The Subject A little explanation is in order for our choice of the
title Linear Opti- 1 mization (and corresponding terminology) for
what has traditionally been called Linear Programming.Theword
programming in this context can be confusing and/or misleading to
students. Linear programming problems are referred to as
optimization problems but the general term linear p- gramming
remains. This can cause people unfamiliar with the subject to think
that it is about programming in the sense of writing computer code.
It isn't. This workbook is about the beautiful mathematics
underlying the ideas of optimizing linear functions subject to
linear constraints and the algorithms to solve such problems. In
particular, much of what we d- cuss is the mathematics of Simplex
Algorithm for solving such problems, developed by George Dantzig in
the late 1940s. The word program in linear programming is a
historical artifact. When Dantzig ?rstdevelopedthe Simplex
Algorithm to solvewhat arenowcalled linear programming problems,
his initial model was a class of resource - location problems to be
solved for the U.S. Air Force. The decisions about
theallocationswerecalled'Programs'bytheAirForce, andhencetheterm.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Undergraduate Texts in Mathematics |
Release date: |
March 2012 |
First published: |
2010 |
Authors: |
Glenn Hurlbert
|
Dimensions: |
235 x 178 x 15mm (L x W x T) |
Format: |
Paperback
|
Pages: |
272 |
Edition: |
2010 ed. |
ISBN-13: |
978-1-4614-2455-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Optimization >
General
|
LSN: |
1-4614-2455-0 |
Barcode: |
9781461424550 |
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