Reduction and Decomposition of Modulo Optimization Problems -- Optimization of Elastic Structures by Mathematical Programming Techniques -- On Closed Sets Having a Least Element -- On the Convergence of the Variable Metric Method with Numerical Derivatives and the Effect of Noise in the Function...

1. The Queue M/G/1 with Group Arrivals -- 1.1 Description and Definitions -- 1.2 Busy Period Transitions -- 1.3 General Transitions of Q(T) -- 1.4 Limiting Behavior of Q(T) -- 1.5 Q(T) and the Unexpended Service Time -- 1.6 Waiting Time W(T): An Approach Through Q(T) -- 1.7 Waiting Time W(T): An...

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...

1: Introduction -- 2: Basic Structure -- 2.1 Problem Definition -- 2.2 Problem Formulation -- 2.3 Problem Assumptions -- 3: Measures of Performance -- 3.1 Characteristics of Criteria -- 3.2 Single Criteria -- 3.3 Multiple Criteria -- 4: Combinatorial Aspects -- 4.1 Characteristics of Sequences...

I. Equivalent Axiomatic Definitions and Elementary Properties of Matroids -- §1.1. The first rank-axiomatic definition of a matroid -- §1.2. The independence-axiomatic definition of a matroid -- §1.3. The second rank-axiomatic definition of a matroid -- §1.4. The circuit-axiomatic definition...

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...

I: Nash’s Model of Bargaining -- Section A. Introduction -- Section B. The Formal Model and Axiomatic Derivation -- Section C. Probabilistic Models -- Section D. Risk Posture -- II: Other Models of Bargaining -- Section A. A Critical Evaluation of the Independence Properties -- Section B....

1. The Concept of Objectives -- 1.1. The Decision Situation under Consideration -- 1.2. The Concept of Objectives under Certainty -- 1.3. The Concept of Objectives under Uncertainty -- 2. Formal Statement of the Problem -- 2.1. Complete Systems of Objectives -- 2.2. Criteria Vectors -- 2.3. The...

I: Introduction -- 1.1 A Perspective -- 1.2 Earlier Work -- II: Mathematical Formulation of the Bulk Queuing Problem -- 2.1 A Class of Markov Recurrence Relations -- 2.2 The Abstract Formalism -- III: A Numerical Approach to Waiting Line Problems -- 3.1 Numerical Methods in Queuing Theory -- 3.2...