Mathematical Programming Approaches for Multi-Vehicle Motion Planning (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
92
Utgivningsdatum
2013-11-14
Förlag
now publishers Inc
Medarbetare
Benson, Hande / Kam, Moshe
Illustratör/Fotograf
black & white illustrations
Illustrationer
black & white illustrations
Dimensioner
234 x 156 x 5 mm
Vikt
141 g
Antal komponenter
1
Komponenter
49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam
ISBN
9781601987228
Mathematical Programming Approaches for Multi-Vehicle Motion Planning (häftad)

Mathematical Programming Approaches for Multi-Vehicle Motion Planning

Linear, Nonlinear, and Mixed Integer Programming

Häftad Engelska, 2013-11-14
669
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Real world Multi-Vehicle Motion Planning (MVMP) problems require the optimization of suitable performance measures under an array of complex and challenging constraints involving kinematics, dynamics, collision avoidance, and communication connectivity. The general MVMP problem is thus formulated as a Mathematical Programming (Optimization) problem. This book presents a Mathematical Programming (MP) framework that captures the salient features of the general MVMP problem. To demonstrate the use of MP for the formulation and solution of MVMP problems, it examines in detail four representative works and summarizes several other related ones. Following this conceptual discussion, it provides a step-by-step demonstration of how to formulate, solve, and experimentally validate an MP problem that represents a MVMP. Finally, it discusses the advantages, technical challenges, and limitations of this framework. As solution algorithms and their implementations in solvers continue to develop, it is anticipated that MP solution techniques will be applied to an increasing number of MVMP problems. The framework, formulations, and experimental approach presented here may serve as a guide for future MVMP research.
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Innehållsförteckning

1: The Future is Bright... and Driverless; 2: The Building Blocks; 3: The Building Blocks; 4: Formulating and Solving Multi-Vehicle Motion Planning Problems; 5: Observations and Design Considerations.; A Time-Optimal control of a double integrator.; B Spectral Graph Theory and Graph Laplacian.; C Polygonal approximations of a circle.; D Approximation of an Ellipse by Two Intersecting Circles.; E Loiter Circles.; Acknowledgements.; Notations and Acronyms.; References.