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Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > Robotics
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Mathematical Programming Approaches for Multi-Vehicle Motion Planning - Linear, Nonlinear, and Mixed Integer Programming (Paperback)
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Mathematical Programming Approaches for Multi-Vehicle Motion Planning - Linear, Nonlinear, and Mixed Integer Programming (Paperback)
Series: Foundations and Trends (R) in Robotics
Expected to ship within 9 - 17 working days
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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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