Parallel All-Pairs Shortest Path Algorithm: Network Decomposition Approach

2016 ◽  
Vol 2567 (1) ◽  
pp. 95-104 ◽  
Author(s):  
Khaled Abdelghany ◽  
Hossein Hashemi ◽  
Ala Alnawaiseh
2010 ◽  
Vol 143-144 ◽  
pp. 1240-1244 ◽  
Author(s):  
Lin Zhang ◽  
Zhao Sheng Yang ◽  
Hong Mei Jia ◽  
Bin Wang

The execution time of shortest path computing determines the efficiency and quality of dynamic traffic assignment. This paper focuses on the design of a parallel calculation system for the shortest path in traffic network aims to reduce the execution time of shortest path computing in dynamic traffic assignment. Here we mainly focus on the process of algorithm parallelization and network decomposition. As the core of the system, a two-queue parallel algorithm is designed for the shortest path in the traffic network which the recursive spectral bisection decomposition approach is employed to separate the network into several parts and the algorithm acts on every sub-network on each processor. The proposed system are experimented on real traffic network and a set of policies are employed that the number of processors is designed in each policy in the study case, and the performances of the parallel calculation system are discussed, the proposed algorithm is proved to be the efficient and effective.


2016 ◽  
pp. 105-112
Author(s):  
S.D. Pogorilyy ◽  
◽  
M.S. Slynko ◽  

Johnson’s all pairs shortest path algorithm application in an edge weighted, directed graph is considered. Its formalization in terms of Glushkov’s modified systems of algorithmic algebras was made. The expediency of using GPGPU technology to accelerate the algorithm is proved. A number of schemas of parallel algorithm optimized for using in GPGPU were obtained. Suggested approach to the implementation of the schemes obtained using computing architecture NVIDIA CUDA. An experimental study of improved performance by using GPU for computations was made.


2013 ◽  
Vol 3 (4) ◽  
Author(s):  
Svetlana Torgasin ◽  
Karl-Heinz Zimmermann

AbstractBipartite graphs are widely used for modeling of complex structures in biology, engineering, and computer science. The search for shortest paths in such structures is a highly demanded procedure that requires optimization. This paper presents a variant of the all-pairs shortest path algorithm for bipartite graphs. The method is based on the distance matrix product and improves the general algorithm by exploiting the graph topology. The space complexity is reduced by a factor of at least four and the time complexity decreased by almost an order of magnitude when compared with the basic APSP algorithm.


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