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In the case of particle swarm optimization, this paper mainly analyzes and discusses the mathematical model and the analysis on searching for the global optimum region. Firstly, the global optimum region Θ is defined and calculated in the convergence step and the divergence step. Furthermore, the rate μ of locating into the global optimum region is mathematically related to the number of particles,...
Travel Salesman Problem (TSP) is a well-known combinatorial optimization problem. It is from NP-Complete class. To solve TSP a Hamiltonian path requires. With larger instances TSP solution is very complex and still now it is very challenging to solve. TSP large instances solution is very helpful in DNA sequencing and VLSI chips designing. In this paper a brand new fast and efficient method is provided...
In this paper, a novel population-based meta-heuristic algorithm, Discrete Cuckoo Search (DCS), is applied to solve Resource Constrained Project Scheduling Problem (RCPSP). The DCS is a modification of the existing Cuckoo Search which was adapted for solving combinatorial optimization problems. Application of the DCS for solving RCPSP was achieved by changing some of the algorithm's core elements,...
Biogeography-Based Optimization (BBO) is a recently developed global optimization algorithm and has shown its ability to solve complex optimization problem. In order to speed the optimization process and get better results, an improved opposition-based biogeography optimization (IOBBO) method is proposed. By dividing the range of values into several areas, the proposed method produce more evenly distributed...
Species Mutation technique, inspired from reliability design, is combined with a species conserving genetic algorithm (SCGA) to solve multimodal optimization problems. In reliability design, in order to improve system reliability and safety requirements, a redundancy component is added to a most efficient subsystem, in which the ratio of the increase of reliability to the increase of resources is...
The species conservation technique is a relatively new approach to finding multiple solutions of a multimodal optimization problem. When adopting such a technique, a species is defined as a group of individuals in a population that have similar characteristics and are dominated by the best individual, called the species seed. Species conservation techniques are used to identify species within a population...
As a complex engineering problem, the hybrid layout design with behavioural constraints is difficult to resolve by using conventional approaches. The challenges stem from three aspects: computational complexity, engineering complexity, and engineering practicability. This paper addresses the major issue in establishing three-dimensional layout models to support optimization calculation and constructing...
A kind of adaptive PID control algorithm is analyzed, and the drawbacks of the existing algorithms are commented. As an improvement, a neural network intelligent control algorithm based on one-step prediction is developed. Result show that the new control method is more adaptable to the control of time-varying and nonlinear control systems.
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