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

Sparse matrices, SPARSE MATRICES Matrices along with good number of zer...

SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)

Brute force, Determine the number of character comparisons made by the brut...

Determine the number of character comparisons made by the brute-force algorithm in searching for the pattern GANDHI in the text

Recursive function , Q. Write down the recursive function to count the numb...

Q. Write down the recursive function to count the number of the nodes in the binary tree.    A n s . R ecursive Function to count no. of Nodes in Binary Tree is writt

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

What are circular queues, What are circular queues?  Circular queue: St...

What are circular queues?  Circular queue: Static queues have a very large drawback that once the queue is FULL, even though we erase few elements from the "front" and relieve

Methods, what is folding method?

what is folding method?

Stack, implement multiple stacks ina single dimensional array. write algori...

implement multiple stacks ina single dimensional array. write algorithams for various stack operation for them.

Define linked list ?, Linked lists are among the most common and easiest da...

Linked lists are among the most common and easiest data structures. They may be used to implement various other common abstract data types, including queues, stacks, symbolic expre

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