Amortized algorithm analysis, Data Structure & Algorithms

Assignment Help:

In the amortized analysis, the time needed to perform a set of operations is the average of all operations performed. Amortized analysis considers as a long sequence of operations rather than just one and then gives a worst-case estimate. There are three different methods by which the amortized cost can be calculated and can be differentiated from the actual cost. The three methods are following:

Aggregate analysis: It determines the average cost of each operation. i.e., T(n)/n.

The amortized cost is similar for all operations.
Accounting method: The amortized cost is distinct for all operations & charges a credit as prepaid credit on some of the operations.

Potential method: It also has distinct amortized cost for each of operation and charges a credit as the potential energy to other operations.

There are special operations like stack operations (push, pop, multipop) and an increment that can be considered as instance to verify the above three methods.

Every operation over a splay tree and all splay tree operations take O(log n) amortized time.


Related Discussions:- Amortized algorithm analysis

Variable length codes, Variable length codes (Niveau I) Code the following ...

Variable length codes (Niveau I) Code the following sequence of integers (2, 4, 2, 8, 3, 1, 4, 5, 13, 2) with • unary codes • ? codes • d codes • Rice codes (for a suitable l) and

Queue be represented by circular linked list, Q. Can a Queue be represented...

Q. Can a Queue be represented by circular linked list with only one pointer pointing to the tail of the queue? Substantiate your answer using an example. A n s . Yes a

Estimate cost of an optimal diapath, Normally a potential y satisfies y r ...

Normally a potential y satisfies y r = 0 and 0 ³ y w - c vw -y v . Given an integer K³0, define a K-potential to be an array y that satisfies yr = 0 and K ³ y w - c vw -y v

Explain decision tree, Decision Tree A decision tree is a diagram that ...

Decision Tree A decision tree is a diagram that shows conditions and actions sequentially and therefore shows which condition is to be considered first, second and so on. It is

Cohen sutherland algorithm, Using the cohen sutherland. Algorithm. Find the...

Using the cohen sutherland. Algorithm. Find the visible portion of the line P(40,80) Q(120,30) inside the window is defined as ABCD A(20,20),B(60,20),C(60,40)and D(20,40)

Multiple queue, #questionalgorithm for implementing multiple\e queues in a ...

#questionalgorithm for implementing multiple\e queues in a single dimensional array

R. Studio, I need a person who has a good background in using R. Studio? I...

I need a person who has a good background in using R. Studio? In adition, a person who is good in using algorithms.

Create a binary tree , Create a class "box" that will contain a random inte...

Create a class "box" that will contain a random integer value v such that O

Explain the theory of computational complexity, Explain the theory of compu...

Explain the theory of computational complexity A  problem's  intractability  remains  the  similar  for  all  principal  models  of   computations    and   all reasonable inpu

Binary search tree bst, Describe Binary Search Tree (BST)? Make a BST for t...

Describe Binary Search Tree (BST)? Make a BST for the given sequence of numbers. 45, 36, 76, 23, 89, 115, 98, 39, 41, 56, 69, 48 Traverse the obtained tree in Preorder, Inord

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