Certificates of Optimality for Mixed Integer Linear Programming Using Generalized Subadditive Generator Functions

Joint Authors

Cheung, Kevin K. H.
Moazzez, Babak

Source

Advances in Operations Research

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-08-31

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Information Technology and Computer Science

Abstract EN

We introduce generalized subadditive generator functions for mixed integer linear programs.

Our results extend Klabjan’s work from pure integer programs with nonnegative entries to general MILPs.

These functions suffice to achieve strong subadditive duality.

Several properties of the functions are shown.

We then use this class of functions to generate certificates of optimality for MILPs.

We have performed a computational test study on knapsack problems to investigate the efficiency of the certificates.

American Psychological Association (APA)

Cheung, Kevin K. H.& Moazzez, Babak. 2016. Certificates of Optimality for Mixed Integer Linear Programming Using Generalized Subadditive Generator Functions. Advances in Operations Research،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1096532

Modern Language Association (MLA)

Cheung, Kevin K. H.& Moazzez, Babak. Certificates of Optimality for Mixed Integer Linear Programming Using Generalized Subadditive Generator Functions. Advances in Operations Research No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1096532

American Medical Association (AMA)

Cheung, Kevin K. H.& Moazzez, Babak. Certificates of Optimality for Mixed Integer Linear Programming Using Generalized Subadditive Generator Functions. Advances in Operations Research. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1096532

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1096532