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?

Column major representation, Column Major Representation In memory th...

Column Major Representation In memory the second method of representing two-dimensional array is the column major representation. Under this illustration, the first column of

Explain about the abstract data type, Explain about the Abstract data type ...

Explain about the Abstract data type Abstract data type (ADT) A set of values (the carrier set) and operations on those values

Define about the inheritance hierarchy, Define about the inheritance hierar...

Define about the inheritance hierarchy Languages Eiffel and D provide constructs in language for invariants and pre- and post conditions which are compiled into the code and ar

Binary tree construction, Construct a B+ tree for the following keys, start...

Construct a B+ tree for the following keys, starting with an empty tree.  Each node in the tree can hold a maximum of 2 entries (i.e., order d = 1). Start with an empty root nod

Determine the importance of array, Determine the importance of array Ar...

Determine the importance of array Arrays are significant since they allow many values to be stored in a single data structure whereas providing very fast access to each value.

Representation of sets?, A set s is conveniently shown in a computer store ...

A set s is conveniently shown in a computer store by its characteristic function C(s). This is an array of logical numbers whose ith element has the meaning "i is present in s". As

Types of triangular matrices, Triangular Matrices Tiangular Matrices is...

Triangular Matrices Tiangular Matrices is of 2 types: a)  Lower triangular b)  Upper triangular

Difference in grounded header and circular header Link List, Q. State the d...

Q. State the difference between a grounded header link list and a circular header link list?     Ans: A header linked list is a linked list which all the time c

Tree structure, We would like to implement a 2-4Tree containing distinct in...

We would like to implement a 2-4Tree containing distinct integer keys. This 2-4Tree is defined by the ArrayList Nodes of all the 2-4Nodes in the tree and the special 2-4Node Root w

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