Review of nonlinear mixed-integer and disjunctive programming techniques

IE Grossmann - Optimization and engineering, 2002 - Springer
This paper has as a major objective to present a unified overview and derivation of mixed-
integer nonlinear programming (MINLP) techniques, Branch and Bound, Outer …

[图书][B] Mixed-integer nonlinear programming: A survey of algorithms and applications

IE Grossmann, Z Kravanja - 1997 - Springer
This paper presents an overview of mixed-integer nonlinear programming techniques by first
providing a unified treatment of the Branch and Bound, Outer-Approximation, Generalized …

Mixed-integer nonlinear programming techniques for process systems engineering

IE Grossmann, Z Kravanja - Computers & chemical engineering, 1995 - Elsevier
This paper presents an overview of mixed-integer nonlinear programming techniques by first
providing a unified treatment of the Branch and Bound, Outer-Approximation, Generalized …

New algorithms for nonlinear generalized disjunctive programming

S Lee, IE Grossmann - Computers & Chemical Engineering, 2000 - Elsevier
Generalized disjunctive programming (GDP) has been introduced recently as an alternative
model to MINLP for representing discrete/continuous optimization problems. The basic idea …

Review of mixed‐integer nonlinear and generalized disjunctive programming methods

F Trespalacios, IE Grossmann - Chemie Ingenieur Technik, 2014 - Wiley Online Library
This work presents a review of the main deterministic mixed‐integer nonlinear programming
(MINLP) solution methods for problems with convex and nonconvex functions. An overview …

Modeling of discrete/continuous optimization problems: characterization and formulation of disjunctions and their relaxations

A Vecchietti, S Lee, IE Grossmann - Computers & chemical engineering, 2003 - Elsevier
This paper addresses the relaxations in alternative models for disjunctions, big-M and
convex hull model, in order to develop guidelines and insights when formulating Mixed …

A cutting plane method for solving linear generalized disjunctive programming problems

NW Sawaya, IE Grossmann - Computers & chemical engineering, 2005 - Elsevier
Raman and Grossmann [Raman, R., & Grossmann, IE (1994). Modeling and computational
techniques for logic based integer programming. Computers and Chemical Engineering, 18 …

Continuous reformulations of discrete–continuous optimization problems

O Stein, J Oldenburg, W Marquardt - Computers & chemical engineering, 2004 - Elsevier
This paper treats the solution of nonlinear optimization problems involving discrete decision
variables, also known as generalized disjunctive programming (GDP) or mixed-integer …

LOGMIP: a disjunctive 0–1 non-linear optimizer for process system models

A Vecchietti, IE Grossmann - Computers & chemical engineering, 1999 - Elsevier
Discrete-continuous non-linear optimization models are frequently used to formulate
problems in process system engineering. Major modeling alternatives and solution …

Convergence properties of generalized Benders decomposition

NV Sahinidis, IE Grossmann - Computers & Chemical Engineering, 1991 - Elsevier
This paper addresses two major issues related to the convergence of generalized Benders
decomposition which is an algorithm for the solution of mixed integer linear and nonlinear …