Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 73-82
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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/
@article{ZVMMF_1983_23_1_a7,
author = {S. V. Smelyakov and Yu. G. Stoyan},
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},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a7/}
}
TY - JOUR
AU - S. V. Smelyakov
AU - Yu. G. Stoyan
TI - Modelling of the space of paths in problems of constructing optimal trajectories
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 73
EP - 82
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a7/
LA - ru
ID - ZVMMF_1983_23_1_a7
ER -
%0 Journal Article
%A S. V. Smelyakov
%A Yu. G. Stoyan
%T Modelling of the space of paths in problems of constructing optimal trajectories
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 73-82
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a7/
%G ru
%F ZVMMF_1983_23_1_a7
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.
