upon the size of the data and the contents of a subroutine.
  • Each of the memory access takes 1 step exactly.

The complexity of algorithms by using big-O notation can be described in the following way for a problem of size n:

  • Constant-time method is "order 1" : O(1). The time that needed is constant independent of the input size.
  • Linear-time method is "order n": O(n). The time needed is proportional to the input size. If input size doubles, then, the time to run the algorithm also will be doubles.
  • Quadratic-time method is "order N squared": O(n2). The time that needed is proportional to the square of input size. If the input size doubles, then, the time needed will enhance by four times.

The procedure of analysis of algorithm (program) involves analyzing each of the step of the algorithm. It based on the kinds of statements utilized in the program.


Related Discussions:- Determination of time complexity

State about the simple types - built-in types, State about the Simple types...

State about the Simple types - Built-In Types Values of the carrier set are atomic, that is, they can't be divided into parts. Common illustrations of simple types are inte

#title.structured programming, what do you understand by structured program...

what do you understand by structured programming?explain with eg. top down and bottem up programming technique

#binary search, Ask question #Minima binary search tree is used to locate t...

Ask question #Minima binary search tree is used to locate the number 43 which of the following probe sequences are possible and which are not? explainum 100 words accepted#

Program of insertion of an element in list, Program will demonstrate the in...

Program will demonstrate the insertion of an element at desired position /* Inserting an element into contiguous list (Linear Array) at particular position */ /* contiguous_

The complexity ladder, The complexity Ladder: T(n) = O(1). It is ca...

The complexity Ladder: T(n) = O(1). It is called constant growth. T(n) does not raise at all as a function of n, it is a constant. For illustration, array access has this c

Limitation of binary search, Limitation of Binary Search: - (i)  The co...

Limitation of Binary Search: - (i)  The complexity of Binary search is O (log2 n). The complexity is similar irrespective of the position of the element, even if it is not pres

Operations on b-trees, Operations on B-Trees Given are various operatio...

Operations on B-Trees Given are various operations which can be performed on B-Trees: Search Create Insert B-Tree does effort to minimize disk access and t

Non Recursive Algorithm to Traverse a Binary Tree, Q. Write down a non recu...

Q. Write down a non recursive algorithm to traverse a binary tree in order.                    Ans: N on - recursive algorithm to traverse a binary tree in inorder is as

Algorithm for binary search, Q. Write down the algorithm for binary search....

Q. Write down the algorithm for binary search. Which are the conditions under which sequential search of a list is preferred over the binary search?

Draw trace table and determine output of number, Draw trace table and deter...

Draw trace table and determine output from the following flowchart using following data: Number = 45, -2, 20.5

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd