Modelling Techniques -- An Initiative for International Consensus on Enterprise Inter- and Intra-Organisational Integration -- Towards Knowledge Logistics in Agile SME Networks -- A Modelling Framework for Human Resource-Based Business Processes -- Managing Service-Sensitive Demand Through Simulation -- Robust Modeling of Consumer Behaviour -- Sizing, Cycle Time and Plant Control Using Dioid Al…
Basics -- Introduction -- Linear Programming Prerequisites -- Nonlinear Programming Prerequisites -- Single-stage SLP Models -- Introduction -- Models involving Probability Functions -- Quantile Functions, Value at Risk -- Models Based on Expectation -- Models Built with Deviation Measures -- Modeling Risk and Opportunity -- Risk Measures -- Multi-stage SLP Models -- The General SLP with Recour…
Dependence Properties of Meta-Elliptical Distributions -- The Statistical Significance of Palm Beach County -- Bayesian Functional Estimation of Hazard Rates for Randomly Right Censored Data Using Fourier Series Methods -- Conditions for the Validity of F-Ratio Tests for Treatment and Carryover Effects in Crossover Designs -- Bias in Estimating the Variance of K-Fold Cross-Validation -- Effecti…
Presentation of the Mumford-Shah Functional -- Functions in the Sobolev Spaces W1,p -- Regularity Properties for Quasiminimizers -- Limits of Almost-Minimizers -- Pieces of C1 Curves for Almost-Minimizers -- Global Mumford-Shah Minimizers in the Plane -- Applications to Almost-Minimizers (n = 2) -- Quasi- and Almost-Minimizers in Higher Dimensions -- Boundary Regularity.Award-winning monograph …
Two Classical Optimization Problems -- Gauss’ Question -- What Does Solution Mean? -- Network Design Problems -- A New Challenge: The Phylogeny -- An Analysis of Steiner’s Problem in Phylogenetic Spaces -- Tree Building Algorithms.The problem of "Shortest Connectivity" has a long and convoluted history: given a finite set of points in a metric space, search for a network that connects these…
Classical Techniques -- Integer Programming -- Genetic Algorithms -- Genetic Programming -- Tabu Search -- Simulated Annealing -- Variable Neighborhood Search -- Constraint Programming -- Multi-Objective Optimization -- Complexity Theory and the No Free Lunch Theorem -- Machine Learning -- Artificial Immune Systems -- Swarm Intelligence -- Fuzzy Reasoning -- Rough Set Based Decision Support -- …
Quadratic Programming Problems -- Existence Theorems for Quadratic Programs -- Necessary and Sufficient Optimality Conditions for Quadratic Programs -- Properties of the Solution Sets of Quadratic Programs -- Affine Variational Inequalities -- Solution Existence for Affine Variational Inequalities -- Upper-Lipschitz Continuity of the Solution Map in Affine Variational Inequalities -- Linear Fra…
Line Search Descent Methods for Unconstrained Minimization -- Standard Methods for Constrained Optimization -- New Gradient-Based Trajectory and Approximation Methods -- Example Problems -- Some Theorems.This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form without neglecting rigour. The work should enable the prof…
Duality and Optimality Conditions -- On Minimization of Max-Min Functions -- A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions -- Duality and Exact Penalization via a Generalized Augmented Lagrangian Function -- Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints -- The Use of Nonsmooth Analysis a…
Control of Systems Described by Elliptic-Type Partial-Differential Equations under Conjugation Conditions -- Control of a Conditionally Correct System Described by the Neumann Problem for an Elliptic-Type Equation under Conjugation Conditions -- Control of a System Described by a One-Dimensional Quartic Equation under Conjugation Conditions -- Control of a System Described by a Two-Dimensional …