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The unexpected power of linear programming: an updated collection of surprising applications.

Authors :
Golden, Bruce
Schrage, Linus
Shier, Douglas
Apergi, Lida Anna
Source :
Annals of Operations Research. Dec2024, Vol. 343 Issue 2, p573-605. 33p.
Publication Year :
2024

Abstract

Linear programming has had a tremendous impact in the modeling and solution of a great diversity of applied problems, especially in the efficient allocation of resources. As a result, this methodology forms the backbone of introductory courses in operations research. What students, and others, may not appreciate is that linear programming transcends its linear nomenclature and can be applied to an even wider range of important practical problems. The objective of this article is to present a selection, and just a selection, from this range of problems that at first blush do not seem amenable to linear programming formulation. The exposition focuses on the most basic models in these selected applications, with pointers to more elaborate formulations and extensions. Thus, our intent is to expand the modeling awareness of those first encountering linear programming. In addition, we hope this article will be of interest to those who teach linear programming and to seasoned academics and practitioners, alike. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02545330
Volume :
343
Issue :
2
Database :
Academic Search Index
Journal :
Annals of Operations Research
Publication Type :
Academic Journal
Accession number :
181709723
Full Text :
https://doi.org/10.1007/s10479-024-06245-5