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Math. Comput. Appl. 2016, 21(3), 35; doi:10.3390/mca21030035

On the O(1/n) Convergence Rate of the Auxiliary Problem Principle for Separable Convex Programming and Its Application to the Power Systems Multi-Area Economic Dispatch Problem

1
School of Electrical and Information Engineering , Anhui University of Technology, Maanshan 243002, China
2
State Grid Hefei Power Supply Company, Hefei 230000, China
*
Author to whom correspondence should be addressed.
Academic Editor: Mehmet Ali Ilgın
Received: 16 April 2016 / Revised: 23 June 2016 / Accepted: 25 July 2016 / Published: 29 July 2016
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Abstract

The auxiliary problem principle has been widely applied in power systems to solve the multi-area economic dispatch problem. Although the effectiveness and correctness of the auxiliary problem principle method have been demonstrated in relevant literatures, the aspect connected with accurate estimate of its convergence rate has not yet been established. In this paper, we prove the O ( 1 / n ) convergence rate of the auxiliary problem principle method. View Full-Text
Keywords: auxiliary problem principle; variational inequality; convergence rate auxiliary problem principle; variational inequality; convergence rate
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ren, Y.; Chen, Z. On the O(1/n) Convergence Rate of the Auxiliary Problem Principle for Separable Convex Programming and Its Application to the Power Systems Multi-Area Economic Dispatch Problem. Math. Comput. Appl. 2016, 21, 35.

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