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Optimization Models for Rail Car Fleet Management
Front Cover; Optimization Models for Rail Car Fleet Management; Copyright; Contents; Biographies; Acknowledgments; Executive summary; Chapter 1: Introduction; 1.1. Problem statement; 1.2. Main objectives; 1.3. Structure of the book; Chapter 2: Review of the models for rail freight car fleet management; 2.1. Operational models; 2.1.1. Empty freight car inventory management problems; 2.1.2. Empty freight car distribution; 2.1.2.1. Deterministic approaches; 2.1.2.2. Stochastic approaches; 2.1.2.3. Hybrid approaches; 2.1.3. Freight car pooling concept
2.1.4. Combined allocation of empty and loaded cars2.2. Tactical and strategic models for freight car management; 2.2.1. Service network design problem; 2.2.2. Demand estimation; 2.2.2.1. Models for production and attraction; 2.2.2.2. Distribution models; 2.2.2.3. Models for modal split; 2.2.2.4. Assignment models; 2.2.3. Rail freight car fleet sizing models; Chapter 3: Centralized and decentralized model for empty freight car scheduling; 3.1. Characteristics of decentralized managerial-control functions in the process of empty freight car allocation; 3.2. Centralized network model
3.3. Solution method of triaxial transportation problem3.3.1. Basic solution; 3.3.2. Feasible solution; 3.3.3. Final solution; 3.3.4. Problem of degeneration; 3.4. Decentralization of the main managerial functions in the empty car allocation process; 3.5. Decentralized terminal model of empty freight car allocation; 3.6. Validation of the proposed model; Chapter 4: Fuzzy multiobjective rail freight car fleet composition; 4.1. The best rail freight car fleet mix problem; 4.1.1. Classification of freight cars; 4.1.2. Utilization of freight cars according to their characteristics
4.1.3. Proposed problem solution4.1.3.1. The selection of relevant criteria; 4.1.3.2. Analytic Hierarchy Process; 4.1.3.3. Theoretical basics of AHP; 4.1.3.4. Mathematical basics of AHP; 4.1.3.5. Fuzzy extension of AHP method; 4.1.4. Fuzzy AHP method for the best rail freight car fleet mix problem; 4.2. The best rail freight car fleet size problem; 4.2.1. Theoretical foundations of the problem solution; 4.2.2. Fuzzy multiobjective linear programming; 4.2.3. Statement and solution of the problem
Chapter 5: Fuzzy random model for rail freight car fleet management based on optimal control theory5.1. Fuzzy preliminaries; 5.1.1. Fuzzy sets; 5.1.2. Fuzzy numbers; 5.1.3. Triangular fuzzy matrices; 5.1.4. The main features of triangular fuzzy matrices; 5.1.5. Inverse triangular fuzzy matrices; 5.1.5.1. Necessary and sufficient conditions for the invertibility of fuzzy matrices; 5.1.5.2. Application of Rohn's scheme for determining of the inverse fuzzy matrix; 5.1.6. Defuzzification of triangular fuzzy numbers; 5.1.7. Fuzzy random variables
5.2. Fuzzy stochastic model for rail freight car fleet sizing and allocation
Includes bibliographical references and index.