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A greedy algorithm for solving a class of convex programming problems and its connection with polymatroid theory
Authors:G. Morton  R. von Randow  K. Ringwald
Affiliation:(1) Fachbereich Wirtschaftswissenschaften und Statistik, Universität Konstanz, Universitätsstrasse 10, 7750 Konstanz, FR Germany;(2) Institut für Operations Research, Universität Bonn, Nassestrasse 2, 5300 Bonn 1, FR Germany;(3) Fachbereich 11: Mathematik, Universität und Gesamthochschule Duisburg, Lotharstrasse 65, 4100 Duisburg, FR Germany
Abstract:
We present a greedy algorithm for solving a special class of convex programming problems and establish a connection with polymatroid theory which yields a theoretical explanation and verification of the algorithm via some recent results of S. Fujishige.
Keywords:Convex Programming  Greedy Algorithm  Polymatroid
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