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Maximal Biflow in an Undirected Network

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1 Author(s)
Arinal, J.-C. ; Compagnie IBM France, 47. rue de Villiers 92-Neuilly-sur-Seine, France

In this network flow problem we deal with two distinct commodities, each commodity being identified by a pair of source and sink nodes. The problem consists of maximizing the total flow (biflow) of the two commodities. It is solved by an inductive algorithm which starts with a maximal multiterminal flow from the set of sources to the set of sinks in the network, yields the value of the maximal biflow and terminates with the construction of the maximal biflow itself. Computational experience shows that this algorithm can also be used in the three-commodity flow problem to obtain a good lower bound for the value of a maximal three-commodity flow.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:13 ,  Issue: 4 )