Optimization Models for Rail Car Fleet Management

Cover
OPTIMIZATION
MODELS FOR RAIL
CAR FLEET
MANAGEMENT
Copyright
Biographies
Acknowledgments
Executive summary
1
Introduction
	Problem statement
	Main objectives
	Structure of the book
2
Review of the models for rail freight car fleet management
	Operational models
		Empty freight car inventory management problems
		Empty freight car distribution
			Deterministic approaches
			Stochastic approaches
			Hybrid approaches
		Freight car pooling concept
		Combined allocation of empty and loaded cars
	Tactical and strategic models for freight car management
		Service network design problem
		Demand estimation
			Models for production and attraction
			Distribution models
			Models for modal split
			Assignment models
		Rail freight car fleet sizing models
3
Centralized and decentralized model for empty freight car scheduling
	Characteristics of decentralized managerial-control functions in the process of empty freight car allocation
	Centralized network model
	Solution method of triaxial transportation problem
		Basic solution
		Feasible solution
		Final solution
		Problem of degeneration
	Decentralization of the main managerial functions in the empty car allocation process
	Decentralized terminal model of empty freight car allocation
	Validation of the proposed model
4
Fuzzy multiobjective rail freight car fleet composition
	The best rail freight car fleet mix problem
		Classification of freight cars
		Utilization of freight cars according to their characteristics
		Proposed problem solution
			The selection of relevant criteria
			Analytic Hierarchy Process
			Theoretical basics of AHP
			Mathematical basics of AHP
			Fuzzy extension of AHP method
		Fuzzy AHP method for the best rail freight car fleet mix problem
	The best rail freight car fleet size problem
		Theoretical foundations of the problem solution
		Fuzzy multiobjective linear programming
		Statement and solution of the problem
5
Fuzzy random model for rail freight car fleet management based on optimal control theory
	Fuzzy preliminaries
		Fuzzy sets
		Fuzzy numbers
		Triangular fuzzy matrices
		The main features of triangular fuzzy matrices
		Inverse triangular fuzzy matrices
			Necessary and sufficient conditions for the invertibility of fuzzy matrices
			Application of Rohn's scheme for determining of the inverse fuzzy matrix
		Defuzzification of triangular fuzzy numbers
		Fuzzy random variables
	Fuzzy stochastic model for rail freight car fleet sizing and allocation
		Model parameters
		Objective functional
		Problem constraints
		Fuzzy state vector estimation
		Proposed approach for solving the problem based on the fuzzy linear quadratic Gaussian regulator
		The components of weighting matrices A, B, and L
		Choosing the components of the fuzzy weighting matrix ΓP
	Numerical experiments
	Comparative analysis of the results of the fuzzy random and random model
6
Stochastic model for heterogeneous rail freight car fleet management based on the model predictive control
	Discrete time MPC framework for rail freight car fleet sizing and allocation problem
	Design variables
	System performance measure and constraints
		System dynamics
		Nonnegative control constraints
		Nonnegative state constraints
		Capacity constraints
	State vector estimation
	Forecasting the state of rail freight cars by ARIMA-Kalman method
		Components of weighted matrices A, B, and L
		The components of matrix Γ(P)
	MPC controller
		Optimization problem
		Detailed description of the MPC approach
		Numerical experiments
7
Distributed and decentralized approaches for rail freight car management
	Distributed model predictive rail freight car management
		Problem description
		Cooperative MPC for freight car flow planning
	Decentralized model predictive rail freight car management
	Numerical example
8
Conclusions
References
Index
	A
	B
	C
	D
	E
	F
	G
	H
	I
	K
	L
	M
	N
	O
	P
	Q
	R
	S
	T
	V
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