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

Sorting algorithm, Sorting Algorithm A sorting algorithm is an algorit...

Sorting Algorithm A sorting algorithm is an algorithm which puts elements of a list in a certain order. The most-used orders are numerical order and lexicographical order. Eff

Shortest path dijkstras algorithm, * Initialise d & pi* for each vertex ...

* Initialise d & pi* for each vertex v within V( g ) g.d[v] := infinity  g.pi[v] := nil g.d[s] := 0; * Set S to empty * S := { 0 }  Q := V(g) * While (V-S)

Write an algorithm to illustrate this repeated calculation, The below formu...

The below formula is used to calculate n: n = (x * x)/ (1 - x). Value x = 0 is used to stop the algorithm. Calculation is repeated using values of x until value x = 0 is input. The

Explain in brief the asymptotic notations, Question 1 Write the different ...

Question 1 Write the different characteristics of an algorithm Question 2 Explain in brief the asymptotic notations Question 3 Write an algorithm of insertion sort and e

Assignment, How do I submit a three page assignment

How do I submit a three page assignment

Internal sorting, In internal sorting, all of the data to be sorted is obta...

In internal sorting, all of the data to be sorted is obtainable in the high speed main memory of the computer. We will learn the methods of internal sorting which are following:

Sorted list followed by a few "random" elements, You have to sort a list L ...

You have to sort a list L having of a sorted list followed by a few "random" elements. Which sorting methods would be especially suitable for this type of task?   Insertion sort

Explain in brief about the container, Explain in brief about the Container ...

Explain in brief about the Container An entity which holds finitely many other entities. Just as containers such as boxes, baskets, bags, pails, cans, drawers, and so for

Stack and queue, write a algorithsm in c to perform push and pop operation...

write a algorithsm in c to perform push and pop operations stastic implementation using array ?

Interest, I=PR/12 numbers of years : Interest Rate up to 1 years : 5...

I=PR/12 numbers of years : Interest Rate up to 1 years : 5.50 Up to 5 years : 6.50 More than 5 year : 6.75 please design an algorithm based on the above information

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