Abstract
The paper deals with the shortest path problem with Constraints, and it is NP-complete problem. The problem is formulated as an optimization model. To solve this model Lagrangean relaxation algorithm is adopted. For the solution of the dual problem a subgradient method is used. The general algorithm steps for our problem are presented, and a numerical example on communication network is given to illustrate the effectiveness of the algorithm.
This work is supported by the fund of department of education of Hubei province. (No. D20102904), and doctoral fund of huanggang normal university (No. 09CD158).
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He, F., Dai, K. (2011). A Shortest Path Algorithm with Constraints in Networks. In: Zhang, J. (eds) Applied Informatics and Communication. ICAIC 2011. Communications in Computer and Information Science, vol 227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23226-8_77
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DOI: https://doi.org/10.1007/978-3-642-23226-8_77
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23225-1
Online ISBN: 978-3-642-23226-8
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