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Journal of Global Optimization

, Volume 33, Issue 2, pp 257–272 | Cite as

Generalized Nonlinear Lagrangian Formulation for Bounded Integer Programming

  • Yifan XuEmail author
  • Chunli Liu
  • Duan Li
Article

Abstract

Several nonlinear Lagrangian formulations have been recently proposed for bounded integer programming problems. While possessing an asymptotic strong duality property, these formulations offer a success guarantee for the identification of an optimal primal solution via a dual search. Investigating common features of nonlinear Lagrangian formulations in constructing a nonlinear support for nonconvex piecewise constant perturbation function, this paper proposes a generalized nonlinear Lagrangian formulation of which many existing nonlinear Lagrangian formulations become special cases.

Keywords

duality gap integer programming Lagrangian relaxation nonlinear integer programming nonlinear Lagrangian formulation 

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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.School of ManagementFudan UniversityShanghaiChina
  2. 2.Department of Systems Engineering and Engineering ManagementThe Chinese University of Hong KongShatin, Hong KongChina

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