A seminal contribution of Ailsa Land and Alison Doig Harcourt to the field of mathematical programming

In 1960, Ailsa Land and Alison Doig published the first linear programming‐based branch‐and‐bound algorithm for the solution of mixed integer linear programs. This algorithm has had a major impact on the field of mathematical programming and remains to this day the only available solution methodolog...

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Bibliographic Details
Published in:Australian & New Zealand journal of statistics
Main Author: Laporte, Gilbert
Format: Journal Article
Language:English
Published: 05.03.2025
ISSN:1369-1473, 1467-842X
Online Access:Get full text
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Summary:In 1960, Ailsa Land and Alison Doig published the first linear programming‐based branch‐and‐bound algorithm for the solution of mixed integer linear programs. This algorithm has had a major impact on the field of mathematical programming and remains to this day the only available solution methodology for generic mixed integer linear programs. This article recounts the genesis of this algorithm and describes some of the developments that have taken place since its publication.
ISSN:1369-1473
1467-842X
DOI:10.1111/anzs.12439