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Explain how the merge/sort algorithm works.

June 29, 2021
Christopher R. Teeple

Instructions
Write 1 thread of at least 400 words and 2 replies of at least 200 words each.  For the thread, you must support your assertions with at least 4  citations in current APA format. Each reply must incorporate at least 2  citations. Acceptable sources include peer-reviewed journal articles,  books, the course textbook, and the Bible. Note that you may use the  article that is included with your assigned reading as 1 of your  sources.
Thread Topic (400 words)
Thread: Select 1 topic from among the 6 listed below, and in at least 400 words, write a post that explains your chosen topic.
Additional resources are listed in the Reading & Study folder of this Module/Week.
1.  Query Optimizer Overview
Query Optimization Steps
*Be sure to address the question “What are the algorithm categories?”
2. Algorithms Introduction
External Sort/Merge
*Be sure to explain how the merge/sort algorithm works.
3.   Select Algorithms – Simple
*Be sure to discuss Algorithms S1-S7.
4. Select Algorithms – Complex
*Be sure to discuss Algorithms S8-S11.
5.  Join Operation Algorithms
*Be sure to explain Algorithms J1-J5
6.  Optimization Techniques
*Be sure to discuss Cost vs. Heuristic based optimization
Replies (200 words each)
Thread Reply 1
There are many different  aspects to database organization, function, and optimization that make  each database unique. Algorithm complexity and style can defer depending  on a few factors. Complexity, quantity, and requirements all can play a  pivotal role and what algorithm, or system could be used. Understanding  algorithms at an introductory level is an essential aspect of  understanding and executing database functions. “Techniques for  performing an external merge sort are often used to sort data managed by  a distributed processing device that processes large-scale data”  (External, 2015).  This method is also most when the data is constantly  increasing, but the system only has a certain capacity of memory to  process that large amount of data. Furthermore, a merge sort algorithm  is one of the most common. The merge sort function is just a general  sorting algorithm that arranges certain elements of the database in a  predetermined manner. Furthermore, merge sort breaks down aspects of the  information into subcategories and characteristics. According to an  article published by Runestone Academy, “Merge sort is a recursive  algorithm that continually splits a list in half…. If the list has more  than one item, we split the list and recursively invoke a merge sort on  both halves” (Merge). The merge sort method is also simply known as the  “divide and conquer” method. The algorithm “divides by finding the  midpoint and conquers by recursively sorting subarrays” (Khan). Also,  the worst case of the merge sort is O(n*log(n)), whereas the best case  is O(n) (Sorting). The merge sort algorithm function is to split the  data into smaller groups by halving the groups each time. Then the  groups will continue this process until each group only has one element  or no elements, and the result is uniquely sorted groups (Sorting).  Lastly, the groups are merged back together in an order that places  their elements in proper arrangements. The merge sort algorithm works  efficiently and effectively for most users needs.
Thread Reply 2
According to oracle.com query  optimization is the overall process of choosing the most efficient means  of executing a SQL statement. In the article it also gave us an example  on when one would be using this optimizer. They gave us an instance  when looking for information regarding employees in a database. If there  was a query that would ask for employees that are managers, and the  statistics say that 80 percent of the employees are managers, then a  full table scan would be most effective in that scenario. However, when  the statistics are saying that very few employees are managers, then  reading an index with a table access by the row ID would be much more  efficient than a full scan of the entire table. The query optimizer does  these things to make it more efficient. With this, there are multiple  algorithm categories for a query optimizer. According to emory.edu there  are four steps in query optimization. The first step is to convert the  SQL query into a query parse tree. This is essentially an outline of  what the user’s query would be, statements like SELECT, FROM, and WHERE.  The second step is to make that parse tree into an initial logical plan  to see what query the user would like to initiate. The third step is to  transform that initial query plan into an optimal query plan which  makes what the user has searched to be more specific towards what the  user is trying to find. Finally, the last step is to select the  algorithm for each operator in the query plan that will output what the  user has asked for. There are two main algorithm categories according to  emory.edu. The two categories are the logical query plan and the  physical query plan. The logical query plan is optimal for relational  algebra operations, while the physical query plan is optimal for  relational algebra algorithms. The difference between these two are that  logical operators are used to describe the relational operation to  process a statement while physical operators implement the operation  given by the logical operators. And by definition as stated earlier an  algorithm is a set of instructions and an operation is more of a  particular method. This is just a very basic explanation of what a query  optimizer is and what are it’s functions.

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