A numerical method for solving shortest path problems

A numerical method for solving shortest path problems 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Calcolo Springer Journals

A numerical method for solving shortest path problems

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Publisher
Springer Milan
Copyright
Copyright © 2018 by Springer-Verlag Italia S.r.l., part of Springer Nature
Subject
Mathematics; Numerical Analysis; Theory of Computation
ISSN
0008-0624
eISSN
1126-5434
D.O.I.
10.1007/s10092-018-0256-5
Publisher site
See Article on Publisher Site

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.

Journal

CalcoloSpringer Journals

Published: Feb 23, 2018

References

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