Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part I: Theoretical development

Bilevel Programming Problems

Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part II: Convergence analysis and numerical results

Journal of Global Optimization ◽

10.1007/s10898-013-0120-8 ◽

2014 ◽

Vol 60 (3) ◽

pp. 459-481 ◽

Cited By ~ 14

Author(s):

Polyxeni-M. Kleniati ◽

Claire S. Adjiman

Keyword(s):

Global Optimization ◽

Convergence Analysis ◽

Optimization Algorithm ◽

Bilevel Programming ◽

Numerical Results ◽

Bilevel Programming Problems

Global optimization algorithm for solving bilevel programming problems with quadratic lower levels

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2010.6.177 ◽

2010 ◽

Vol 6 (1) ◽

pp. 177-196 ◽

Cited By ~ 3

Author(s):

Paul B. Hermanns ◽

◽

Nguyen Van Thoai

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

Bilevel Programming ◽

Bilevel Programming Problems

A Deterministic Global Optimization Algorithm for Problems with Nonlinear Dynamics

Nonconvex Optimization and Its Applications - Frontiers in Global Optimization ◽

10.1007/978-1-4613-0251-3_1 ◽

2004 ◽

pp. 1-23 ◽

Cited By ~ 3

Author(s):

C. S. Adjiman ◽

I. Papamichail

Keyword(s):

Nonlinear Dynamics ◽

Global Optimization ◽

Optimization Algorithm ◽

A Deterministic Global Optimization Algorithm for a Class of Fractional Programming Problems

Advanced Science Letters ◽

10.1166/asl.2012.1822 ◽

2012 ◽

Vol 5 (2) ◽

pp. 953-957

Author(s):

Hongwei Jiao ◽

Kun Li ◽

Jiefang Liu

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

Fractional Programming ◽

Design of Electrical Rotating Machines by Associating Deterministic Global Optimization Algorithm With Combinatorial Analytical and Numerical Models

IEEE Transactions on Magnetics ◽

10.1109/tmag.2007.898907 ◽

2007 ◽

Vol 43 (8) ◽

pp. 3411-3419 ◽

Cited By ~ 8

Author(s):

Julien Fontchastagner ◽

FrÉdÉric Messine ◽

Yvan Lefevre

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

Numerical Models ◽

Rotating Machines ◽

A Deterministic Global Optimization Algorithm

Information Technology Journal ◽

10.3923/itj.2013.6986.6991 ◽

2013 ◽

Vol 12 (22) ◽

pp. 6986-6991

Author(s):

Hongwei Jiao ◽

Lin Wang ◽

Jianping Wang

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

A deterministic global optimization algorithm for generalized geometric programming

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.142 ◽

2005 ◽

Vol 168 (1) ◽

pp. 722-737 ◽

Cited By ~ 27

Author(s):

Yanjun Wang ◽

Zhian Liang

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

Geometric Programming ◽

Generalized Geometric Programming

A deterministic global optimization algorithm based on a linearizing method for nonconvex quadratically constrained programs

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2008.04.004 ◽

2008 ◽

Vol 48 (11-12) ◽

pp. 1737-1743 ◽

Cited By ~ 4

Author(s):

Shao-Jian Qu ◽

Ying Ji ◽

Ke-Cun Zhang

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

Quadratically Constrained

Assessment of a non-adaptive deterministic global optimization algorithm for problems with low-dimensional non-convex subspaces

Optimization Methods and Software ◽

10.1080/10556788.2013.780058 ◽

2013 ◽

Vol 29 (2) ◽

pp. 430-441 ◽

Cited By ~ 1

Author(s):

Ralph Baker Kearfott ◽

Jessie M. Castille ◽

Gaurav Tyagi

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽

Low Dimensional

A note on a deterministic global optimization algorithm

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.01.021 ◽

2008 ◽

Vol 202 (1) ◽

pp. 67-70 ◽

Cited By ~ 4

Author(s):

Hongwei Jiao ◽

Yongqiang Chen

Keyword(s):

Global Optimization ◽

Optimization Algorithm ◽