The Repository @ St. Cloud State

Open Access Knowledge and Scholarship

Date of Award

1-2021

Culminating Project Type

Starred Paper

Degree Name

Computer Science: M.S.

Department

Computer Science and Information Technology

College

School of Science and Engineering

First Advisor

Mengqing He

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Keywords and Subject Headings

Dijkstra’s algorithm; graph; parallel computing; MPI; OpenMP; performance

Abstract

Dijkstra’s algorithm is an algorithm for finding the shortest path between nodes in a graph. The algorithm published in 1959 by Dutch computer scientist Edsger W. Dijkstra, can be applied on a weighted graph. Dijkstra’s original algorithm runtime is a quadratic function of the number of vertices.

In this paper, I will investigate the parallel formulation of Dijkstra’s algorithm and its speedup against the sequential one. The implementation of the parallel formulation will be performed by Message Passing Interface (MPI) and Open Multi-Processing (OpenMP). The results gained indicated that the performance of MPI and OpenMP to be significantly better than sequential for a higher number of input data scale. And the smaller number of processors/threads give the fastest result for MPI and OpenMP implementation. However, the results show that the average speedup achieved by parallelization is not satisfied. The parallel implementation of Dijkstra’s algorithm may not be the best option.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.