Can I read Multiobjective Linear Programming : An Introduction on EtoBox?

Multiobjective Linear Programming : An Introduction by Dinh The Luc; École nationale supérieure des beaux-arts (France) is a book available to read on EtoBox.

What is Multiobjective Linear Programming : An Introduction about?

Linear Programming A linear mathematical programming problem is a problem of finding a maximum or minimum of a linear functional over a convex polyhedron. The functional to optimize is called an objective or cost function, and the linear equalities and linear inequalities that define the polyhedron are called constraints. Optimal Solutions We consider the following linear programming problem, denoted (LP):where c is an n-vector, A is an m × n-matrix and b is an m-vector. Under these constraints we say (LP) is given in standard form. It is given in canonical form when the constraints (3.1) and (3.2) are substituted by inequalities Ax b. As we have already discussed in Sect. 2.2, linear equalities can be converted to linear inequalities and vice versa, any linear programming problem may be set in form as (LP) above. We denote the feasible set of the problem (LP) by X , that is, X is the solution set to the system (3.1-3.2). A feasible solution x ∈ X is optimal if c, x c, x for all x ∈ X . The linear function x → c, x is called the cost function of the problem. A fundamental theorem of linear programming is given next. Theorem 3.1.1 Assume that X is nonempty. Then the four conditions

Author

Dinh The Luc; École nationale supérieure des beaux-arts (France)

Publisher

Springer International Publishing Imprint : Springer

Published

2015

Language

EN

ISBN

9783319210902

Subjects

Business, Programming, Mathematics