Efficient hybrid algorithms to solve mixed discrete-continuous optimization problems

Population-based heuristic algorithms for continuous and mixed discrete-continuous optimization problems

Estimation Distribution Algorithm for mixed continuous-discrete optimization problems

In recent few years expressive progress in the theory and practice of Estimation of Distribution Algorithms (EDA) [1] has appeared, where the classical genetic recombination operators are replaced by probability estimation and stochastic sampling techniques. In this paper we identify some disadvantages of present probabilistic models used in EDAs and propose more general and efficient model for...

Using Hybrid Genetic Algorithms to Solve Discrete Location Allocation Problems with Rectilinear Distance

This paper presents a hybrid genetic algorithm to solve the uncapacitated location allocation problems as a combinatorial optimization problem. The proposed method incorporates a modified K-means algorithm that clusters the customers into groups based on the rectilinear distance, and then the initial population of solutions is calculated according to the derived centers of clusters. The hybrid ...

Continuous Reformulations of Discrete-Continuous Optimization Problems

This paper treats the solution of nonlinear optimization problems involving discrete decision variables, also known as generalized disjunctive programming (GDP) or mixed-integer nonlinear programming (MINLP) problems, that arise in process engineering. The key idea is to eliminate the discrete decision variables by adding a set of continuous variables and constraints that represent the discrete...

Ant Algorithms Solve Difficult Optimization Problems

The ant algorithms research field builds on the idea that the study of the behavior of ant colonies or other social insects is interesting for computer scientists, because it provides models of distributed organization that can be used as a source of inspiration for the design of optimization and distributed control algorithms. In this paper we overview this growing research field, giving parti...