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Numerical methods and programming, 2017, Volume 18, Issue 2, Pages 158–168 (Mi vmp868)  
A new algorithm for the optimization of transport networks subject to constraints

A. A. Ананьев, P. V. Lomovitskiy, D. V. Uzhegov, A. Khlyupin

Center for engineering and technology for hard-to-recover reserves of Moscow Institute of physics and technology
Full-text PDF (709 kB)
Abstract: A new heuristic algorithm of finding a minimum weighted Steiner tree is proposed. A transport network can be represented in the form of a directed weighted Steiner tree. Constraints are imposed on the maximal total length of communications from any terminal vertex to the root of the tree. A penalty function method is used to take the constraints into account. The effect of model parameters on the optimal network geometry is analyzed.
Keywords: transport networks, Steiner problem, graph algorithms, optimization, constrained problems.
Received: 30.03.2017
UDC: 519.968
Language: Russian
Citation: A. A. Ананьев, P. V. Lomovitskiy, D. V. Uzhegov, A. Khlyupin, “A new algorithm for the optimization of transport networks subject to constraints”, Num. Meth. Prog., 18:2 (2017), 158–168
Citation in format AMSBIB
\Bibitem{AnaLomUzh17}
\by A.~A.~Ананьев, P.~V.~Lomovitskiy, D.~V.~Uzhegov, A.~Khlyupin
\paper A new algorithm for the optimization of transport networks subject to constraints
\jour Num. Meth. Prog.
\yr 2017
\vol 18
\issue 2
\pages 158--168
\mathnet{http://mi.mathnet.ru/vmp868}
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  • https://www.mathnet.ru/eng/vmp/v18/i2/p158
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