Title:
|
Maximization of distances of regular polygons on a circle (English) |
Author:
|
Guldan, Filip |
Language:
|
English |
Journal:
|
Aplikace matematiky |
ISSN:
|
0373-6725 |
Volume:
|
25 |
Issue:
|
3 |
Year:
|
1980 |
Pages:
|
182-195 |
Summary lang:
|
English |
Summary lang:
|
Slovak |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
Summary:
|
This paper presents the solution of a basic problem defined by J. Černý which solves a concrete everyday problem in railway and road transport (the problem of optimization of time-tables by some criteria). (English) |
Keyword:
|
maximizing distances of regular polygons on a circle |
Keyword:
|
transport problems |
Keyword:
|
$M$-system |
Keyword:
|
$M$-graph |
Keyword:
|
determination of optimal solution |
Keyword:
|
bus line scheduling |
MSC:
|
52A37 |
MSC:
|
65K05 |
MSC:
|
90B05 |
MSC:
|
90B35 |
MSC:
|
90C08 |
MSC:
|
90C35 |
idZBL:
|
Zbl 0444.90101 |
idMR:
|
MR0568524 |
DOI:
|
10.21136/AM.1980.103850 |
. |
Date available:
|
2008-05-20T18:14:10Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103850 |
. |
Reference:
|
[1] J. Černý: Problems for systems of regular polygons on a circumference and their application in transport.(Czech). Matematické obzory (1972), 51 - 59. |
Reference:
|
[2] J. Černý: Applied mathematics and transport.(Czech). Pokroky matematiky, fyziky a astronomie 19 (1974), 316-323. MR 0469252 |
Reference:
|
[3] F. Harrary: Graph Theory.Addison-Wesley, 1969. MR 0256911 |
. |