# A Simple Algorithm for Finding Maximal Network Flows and an Application to the Hitchcock Problem

```@article{Ford1957ASA,
title={A Simple Algorithm for Finding Maximal Network Flows and an Application to the Hitchcock Problem},
author={Lester Randolph Ford and Delbert Ray Fulkerson},
year={1957},
volume={9},
pages={210 - 218}
}```
• Published 1957
• Mathematics
The network-flow problem, originally posed by T. Harris of the Rand Corporation, has been discussed from various viewpoints in (1; 2; 7; 16). The problem arises naturally in the study of transportation networks; it may be stated in the following way. One is given a network of directed arcs and nodes with two distinguished nodes, called source and sink, respectively. All other nodes are called intermediate. Each directed arc in the network has associated with it a nonnegative integer, its flow…
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