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Publications Influence

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… Expand

1,549 127

Proper efficiency and the theory of vector maximization

- A. M. Geoffrion
- Mathematics
- 1 June 1968

Abstract : The concept of efficiency in problems with multiple criterion functions--sometimes under an alias such as 'admissibility' or 'Pareto optimality'--has long played an important role in… Expand

1,223 101- PDF

Multicommodity Distribution System Design by Benders Decomposition

- A. M. Geoffrion, G. Graves
- Mathematics
- 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… Expand

1,199 58

An Introduction to Structured Modeling

- A. M. Geoffrion
- Computer Science
- 1 May 1987

TLDR

602 44

Lagrangian Relaxation for Integer Programming

- A. M. Geoffrion
- Computer Science
- 50 Years of Integer Programming
- 2010

TLDR

469 40- PDF

Lagrangean Relaxation and Its Uses in Integer Programming

- A. M. Geoffrion
- Mathematics
- 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… Expand

235 13

Integer Programming by Implicit Enumeration and Balas’ Method

- A. M. Geoffrion
- Mathematics
- 1 April 1967

Abstract : This memorandum presents a reformulation of the essentials of Balas' algorithm for the zero-one integer linear programming problem, and is based upon the idea of 'elementary tree search'… Expand

223 13- PDF

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...

290 12- PDF

Solving Bicriterion Mathematical Programs

- A. M. Geoffrion
- Mathematics, Computer Science
- Oper. Res.
- 1 February 1967

TLDR

248 11

An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department

- A. M. Geoffrion, J. Dyer, A. Feinberg
- Computer Science
- 1 December 1972

TLDR

812 10

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