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Calcolo
Published in: Calcolo 1/2018

01-03-2018

A numerical method for solving shortest path problems

Authors: M. H. Noori Skandari, M. Ghaznavi

Published in: Calcolo | Issue 1/2018

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Abstract

Chebyshev pseudo-spectral method is one of the most efficient methods for solving continuous-time optimization problems. In this paper, we utilize this method to solve the general form of shortest path problem. Here, the main problem is converted into a nonlinear programming problem and by solving of which, we obtain an approximate shortest path. The feasibility of the nonlinear programming problem and the convergence of the method are given. Finally, some numerical examples are considered to show the efficiency of the presented method over the other methods.
previous article An extended nonsymmetric block Lanczos method for model reduction in large scale dynamical systems

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Metadata
Title
A numerical method for solving shortest path problems
Authors
M. H. Noori Skandari
M. Ghaznavi
Publication date
01-03-2018
Publisher
Springer Milan
Published in
Calcolo / Issue 1/2018
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-018-0256-5

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