Geodesic
Modelling of the space of paths in problems of constructing optimal trajectories
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 73-82 Cet article a éte moissonné depuis la source Math-Net.Ru

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The basic problem of constructing optimal paths in non-simply connected domains is formulated, and the structure of its solution, based on a discrete-continual model of the space of paths, is considered. The special case of the basic problem, connected with the construction of extremals in a piecewise linear three-dimensional manifold, is studied. The proposed model is extended to problems of constructing, in non-simply-connected domain, extremals with moving end and connecting networks. The result of solving one of the problems is quoted. 
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     title = {Modelling of the space of paths in problems of constructing optimal trajectories},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {73--82},
     year = {1983},
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     number = {1},
     language = {ru},
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S. V. Smelyakov; Yu. G. Stoyan. Modelling of the space of paths in problems of constructing optimal trajectories. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 73-82. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a7/