What is Oscillating Sort?, Data Structure & Algorithms

Assignment Help:
For the Oscillating sort to be applied, it is necessary for the tapes to be readable in both directions and able to be quickly reversed. The oscillating sort is superior to the polyphase for more than 6 tape units. The oscillating sort derives its name from the fact that the sort is performed by oscillating between distributions and merging. Rather than distribute all the inputs to the tapes and then commence merging, some of the inputs are distributed, then merged, and then more are distributed. The sort works exactly if the number of initial runs is a power of T - 1 where T is the number of working tapes used in the sort. When the number of initial runs is not a power of T -1 it is assumed that dummy runs are present to make up the difference.

Principle: Distribute all the inputs to the tapes and then commence merging. Some of the inputs are distributed, and then merged, and then more are distributed. This process is repeated till a sorted list is obtained.

Algorithm:

1. Let A be the given list of N unsorted elements.

2. Let T be the number of working tapes and R be the number of runs.

3. Initialize an index variable I ß 2.

4. Distribute T - 1 runs one in each working tape leaving T[I] empty.

5. Merge the above runs and put the new run in T[I].

6. Increment the value of I.

7. Repeat steps 4 to 6 till all inputs are exhausted.

8. The runs of equal length are merged and placed in empty tape.

In this example, five tapes are used with four of them considered as the working tapes. The first one simply holds the input. Step 2 shows the first distribution phase in which records with values 14, 26, and 3 are distributed on tapes 3, 4 and 5 respectively. In step 3 these are merged backward and the run (3 14 26) is placed on tape 2. Once more distribution is done in step 4 leaving 15 on tape 2, 6 on tape 4, and 35 on tape 5. These are merged again and placed on tape 3. Step 6 is the final distribution phase placing 19, 28 and 22 on tapes 2, 3 and 5 respectively. In step 7 these are merged and placed on tape 4. At this point the inputs are exhausted and have three runs of equal length. These three runs are merged and placed on tape 5.

Related Discussions:- What is Oscillating Sort?

Write a function that performs the integer mod function, Write a function t...

Write a function that performs the integer mod function. Given the previous functions you have implemented already, this one should be a piece of cake. This function will find the

First class Abstract data type , 3. A function to convert a complex number ...

3. A function to convert a complex number in algebraic form to a complex number in phasor form

Graph & optimal scheduling, You are given an undirected graph G = (V, E) in...

You are given an undirected graph G = (V, E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1,2,...,W}, where W

Implement an open hash table, In a chained hash table, each table entry is ...

In a chained hash table, each table entry is a pointer to a collection of elements. It can be any collection that supports insert, remove, and find, but is commonly a linked list.

Explain the bubble sort algorithm, Explain the bubble sort algorithm. ...

Explain the bubble sort algorithm. Answer This algorithm is used for sorting a list. It makes use of a temporary variable for swapping. It compares two numbers at an insta

Define the term ''complexity of an algorithm, Define the term 'complexity o...

Define the term 'complexity of an algorithm; Complexity of an algorithm is the calculate of analysis of algorithm. Analyzing an algorithm means predicting the resources that th

Define tractable and intractable problems, Define tractable and intractable...

Define tractable and intractable problems Problems that can be solved in polynomial time are known as tractable problems, problems that cannot be solved in polynomial time are

Rotations in binary tree, H o w can you r ot a t e a B i n a r y...

H o w can you r ot a t e a B i n a r y Tr e e? E x pl a i n r i g h t a n d l eft r ot a tion s by taking an e x a mpl e.   If after

Applications of the queue, Write down any four applications of the queues. ...

Write down any four applications of the queues.                                                            Ans. A pp li cation of Queue is given below (i)  Queue is

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