Abstract: This paper proposes a genetic algorithm based on a
new replacement strategy to solve the quadratic assignment problems,
which are NP-hard. The new replacement strategy aims to improve the
performance of the genetic algorithm through well balancing the
convergence of the searching process and the diversity of the
population. In order to test the performance of the algorithm, the
instances in QAPLIB, a quadratic assignment problem library, are
tried and the results are compared with those reported in the literature.
The performance of the genetic algorithm is promising. The
significance is that this genetic algorithm is generic. It does not rely on
problem-specific genetic operators, and may be easily applied to
various types of combinatorial problems.
Abstract: Ant Colony Algorithms have been applied to difficult
combinatorial optimization problems such as the travelling salesman
problem and the quadratic assignment problem. In this paper gridbased
and random-based ant colony algorithms are proposed for
automatic 3D hose routing and their pros and cons are discussed. The
algorithm uses the tessellated format for the obstacles and the
generated hoses in order to detect collisions. The representation of
obstacles and hoses in the tessellated format greatly helps the
algorithm towards handling free-form objects and speeds up
computation. The performance of algorithm has been tested on a
number of 3D models.