An electronic compendium of extreme functions for the Gomory-Johnson infinite group problem

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15 Scopus citations

Abstract

In this note we announce the availability of an electronic compendium of extreme functions for Gomory-Johnson's infinite group problem. These functions serve as the strongest cut-generating functions for integer linear optimization problems. We also close several gaps in the literature.

Original languageEnglish
Pages (from-to)438-444
Number of pages7
JournalOperations Research Letters
Volume43
Issue number4
DOIs
StatePublished - Jun 26 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.

Funding

The authors gratefully acknowledge partial support from the National Science Foundation through grant DMS-1320051 awarded to M.\u00A0K\u00F6ppe.

FundersFunder number
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of ChinaDMS-1320051

    Keywords

    • Cutting planes
    • Infinite group relaxation
    • Integer programming
    • Software

    ASJC Scopus subject areas

    • Software
    • Management Science and Operations Research
    • Industrial and Manufacturing Engineering
    • Applied Mathematics

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