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

Average case anaysis, what is the impoartance of average case analysis of ...

what is the impoartance of average case analysis of algorithm

Algorithm to sort a given list by quick sort method, Q. Write down an algor...

Q. Write down an algorithm to sort a given list by making use of Quick sort method. Describe the behaviour of Quick sort when input given to us is already sorted.

Design and test a reference array, Instructions Design and test a r...

Instructions Design and test a reference array. Reference array stores the references to user supplied objects of different types. Just think it as a heterogeneous array wh

Program, insertion and deletion in a tree

insertion and deletion in a tree

Psedocodes, write a pseudocode to input the top speed (in km''s/hours) of 5...

write a pseudocode to input the top speed (in km''s/hours) of 5000 cars output the fastest speed and the slowest speed output the average (mean) speed of all the 5000 cars answers

Define heap, HEAP  A heap is described to be a binary tree with a key i...

HEAP  A heap is described to be a binary tree with a key in every node, such that  1-All the leaves of the tree are on 2 adjacent levels. 2- All leaves on the lowest leve

Add the special form let to the metacircular interpreter, (1)  (i) Add the ...

(1)  (i) Add the special form let to the metacircular interpreter Hint: remember let is just syntactic sugar for a lambda expression and so a rewrite to the lambda form is all t

DAA, what do we use asymptotic notation in study of algorithm?Describe vari...

what do we use asymptotic notation in study of algorithm?Describe various asymptotic notation and give their significance.

Expression trees, What are the expression trees? Represent the below writte...

What are the expression trees? Represent the below written expression using a tree. Give a relevant comment on the result that you get when this tree is traversed in Preorder,

Graph with n vertices will absolutely have a parallel edge, A graph with n ...

A graph with n vertices will absolutely have a parallel edge or self loop if the total number of edges is greater than n-1

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