Proper efficiency and the theory of vector maximization
- A. M. Geoffrion
- Economics
- 1 June 1968
Generalized Benders decomposition
- A. M. Geoffrion
- Mathematics
- 1 October 1972
J. F. Benders devised a clever approach for exploiting the structure of mathematical programming problems withcomplicating variables (variables which, when temporarily fixed, render the remaining…
Multicommodity Distribution System Design by Benders Decomposition
- A. M. Geoffrion, G. Graves
- Business
- 1974
A commonly occurring problem in distribution system design is the optimal location of intermediate distribution facilities between plants and customers. A multi-commodity capacitated single-period…
An Introduction to Structured Modeling
- A. M. Geoffrion
- Computer Science
- 1 May 1987
If successful, Structured Modeling will enable model-based work to be done with greater productivity and acceptance by nonspecialists, will exploit important developments in small computers, and will cross-fertilize management science/operations research, artificial intelligence, database management, programming language design, and software engineering.
Lagrangian Relaxation for Integer Programming
- A. M. Geoffrion
- Geology50 Years of Integer Programming
- 2010
It is a pleasure to write this commentary because it offers an opportunity to express my gratitude to several people who helped me in ways that turned out to be essential to the birth of [8]. They…
Lagrangean Relaxation and Its Uses in Integer Programming
- A. M. Geoffrion
- Business
- 1 December 1972
Abstract : Taking a subset of the constraints of a general mixed integer linear program up into the objective function in a Lagrangean fashion (with fixed multipliers) yields what the author calls a…
Duality in Nonlinear Programming: A Simplified Applications-Oriented Development
- A. M. Geoffrion
- Mathematics
- 1971
The number of computational or theoretical applications of nonlinear duality theory is small compared to the number of theoretical papers on this subject over the last decade. This study attempts t...
Integer Programming by Implicit Enumeration and Balas’ Method
- A. M. Geoffrion
- Computer Science
- 1 April 1967
The present reformulation of the essentials of Balas' algorithm for the zero-one integer linear programming problem is based upon the idea of 'elementary tree search' that has been used by Glover as the basis for his multiphase-dual algorithm.
Solving Bicriterion Mathematical Programs
- A. M. Geoffrion
- Computer ScienceOperational Research
- 1 February 1967
Outlines of several algorithms for solving equation 1 under various special assumptions and a numerical example are presented to illustrate the application of the theory developed herein.
An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department
- A. M. Geoffrion, J. Dyer, A. Feinberg
- Business
- 1 December 1972
An interactive mathematical programming approach to multi-criterion optimization is developed, and then illustrated by an application to the aggregated operating problem of an academic department.
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