1. Basic Concepts -- 1.1. Modeling -- 1.2. Classification of Processes -- 1.3. Process Parameters and Variables and their Classification -- 1.4. Classification of Process Models -- Capter 2. Optimizing Models -- 2.1. General Considerations -- 2.2. Objective Function — an Example -- 2.3....

1. Linear programming in growth model over an infinite horizon -- 2. Mathematical formulation of the linear programming system -- 3. Directedness, feasibility, and regularity -- 4. Partial objective functions -- 5. Inferiority -- 6. Optimality -- 7. Parametric properties -- 8. Paths of...

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...

1. Introduction and summary -- I. Countable state space -- 2. Decision models and definition of the problem -- 3. The principle of optimality and the optimality equation -- 4. Value iteration -- 5. Criteria of optimality and existence of $$\bar{p} $$-optimal plans -- 6. Sufficient statistics,...

0. Prerequisites -- 1. Linear Programming. -- 2. Nonlinear Programming -- 3. Measure Theory and Probability Theory -- I. Introduction -- II. Distribution Problems -- 1. The General Case -- 2. Special Problems -- III. Two Stage Problems -- 1. The General Case -- 2. The Fixed Recourse Case -- 3....

The theorem of Minkowski for polyhedral monoids and aggregated linear diophantine systems -- Integer rounding and polyhedral decomposition for totally unimodular systems -- Measure extensions according to a given function -- On parametric linear optimization -- On the complexity of clustering...

The Markov Renewal Branching Process -- Some Topics in Queueing Network Theory -- Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior -- Graphical Representation of Queue Evolution for Multiple-Server Systems -- Wiener-Hopf Techniques in Queueing Theory --...

This book is based on lectures given in a one-quarter course at UCLA. The aim. is to present som.e of the basic concepts and techniques of Functional Analys.is of relevance to optim.ization problem.s in Control. Com.m.unication and other areas in System. Science. The students are expected to...