A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Linear Programming
Abstract Mathematical programming is concerned with the extremization of a function f defined over an n-dimensional design space R n and bounded by a set S in the design space. The set S may be defined by equality or inequality constraints, and these constraints may assume linear or nonlinear forms. The function f together with the set S in the domain of f is called a mathematical program or a mathematical programming problem. This terminology is in common usage in the context of problems which arise in planning and scheduling which are generally studied under operations research, the branch of mathematics concerned with decision making processes. Mathematical programming problems may be classified into several different categories depending on the nature and form of the design variables, constraint functions, and the objective function. However, only two of these categories are of interest to us, namely linear and nonlinear programming problems (commonly designated as LP and NLP, respectively).
Linear Programming
Abstract Mathematical programming is concerned with the extremization of a function f defined over an n-dimensional design space R n and bounded by a set S in the design space. The set S may be defined by equality or inequality constraints, and these constraints may assume linear or nonlinear forms. The function f together with the set S in the domain of f is called a mathematical program or a mathematical programming problem. This terminology is in common usage in the context of problems which arise in planning and scheduling which are generally studied under operations research, the branch of mathematics concerned with decision making processes. Mathematical programming problems may be classified into several different categories depending on the nature and form of the design variables, constraint functions, and the objective function. However, only two of these categories are of interest to us, namely linear and nonlinear programming problems (commonly designated as LP and NLP, respectively).
Linear Programming
Haftka, Raphael T. (author) / Gürdal, Zafer (author)
Third revised and expanded edition
1992-01-01
44 pages
Article/Chapter (Book)
Electronic Resource
English
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