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ANOR
2005
89views more  ANOR 2005»
13 years 4 months ago
Logic-Based Modeling and Solution of Nonlinear Discrete/Continuous Optimization Problems
This paper presents a review of advances in the mathematical programming approach to discrete/continuous optimization problems. We first present a brief review of MILP and MINLP f...
Sangbum Lee, Ignacio E. Grossmann
CCE
2004
13 years 4 months ago
Continuous reformulations of discrete-continuous optimization problems
This paper treats the solution of nonlinear optimization problems involving discrete decision variables, also known as generalized disjunctive programming (GDP) or mixed-integer n...
Oliver Stein, Jan Oldenburg, Wolfgang Marquardt
COCOS
2003
Springer
148views Optimization» more  COCOS 2003»
13 years 10 months ago
Convex Programming Methods for Global Optimization
We investigate some approaches to solving nonconvex global optimization problems by convex nonlinear programming methods. We assume that the problem becomes convex when selected va...
John N. Hooker
EOR
2008
159views more  EOR 2008»
13 years 5 months ago
A survey on the continuous nonlinear resource allocation problem
Our problem of interest consists of minimizing a separable, convex and differentiable function over a convex set, defined by bounds on the variables and an explicit constraint des...
Michael Patriksson
ICTAI
2002
IEEE
13 years 10 months ago
Calculus of Variations in Discrete Space for Constrained Nonlinear Dynamic Optimization
In this paper, we propose new dominance relations that can speed up significantly the solution process of nonlinear constrained dynamic optimization problems in discrete time and...
Yixin Chen, Benjamin W. Wah