23,941 research outputs found
Proximal operators for multi-agent path planning
We address the problem of planning collision-free paths for multiple agents
using optimization methods known as proximal algorithms. Recently this approach
was explored in Bento et al. 2013, which demonstrated its ease of
parallelization and decentralization, the speed with which the algorithms
generate good quality solutions, and its ability to incorporate different
proximal operators, each ensuring that paths satisfy a desired property.
Unfortunately, the operators derived only apply to paths in 2D and require that
any intermediate waypoints we might want agents to follow be preassigned to
specific agents, limiting their range of applicability. In this paper we
resolve these limitations. We introduce new operators to deal with agents
moving in arbitrary dimensions that are faster to compute than their 2D
predecessors and we introduce landmarks, space-time positions that are
automatically assigned to the set of agents under different optimality
criteria. Finally, we report the performance of the new operators in several
numerical experiments.Comment: See movie at http://youtu.be/gRnsjd_ocx
SQG-Differential Evolution for difficult optimization problems under a tight function evaluation budget
In the context of industrial engineering, it is important to integrate
efficient computational optimization methods in the product development
process. Some of the most challenging simulation-based engineering design
optimization problems are characterized by: a large number of design variables,
the absence of analytical gradients, highly non-linear objectives and a limited
function evaluation budget. Although a huge variety of different optimization
algorithms is available, the development and selection of efficient algorithms
for problems with these industrial relevant characteristics, remains a
challenge. In this communication, a hybrid variant of Differential Evolution
(DE) is introduced which combines aspects of Stochastic Quasi-Gradient (SQG)
methods within the framework of DE, in order to improve optimization efficiency
on problems with the previously mentioned characteristics. The performance of
the resulting derivative-free algorithm is compared with other state-of-the-art
DE variants on 25 commonly used benchmark functions, under tight function
evaluation budget constraints of 1000 evaluations. The experimental results
indicate that the new algorithm performs excellent on the 'difficult' (high
dimensional, multi-modal, inseparable) test functions. The operations used in
the proposed mutation scheme, are computationally inexpensive, and can be
easily implemented in existing differential evolution variants or other
population-based optimization algorithms by a few lines of program code as an
non-invasive optional setting. Besides the applicability of the presented
algorithm by itself, the described concepts can serve as a useful and
interesting addition to the algorithmic operators in the frameworks of
heuristics and evolutionary optimization and computing
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