Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules

1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.

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Main Authors: Appalasamy, Sashirekha, Pasupuleti, Jagadeesh
Other Authors: sashirekha@uniten.edu.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
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Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10256
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spelling my.unimap-102562010-11-23T01:55:58Z Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules Appalasamy, Sashirekha Pasupuleti, Jagadeesh sashirekha@uniten.edu.my Lagrangian dual function Surrogate subgradient Step size Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. Lagrangian relaxation dual function is a technique commonly used to optimize non-convex problems. The difficulty in obtaining a solution method for the dual function is normally due to the function’s non-differentiable characteristic. The most common technique used for these cases is the subgradient-based method. A number of modified subgradients techniques were created in the past decade. In this paper an analysis is carried out on one of the modified technique known as the surrogate subgradient technique(SSG). The analysis is done to investigate the effect of five different step size rules onto the convergence of the dual function. Graphical analysis were carried out to validate and illustrate the convergence. 2010-11-23T01:55:58Z 2010-11-23T01:55:58Z 2010-06-02 Working Paper Vol.1(34), p.191-196 http://hdl.handle.net/123456789/10256 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Lagrangian dual function
Surrogate subgradient
Step size
Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle Lagrangian dual function
Surrogate subgradient
Step size
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Appalasamy, Sashirekha
Pasupuleti, Jagadeesh
Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules
description 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
author2 sashirekha@uniten.edu.my
author_facet sashirekha@uniten.edu.my
Appalasamy, Sashirekha
Pasupuleti, Jagadeesh
format Working Paper
author Appalasamy, Sashirekha
Pasupuleti, Jagadeesh
author_sort Appalasamy, Sashirekha
title Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules
title_short Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules
title_full Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules
title_fullStr Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules
title_full_unstemmed Lagrangian dual function solved with surrogate subgradient method: An analysis of step size rules
title_sort lagrangian dual function solved with surrogate subgradient method: an analysis of step size rules
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/10256
_version_ 1643789780482260992
score 13.222552