Matrices.- Solvability of systems of interval linear equations and inequalities.- Interval linear programming.- Linear programming with set coefficients.- Fuzzy linear optimization.- Interval linear systems and optimization problems over max-algebras.
Preface.- 1. Matrices (M. Fiedler).- 2. Solvability of systems of interval linear equations and inequalities (J. Rohn).- 3. Interval linear programming (J. Rohn).- 4. Linear programming with set coeffcients (J. Nedoma and J. Ramik).- 5. Fuzzy linear optimization (J. Ramik).- 6. Interval linear systems and optimization problems over max-algebras.- (K. Zimmermann).- References.- List of Symbols.- Index.
PLinear programming has attracted the interest of mathematicians since World War II when the first computers were constructed. Early attempts to apply linear programming methods practical problems failed, in part because of the inexactness of the data used to create the models. This book presents a comprehensive treatment of linear optimization with inexact data, summarizing existing results and presenting new ones within a unifying framework./P
Presents a unified approach to solving linear programming problems with inexact data