Towards a Realistic Analysis of Sorting and Searching Algorithms

Abstract

On the concepts of permutation and replication. We begin by explaining how these two concepts are embodied and how they can affect the performance of algorithms in terms of data distribution. Next, we draw on the current literature to study the complexity of different sorting algorithms, adjusting the element sizes used, ranging from 8 to 4096. We analyse how the performance of each algorithm is affected based on the size of the data and the organization methods used.

We also seek to provide data-driven insights into the efficiency of these algorithms in different operating conditions, enabling us to draw a realistic picture of their performance compared to the ideal models adopted in previous studies. The paper aims to contribute to a deeper understanding of choosing appropriate algorithms according to the size of the data and complex structures, which allows for improved data processing operations in practical applications. In conclusion, we highlight the importance of realistic analysis in developing future research in the field of sorting and searching algorithms and encourage further exploration of the factors affecting performance in different environments.