On the history of the transportation and maximum flow problems
Documenta mathematica, Optimization Stories (2012), pp. 169-180.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We review two papers that are of historical interest for combinatorial optimization: an article of A. N. Tolstoĭ from 1930, in which the transportation problem is studied, and a negative cycle criterion is developed and applied to solve a (for that time) large-scale ($10\times 68$) transportation problem to optimality; and an, until recently secret, RAND report of T. E. Harris and F. S. Ross from 1955, that Ford and Fulkerson mention as motivation to study the maximum flow problem. The papers have in common that they both apply their methods to the Soviet railway network.
Classification : 90-03, 01A60, 90C27, 90C35
Keywords: maximum flow, minimum cut, transportation, algorithm, cycle cancelling, history
@article{DOCMA_2012__S3__a24,
     author = {Schrijver, Alexander},
     title = {On the history of the transportation and maximum flow problems},
     journal = {Documenta mathematica},
     pages = {169--180},
     publisher = {mathdoc},
     volume = {Optimization Stories},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2012__S3__a24/}
}
TY  - JOUR
AU  - Schrijver, Alexander
TI  - On the history of the transportation and maximum flow problems
JO  - Documenta mathematica
PY  - 2012
SP  - 169
EP  - 180
VL  - Optimization Stories
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2012__S3__a24/
LA  - en
ID  - DOCMA_2012__S3__a24
ER  - 
%0 Journal Article
%A Schrijver, Alexander
%T On the history of the transportation and maximum flow problems
%J Documenta mathematica
%D 2012
%P 169-180
%V Optimization Stories
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2012__S3__a24/
%G en
%F DOCMA_2012__S3__a24
Schrijver, Alexander. On the history of the transportation and maximum flow problems. Documenta mathematica, Optimization Stories (2012), pp. 169-180. http://geodesic.mathdoc.fr/item/DOCMA_2012__S3__a24/