This book presents a rigorous treatment of the mathematical instruments available for dealing with income distributions, in particular Lorenz curves and related methods. The methods examined allow us to analyze, compare and modify such distributions from an economic and social perspective....

List of Models -- 1. Consumer Behavior Models -- 2. Models of Advertising and Sales Promotion -- 3. Pricing Models -- 4. Product Models -- 5. Sales Forecasting Models -- 6. Facility Location Models -- 7. Sales Force Models -- 8. Marketing Mix Models -- 9. Miscellaneous Models.

1 Motivation -- 1–1 Introduction -- 1–2 Miscellaneous Examples -- 1–3 Conclusion: Our Present Aim -- 2 The Initial Axioms -- 2–1 Some Logical Geography -- 2–2 Commutative Bands -- 2–3 Isotone Functions -- 2–4 Belts -- 2–5 Belt Homomorphisms -- 2–6 Types of Belt -- 2–7 Dual...

In this book binary functions and their representation by implicants or implicates are described. In particular minimal representations by prime implicants or prime implicates are given. Such representations generalize the minimal representations of the usual Boolean functions. It is shown that...

As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations...

This book presents recent theoretical and practical aspects in the field of optimization and convex analysis. The topics covered in this volume include: - Equilibrium models in economics. - Control theory and semi-infinite programming. - Ill-posed variational problems. - Global optimization. -...

The volume contains the proceedings of a workshop on "Parallel Algorithms and Transputers for Optimization" which was held at the University of Siegenon November 9, 1991 plus some invited papers covering topics related to this workshop. In contrast to many other publications on parallel...

1. Convex Cones and linear Inequalities -- 1. Separation theorems -- 2. Cones and duals -- 3. Linear inequalities over cones -- 4. Theorems of the alternative -- 2. Mathematical Programming over Cones -- 5. Linear programming -- 6. Quadratic programming -- 7. The complementarity problem -- 8....

1. Introduction -- 2. Control Problem -- Notation and definitions, motivation of later results -- 3. Railroad Train Example -- Motivation of a “bang-bang principle,” the time optimal and minimum fuel problems -- 4. Controllability -- Restricted and unrestricted control, the controllability...

Editor’s preface -- Lecture 1. Introduction -- Lecture 2. Topological linear spaces, convex sets, weak topologies -- Lecture 3. Hahn-Banach Theorem -- Lecture 4. Supporting hyperplanes and extremal points -- Lecture 5. Cones, dual cones -- Lecture 6. Necessary extremum conditions...