On the history of the transportation and maximum flow problems

On the history of the transportation and maximum flow problems

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Article ID: iaor2003802
Country: Germany
Volume: 91
Issue: 3
Start Page Number: 437
End Page Number: 445
Publication Date: Jan 2002
Journal: Mathematical Programming
Authors:
Keywords: history
Abstract:

We review two papers that are of historical interest for combinatorial optimization: an article of A.N. Tolsto&ibreve; 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 × 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.

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