50 Years of Integer Programming 1958-2008 From the Early Years to the State-of-the-Art

50 Years of Integer Programming 1958-2008 From the Early Years to the State-of-the-Art / edited by Michael Jünger, Thomas M. Liebling, Denis Naddef, George L. Nemhauser, William R. Pulleyblank, Gerhard Reinelt, Giovanni Rinaldi, Laurence A. Wolsey.

In 1958, Ralph E. Gomory transformed the field of integer programming when he published a short paper that described his cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In January of 2008, to commemo...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Jünger, Michael (Editor), Liebling, Thomas M. (Editor), Naddef, Denis (Editor), Nemhauser, George L. (Editor), Pulleyblank, William R. (Editor), Reinelt, Gerhard (Editor), Rinaldi, Giovanni (Editor), Wolsey, Laurence A. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Springer eBook Collection.
Subjects:
Combinatorics.
Mathematical optimization.
Computer science—Mathematics.
Operations research.
Decision making.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I The Early Years
  • Solution of a Large-Scale Traveling-Salesman Problem
  • The Hungarian Method for the Assignment Problem
  • Integral Boundary Points of Convex Polyhedra
  • Outline of an Algorithm for Integer Solutions to Linear Programs An Algorithm for the Mixed Integer Problem
  • An Automatic Method for Solving Discrete Programming Problems
  • Integer Programming: Methods, Uses, Computation
  • Matroid Partition
  • Reducibility Among Combinatorial Problems
  • Lagrangian Relaxation for Integer Programming
  • Disjunctive Programming
  • II From the Beginnings to the State-of-the-Art
  • Polyhedral Approaches to Mixed Integer Linear Programming
  • Fifty-Plus Years of Combinatorial Integer Programming
  • Reformulation and Decomposition of Integer Programs
  • III Current Topics
  • Integer Programming and Algorithmic Geometry of Numbers
  • Nonlinear Integer Programming
  • Mixed Integer Programming Computation
  • Symmetry in Integer Linear Programming
  • Semidefinite Relaxations for Integer Programming
  • The Group-Theoretic Approach in Mixed Integer Programming.

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