Introduction
Algorithm analysis plays a crucial role in broader computational complexity theory, which provides theoretical estimates for the resources needed by any algorithm that solves a given computational problem. Algorithm analysis provides an insight into reasonable directions of search for efficient algorithms. It can be used in practice to choose an efficient algorithm which leads to better performance.
Analyzing the efficiency of an algorithm is done by calculating the amount of computing resources such as memory space, and running time needed to execute the algorithm. The complexity of an algorithm can be determined based on the resources used by the particular algorithm. The amount of computing resources utilized depends on the dimension of input data also called as input's size.
Current Software for Recursive Algorithm Time Efficiency Analysis
Educational Software for Recursive Algorithm Time Efficiency Analysis (ESRATEA) was developed by Pevac and Carpenter [1]. It has been used by students in Algorithms course to learn and master the algorithms' time performance analysis [2]. Currently problems are implemented in Java, and grouped into chip-and conquer, chip-and-be-conquered, and divide-and-conquer type of algorithms. This software allows the user to select the problem type and the software randomly picks an example from the corresponding list. Then, the user can perform time efficiency analysis for that example by specifying problem size, basic operation, recurrences, and finally, derives the solution for recurrences in order to determine algorithm's running time. It also grades the level of users based on the answers provided, and displays the solutions upon request.
ESRATEA also provides a graphical e...
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Works Cited
[1] Pevac, I., Carpenter, T. (2010) ESRATEA Educational Software for Recursive Algorithm Time Efficiency Analysis, WORLDCOMP'10 – FECS, Proc. of the 2010 Int. Conf. on Frontiers in Education: Computer Science & Computer Engineering, (Ed. Arabnia, Clincy), Las Vegas, NV, SCREA Press, 367-373.
[2] Levitin, A. (2012). Intro to the Design & Analysis of Algorithms, (3rd edition). New Jersey, NJ: Addison-Wesley.
[3] Pevac, I. (2011). Using Templates to Introduce Time Efficiency Analysis in an Algorithms Course, WORLDCOMP'11 – FECS, Proc. of the 2011 Int. Conf. on Frontiers in Education: Computer Science & Computer Engineering, (Ed. Arabnia, Clincy), Las Vegas, NV, SCREA Press, 373-379.
[4] Pevac, I. (2012). First Experiences with Tutor for Recursive Algorithm Time Efficiency Analysis. The Journal of Computing Sciences in Colleges, 28(1), 56-65.
Information and Software Technology Years 7–10: Advice on Programming and Assessment. (2003). Retrieved April 10, 2014, from http://www.boardofstudies.nsw.edu.au/syllabus_sc/pdf_doc/info_soft_tech_710_support.pdf
Proceedings of the 30th Annual ACM Symposium on Theory of Computing (STOC-98), pages 151--160, New York, May 23--26
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