Equivariant perturbation in Gomory and Johnson's infinite group problem (V). Software for the continuous and discontinuous 1-row case

Chun Yu Hong, Matthias Köppe, Yuan Zhou

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We present software for investigations with cut-generating functions in the Gomory–Johnson model and extensions, implemented in the computer algebra system SageMath.

Original languageEnglish
Pages (from-to)475-498
Number of pages24
JournalOptimization Methods and Software
Volume33
Issue number3
DOIs
StatePublished - May 4 2018

Bibliographical note

Publisher Copyright:
© 2017 Informa UK Limited, trading as Taylor & Francis Group.

Funding

The first author\u2019s contribution was done during a Research Experience for Undergraduates at the University of California, Davis. He was partially supported by the Division of Mathematical Sciences, National Science Foundation DMS-0636297 (VIGRE). All authors were partially supported by the Division of Mathematical Sciences, National Science Foundation through grant no. DMS-1320051 awarded to M. K\u00F6ppe. The support was gratefully acknowledged.

FundersFunder number
Division of Mathematical Sciences
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, 1320051, 0636297

    Keywords

    • cutting planes
    • group relaxations
    • integer programming

    ASJC Scopus subject areas

    • Software
    • Control and Optimization
    • Applied Mathematics

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