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?

Darw a flowchart for inputs number of hours of sunshine, This algorithm inp...

This algorithm inputs number of hours of sunshine recorded every day for a week (7 days). Output is the highest value for hours of sunshine and average (mean) value for numbers of

Abstract data type-list, It is a useful tool for indicating the logical pro...

It is a useful tool for indicating the logical properties of data type. It is a collection of values & a set of operations on those values. Methodically, "a TYPE is a set, & elemen

How conquer technique can be applied to binary trees, How divide and conque...

How divide and conquer technique can be applied to binary trees?  As the binary tree definition itself separates a binary tree into two smaller structures of the similar type,

Estimate the probability that the noncritical path , An advertising project...

An advertising project manager developed the network diagram shown below for a new advertising campagign.  In addition, the manager gathered the time information for each activity,

Maximum numbers of nodes a binary tree of depth d, Maximum numbers of nodes...

Maximum numbers of nodes a binary tree of depth d The maximum numbers of nodes a binary tree of depth d can have is 2 d+1 -1.

Relationship between shortest path distances of modified, a) Given a digrap...

a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by usin

Write an algorithm to find outputs number of cars, A company is carrying ou...

A company is carrying out a survey by observing traffic at a road junction. Every time a car, bus or lorry passed by road junction it was noted down. 10 000 vehicles were counted d

Representation of a sparse matrix, Let us assume a sparse matrix from stora...

Let us assume a sparse matrix from storage view point. Assume that the entire sparse matrix is stored. Then, a significant amount of memory that stores the matrix consists of zeroe

Program for binary search, Illustrates the program for Binary Search. P...

Illustrates the program for Binary Search. Program: Binary Search /*Header Files*/ #include #include /*Functions*/ void binary_search(int array[ ], int value,

Depth of complete binary tree, What will be depth do , of complete binary t...

What will be depth do , of complete binary tree of n nodes, where nodes are labelled from 1 to n with root as node and last leaf node as node n

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