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Integer Programming

Integer Programming

Integer Programming

Facets, Subadditivity, and Duality for Group and Semi-Group Problems
Ellis L. Johnson
February 1987
Paperback
9780898711622

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    This monograph considers pure integer programming problems which concern packing, partitioning or covering. For this class of problems, an algorithmic framework using a duality approach is offered. Furthermore, the author proposes for the first time a general framework for both packing and covering problems characterizing the convex whole of integer solutions.

    Product details

    February 1987
    Paperback
    9780898711622
    76 pages
    250 × 172 × 7 mm
    0.178kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

    Table of Contents

    • Integer Programming
    • Cuts, Knapsacks, and a Cyclic Group Problem
    • Finite Abelian Groups
    • Gomory's Corner Polyhedra
    • Blocking Polyhedra and Master Group Problems
    • Araoz's Semigroup Problem
    • Blockers and Polars for Master Semigroup Problems
    • Subadditive and Minimal Valid Inequalities
    • Subadditive Characterizations
    • Duality.
      Author
    • Ellis L. Johnson