Application of the graph theory to the transport problem

Josef Bílý; Miroslav Fiedler; František Nožička

Czechoslovak Mathematical Journal (1958)

  • Volume: 08, Issue: 1, page 94-121
  • ISSN: 0011-4642

How to cite

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Bílý, Josef, Fiedler, Miroslav, and Nožička, František. "Die Graphentheorie in Anwendung auf das Transportproblem." Czechoslovak Mathematical Journal 08.1 (1958): 94-121. <http://eudml.org/doc/11911>.

@article{Bílý1958,
author = {Bílý, Josef, Fiedler, Miroslav, Nožička, František},
journal = {Czechoslovak Mathematical Journal},
keywords = {Biomathematics; Insurance Mathematics; Operations Research},
language = {ger},
number = {1},
pages = {94-121},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Die Graphentheorie in Anwendung auf das Transportproblem},
url = {http://eudml.org/doc/11911},
volume = {08},
year = {1958},
}

TY - JOUR
AU - Bílý, Josef
AU - Fiedler, Miroslav
AU - Nožička, František
TI - Die Graphentheorie in Anwendung auf das Transportproblem
JO - Czechoslovak Mathematical Journal
PY - 1958
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 08
IS - 1
SP - 94
EP - 121
LA - ger
KW - Biomathematics; Insurance Mathematics; Operations Research
UR - http://eudml.org/doc/11911
ER -

References

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  1. Abrham J., A Note on a Linear Programming Problem, Чехосл. мат. журнал 7 (82), 1957, 124-130. (1957) MR0089777
  2. Bellman R., 10.1137/0104010, Journal of the Society for Industrial and Applied Mathematics, B. 4 (1956), 168 - 205. (1956) Zbl0074.14901MR0081219DOI10.1137/0104010
  3. Черников С. Н., Системы линейных неравенств, Успехи мат. наук VIII, 2 (54) (1953), 7-73. (1953) Zbl1151.94459
  4. Dantzig G. В., Application of the Simplex Method to a Transportation Problem, Activity Analysis of Production and Allocation, 359-373. Zbl0045.09901MR0056262
  5. Eiseman K., 10.1090/qam/74102, Quarterly of Applied Mathematics, B. XIII (1955), 209-232. (1955) MR0074102DOI10.1090/qam/74102
  6. Flood M. M., 10.2140/pjm.1953.3.369, Pacific Journal of Mathematics, B. 3 (1953), 369-386. (1953) Zbl0131.36603MR0059073DOI10.2140/pjm.1953.3.369
  7. Hitchcock F. L., 10.1002/sapm1941201224, Journal of Mathematics and Physics, B. 20 (1941), 224 - 230. (1941) Zbl0026.33904MR0004469DOI10.1002/sapm1941201224
  8. Kantorovič L., On the Translocation of Masses, Доклады Академии наук СССР 37 (1942), 224-230; zitiert nach [2]. (1942) MR0009619
  9. Koopmans Т. С, Optimum Utilization of the Transportation System, The Econometric Society Meeting, September 6-18, 1947, Washington, D. C, 136-146. (1947) 
  10. Koopmans Т. С, Reiter S., A Model of Transportation, Activity Analysis of Production and Allocation, New York, 1951, 222-259. (1951) Zbl0045.09704MR0052757
  11. König D., Theorie der endlichen und unendlichen Graphen, Leipzig, 1936. (1936) 
  12. Nožička F., O jednom minimálním problému v theorii lineárního plánování, (Über ein Minimalproblem in der Theorie der Linearplanung). Lithographiert - Mathematisches Institut der Tschechoslowakischen Akademie der Wissenschaften, Prag, 1956. (1956) 
  13. Prager W., On the Role of Congestion in Transportation Problems, Zeitschrift für angewandte Mathematik und Mechanik, B. 35 (1955), 264 - 268. (1955) Zbl0064.39602MR0070140
  14. Sadowski W., Zastosowanie teorii programowania liniowego do rejonizacji zaopatrzenia, Przeglad statystyczny, B. 4 (1956), 393 - 404. (1956) 

Citations in EuDML Documents

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  1. Josef Machek, A note on the solution of the transportation problem by the simplex method
  2. Osvald Demuth, Poznámka k dopravnímu problému
  3. Miroslav Fiedler, František Nožička, Об одном критериив теории транспортной проблемы
  4. Anton Kotzig, Súvislé podgrafy s minimálnou hodnotou v konečnom súvislom grafe
  5. Frank J. Hall, Thomas L. Markham, Miroslav Rozložník, Jeffrey L. Stuart, Miroslav Fiedler (7. 4. 1926 – 20. 11. 2015)

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