Geodesic
Simple search games on~an infinite circular cylinder
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 762-772.

Voir la notice de l'article provenant de la source Math-Net.Ru

Differential search games with simple motions of objects on an infinite circular cylinder are approached geometrically, using sets whose structure depends on time. Sufficient conditions for detection with the corresponding strategies are given. New kinds of problems are proposed, their connections with the initial parameters are investigated. 
@article{MZM_1995_58_5_a9,
     author = {A. G. Chkhartishvili and E. V. Shikin},
     title = {Simple search games on~an infinite circular cylinder},
     journal = {Matemati\v{c}eskie zametki},
     pages = {762--772},
     publisher = {mathdoc},
     volume = {58},
     number = {5},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a9/}
}
TY  - JOUR
AU  - A. G. Chkhartishvili
AU  - E. V. Shikin
TI  - Simple search games on~an infinite circular cylinder
JO  - Matematičeskie zametki
PY  - 1995
SP  - 762
EP  - 772
VL  - 58
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a9/
LA  - ru
ID  - MZM_1995_58_5_a9
ER  - 
%0 Journal Article
%A A. G. Chkhartishvili
%A E. V. Shikin
%T Simple search games on~an infinite circular cylinder
%J Matematičeskie zametki
%D 1995
%P 762-772
%V 58
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a9/
%G ru
%F MZM_1995_58_5_a9
A. G. Chkhartishvili; E. V. Shikin. Simple search games on~an infinite circular cylinder. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 762-772. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a9/

[1] Koopman B. O., “The theory of search. I: Kinematic bases”, Operation Research, 4:3 (1956)

[2] Koopman B. O., “The theory of search. II: Target detection”, Operation Research, 4:5 (1956)

[3] Koopman B. O., “The theory of search. III: The optimum distribution of searching efforts”, Operation Research, 5:5 (1957) | MR

[4] Gal S., Search games, N.-Y., 1980

[5] Kim D. P., Metody poiska i presledovaniya podvizhnykh ob'ektov, Nauka, M., 1989

[6] Petrosyan L. A., Garnaev A. Yu., Igry poiska, SPb., 1992

[7] Gubaidullin S. M., Shikin E. V., “Sledyaschaya oblast na tsilindre i na tore”, Vestn. MGU. Ser. 15. Vychisl. matem. i kibern., 1992, no. 2, 46–50 | MR | Zbl

[8] Chkhartishvili A. G., “Ob odnom geometricheskom svoistve sledyaschei oblasti v zadachakh poiska”, Vestn. MGU. Ser. 1. Matem., mekh., 1992, no. 3, 7–9 | MR

[9] Chkhartishvili A. G., Shikin E. V., “Metod sledyaschikh oblastei v zadachakh poiska”, Matem. sb., 184:10 (1993), 107–134 | Zbl

[10] Chkhartishvili A. G., Shikin E. V., “Dinamicheskie zadachi poiska i obnaruzheniya na nekotorykh zamknutykh poverkhnostyakh”, Differents. uravneniya, 1993, no. 11, 1948–1957 | MR | Zbl

[11] Chkhartishvili A. G., Shikin E. V., “Sledyaschaya oblast v prostranstve Lobachevskogo”, Vestn. MGU. Ser. 1. Matem., mekh., 1994, no. 2, 36–40 | MR

[12] Aizeks R., Differentsialnye igry, Nauka, M., 1967