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Table of contents
1 Introduction
1.1 Context
1.2 Motivations
1.3 Research scope and thesis organization
2 Background
2.1 Carsharing systems
2.1.1 Principles and brief history
2.1.2 Carsharing models
2.1.2.1 The Round-Trip system
2.1.2.2 The One-way system
2.1.2.3 The Free-floating system
2.1.3 Positive impacts
2.1.3.1 Urban mobility
2.1.3.2 Economical aspects
2.1.3.3 Environmental effects
2.1.4 Related problems
2.1.4.1 Social aspects and demand modelling
2.1.4.2 The vehicle imbalance problem
2.2 A generator addressing the lack of data
2.2.1 Assumptions
2.2.2 Station positioning
2.2.3 Demand generation
2.2.4 Outputs
2.3 Synthesis and outlooks
I The System Dimensioning Problem
3 The System Dimensioning Problem
3.1 Introduction : problem description
3.2 Related work
3.3 Mathematical model
3.3.1 Formal problem statements
3.3.2 Time Expanded Graphs
3.3.2.1 Set of nodes
3.3.2.2 Set of arcs
3.3.2.3 Arcs Capacities
3.3.2.4 Additional notations
3.3.3 Flows and decision variables
3.3.4 Solution and objectives
3.3.5 Mathematical program
3.4 A polynomial sub-case
3.5 Conclusion
4 Some SDP experiments
4.1 Introduction
4.2 First experiments and scalability
4.2.1 Experimental context
4.2.2 3-pareto fontier
4.2.3 Scalability study
4.3 Working on relocation operations
4.3.1 Experimental conditions
4.3.2 Impacts on the TEG density
4.3.3 Solver computation times
4.4 Conclusion
II The Station Location Problem and energy aspects
5 The Station Location Problem and energy aspects
5.1 Introduction
5.2 The Station Location Problem
5.2.1 Related work
5.2.2 Problem modelling
5.2.2.1 Decision variables
5.2.2.2 Constraints
5.2.2.3 Outputs and Solution
5.2.3 Mathematical program
5.2.3.1 The master-slave scheme
5.2.3.2 The mathematical program
5.3 Adding energy components
5.3.1 Related work
5.3.2 Selected energy components and modelling issues
5.3.3 Mathematical program
5.3.3.1 Graph transformations
5.3.3.2 Additional parameters
5.3.3.3 Variables
5.3.3.4 Mathematical program
5.4 Discussions and improvements
5.4.1 Model statements
5.4.2 Removing the symmetries
5.4.3 A greedy heuristic
5.4.3.1 Functional description
5.5 Conclusion
6 Electric battery range study
6.1 Introduction
6.2 Experimental context
6.3 Results and analysis
6.4 Conclusion
7 Conclusion
7.1 Addressed problems
7.2 Results and contributions
7.2.1 Mathematical models for carsharing system design
7.2.2 Experimental observations
7.2.3 Random data generator
7.2.4 Industrial decision support tool
7.3 Perspectives
General bibliography
