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Published in:
Optimization: The Big Idea Read chapter Read first chapter

2018 | OriginalPaper | Chapter

5. Constraints: Placing Limits on the Solution

Author : Mark French

Published in: Fundamentals of Optimization

Publisher: Springer International Publishing

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Abstract

Most practical optimization problems include limits, called constraints, on the values that the design variables can take. For example, constraints may describe allowable limits on the stresses in a structure or the maximum speed of a ship moving cargo across an ocean. This chapter presents the basic concepts and a method for constrained optimization that is a simple extension of familiar unconstrained methods.

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previous chapter Problems with More than One Variable
next chapter General Conditions for Solving Optimization Problems: Karush-Kuhn-Tucker Conditions
Literature
1.
Luenberger DG, Ye Y (2008) Linear and nonlinear programming. Springer, Cham
2.
Betts JT (1975) An improved penalty function method for solving constrained parameter optimization problems. J Optim Theory Appl 16(1/2):1–24
3.
Nahin PJ (2002) Oliver Heaviside: the life, work and times of and electrical genius of the Victorian age. Johns Hopkins University Press, Baltimore
4.
Richards FJ (1959) A flexible growth function for empirical use. J Exp Biol 10(29):290–300
5.
Osserman R (2010) Mathematics of the gateway arch. Not Am Math Soc 57(2):220–229
Metadata
Title
Constraints: Placing Limits on the Solution
Author
Mark French
Copyright Year
2018
Book
Fundamentals of Optimization

Print ISBN: 978-3-319-76191-6

Electronic ISBN: 978-3-319-76192-3

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-76192-3_5

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