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Optimization of the flow through networks with gains. (English) Zbl 0243.90048

MSC:
90C35 Programming involving graphs or networks
90B10 Deterministic network models in operations research
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[1] C. Berge,Théorie des graphes et ses applications (Dunod, Paris, 1958) p. 29.
[2] C. Berge and A. Ghonile-Houri,Programmes jeux et reseaux de transport (Dunod, Paris, 1962) p. 122. · Zbl 0111.17302
[3] P. Broise, P. Huard and J. Sentenac,Décomposition des programmes mathématiques, Monographies de recherche opérationnelle (Dunod, Paris, 1967).
[4] M. Gondran, Oral communication.
[5] W.S. Jewell, ”Optimal flow through networks with gains,” (Interim technical report no.8, Massachussetts Institute of Technology, Cambridge, Mass., 1958).Operations Research 10 (1962) 476–499. · Zbl 0109.38203 · doi:10.1287/opre.10.4.476
[6] E.L. Johnson, ”Networks and basic solutions,”Operations Research 14 (1966) 619–623. · doi:10.1287/opre.14.4.619
[7] E.L. Johnson, ”Programming in networks and graphs,” ORC 65-1. University of California, Berkeley.
[8] D. Lacaze, ”Flot optimal dans les réseaux avec multiplicateurs,”Revue Française de Recherche Opérationnelle 37 (1965) 271–293.
[9] J.F. Maurras, ”Méthode primale d’optimisation du flot dans un réseau avec multiplicateurs,” Note interne EDF (5.3.71).
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