• Title/Summary/Keyword: Heap sort

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Analysis and Comparison of Sorting Algorithms (Insertion, Merge, and Heap) Using Java

  • Khaznah, Alhajri;Wala, Alsinan;Sahar, Almuhaishi;Fatimah, Alhmood;Narjis, AlJumaia;Azza., A.A
    • International Journal of Computer Science & Network Security
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    • v.22 no.12
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    • pp.197-204
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    • 2022
  • Sorting is an important data structure in many applications in the real world. Several sorting algorithms are currently in use for searching and other operations. Sorting algorithms rearrange the elements of an array or list based on the elements' comparison operators. The comparison operator is used in the accurate data structure to establish the new order of elements. This report analyzes and compares the time complexity and running time theoretically and experimentally of insertion, merge, and heap sort algorithms. Java language is used by the NetBeans tool to implement the code of the algorithms. The results show that when dealing with sorted elements, insertion sort has a faster running time than merge and heap algorithms. When it comes to dealing with a large number of elements, it is better to use the merge sort. For the number of comparisons for each algorithm, the insertion sort has the highest number of comparisons.

Finding the Worst-case Instances of Some Sorting Algorithms Using Genetic Algorithms (유전 알고리즘을 이용한 정렬 알고리즘의 최악의 인스턴스 탐색)

  • Jeon, So-Yeong;Kim, Yong-Hyuk
    • Proceedings of the Korean Information Science Society Conference
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    • 2010.06b
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    • pp.1-5
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    • 2010
  • 정렬 알고리즘에서 사용한 원소 간 비교횟수를 기준으로, 비교횟수가 많게 되는 순열을 최악의 인스턴스(worst-case instance)라 명명하고 이를 찾기 위해 유전 알고리즘(genetic algorithm)을 사용하였다. 잘 알려진 퀵 정렬(quick sort), 머지 정렬(merge sort), 힙 정렬(heap sort), 삽입 정렬(insertion sort), 쉘 정렬(shell sort), 개선된 퀵 정렬(advanced quick sort)에 대해서 실험하였다. 머지 정렬과 삽입 정렬에 대해 탐색한 인스턴스는 최악의 인스턴스에 거의 근접하였다. 퀵 정렬은 크기가 증가함에 따라 최악의 인스턴스 탐색이 어려웠다. 나머지 정렬에 대해서 찾은 인스턴스는 최악의 인스턴스인지 이론적으로 보장할 수 없지만, 임의의 1,000개 순열을 정렬해서 얻은 비교횟수들의 평균치보다는 훨씬 높았다. 본 논문의 최악의 인스턴스를 탐색하는 시도는 알고리즘의 성능 검증을 위한 테스트 데이터를 생성한다는 점에서 의미가 크다.

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Pedagogical effectiveness of algorithm visualizations in teaching the data structures and algorithms in elementary schools (초등학교의 자료구조와 알고리즘 수업에서 알고리즘 시각화의 교육적 효과)

  • Chun, Seok-Ju
    • Journal of The Korean Association of Information Education
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    • v.16 no.2
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    • pp.255-263
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    • 2012
  • Early algorithm education is very important in order to nurture excellent S/W developers in an information society. However a algorithm learning is a great challenge to elementary school students since understanding what a computer algorithm written in a static text format meant to do is difficult. It is expected that a student can easily visualize a algorithm through animations. In this study, we evaluate the pedagogical effectiveness of algorithm visualizations in teaching the fundamental data structures and algorithms in elementary schools. Thus we defined a new measure called 'Algorithm Visualization Factor(AVF)' and developed both text-oriented and animation-oriented PPTs of algorithm education elements, that is, Stack, Queue, Bubble Sort, Heap Sort, BDF, and DFS. We have conducted experiments and evaluations on diverse students groups. Extensive experiment results show that the average score of the student groups using animation-orirented PPT is greater(22%) than the one of the student groups using text-orirented PPT.

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