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A "basin of attraction" is a set of solutions arriving at the same local optimal solution by Best-improvement Local Search. By utilizing the concept of basin of attraction in the solution space of combinatorial optimization problem, the solution space is interpreted as a higher structure, which is a set of basin of attraction, and a lower structure, which is a set of solutions, in this paper...
Recently, the development of high-performance metaheuristics has become an important subject. In this study, an adaptive Cuckoo Search based on ranking of search point is proposed. This study aims to improve the performance of Cuckoo Search by adjusting the parameter β to allow search points with good evaluation value to search nearby and those with poor evaluation value to search far away. Finally,...
We analyzed the search characteristics of Firefly Algorithm (FA), which has a fundamental nature of a Superior Solution Set Search Problem, previously defined in our previous study for single-objective optimization problems. In this study, we proposed a new FA method based on the former problem. This method, which employs cluster information by K-means clustering, is tested for performance by fundamental...
In this paper, we propose a new search strategy based on functional specialization for multi-objective optimization and a new multi-objective optimization method. The proposed strategy is based on two ideas. The first idea is the state evaluation and classification of search points to realize an advanced search structure. The second idea is to use operations with different features to achieve an efficient...
This paper proposes a new formulation for single-objective optimization problems and a Firefly Algorithm (FA)-based optimization method for problem formulation. The formulated problem requires a set of solutions with approximately the same evaluation values and appropriate differences in relation to decision variables. In addition, the FA-based optimization method was developed based on an analysis...
A new smart strategy for supply-demand control in distributed energy systems, which strategy is based on Energy Management System (EMS) and Dynamic Pricing (DP) is proposed in this paper. This strategy can achieve both economical operation of customers by EMS and maintenance of the supply demand balance by the indirect control of a power company using DP. The effectiveness of the coordinative control...
In this paper, we focus on Cuckoo Search (CS) that is one of metaheuristics, and propose an adaptive CS to improve its search performance and usability. First, we analyze basically and qualitatively the effects of CS's parameter on its search dynamics. Second, from the analysis results, we define an indicator that evaluates the search state of CS based on the effective metaheuristics strategy. Moreover,...
A big valley structure is known to exist as the landscape of solution-objective function value spaces in a multitude of combinatorial optimization problems. However, this paper proposes new meta-heuristics for combinatorial optimization problems based on the degree of establishment of the big valley structure. The performance of the proposed combinatorial optimization method is verified through simulations...
In recent years, the authors proposed a new multipoint metaheuristics, called Spiral Optimization (SPO), based on analogy of spiral phenomena for continuous optimization problems. The search points moving toward the common center with logarithmic spiral trajectories can find better solutions. In this paper, we propose a Cluster-structured SPO that aims to enhance diversification property to search...
In this paper, we focus on one of the Meta-Heuristics Differential Evolution (DE) and propose an adaptive parameter adjustment method to improve its search performance and usability. First, we define a scalar index based on numerical analysis according which diversification and intensification of search in DE can be executed. Moreover, we set an ideal target schedule for the index to reach a high...
In recent years, the authors proposed an effective metaheuristics method for continuous optimization problems based on analogy of spiral phenomena in nature which is called Spiral Optimization (SPO). The SPO has two setting parameters: the convergence rate and the rotation rate. Their values affect the search performance depending on computational and/or problem conditions. However, their effective...
In this paper, the authors propose a new practical multi-objective optimization framework that combines optimization method, modeling and simulation technologies organically. The new framework is called Multi-Objective Integrated Optimization that combines Multi-Objective Differential Evolution and Radial Basis Function Network. This new framework is used to reduce the number of accesses to a simulator...
In this paper, we introduce a new concept into solution space of combinatorial optimization problems, and propose an optimization method algorithm based on hierarchical structure in solution space. The introduced new concept: "basin of attraction" is a set binding solutions by utilizing properties of local optimal solution. We become able to construe solution space as not only set of solutions...
This paper first completes Spiral Optimization (SPO), which is a new metaheuristics method proposed by the authors based on analogy of spiral phenomena in nature, by refining our previous studies and adding some new matters. Secondary, we point out that the SPO model has a dynamic equilibrium point and strictly analyze its asymptotic stability and ε-stability. In addition, the stability analysis results...
This paper deals with autonomous decentralized operation for a distributed energy system composed of a number of customers with dispersed generation and storage systems. The distributed energy system studied in this paper has the following operation structures: (1) Operation for customer's energy storage which is decided by production rules with learning function, and (2) Operation for power flow...
Recently, the authors proposed a new metaheuristics method for continuous optimization problems based on analogy of spiral phenomena in nature which is called Spiral Optimization. The focused spiral phenomena are spirals which are approximated to logarithmic spirals. The Spiral Optimization utilizes a feature of the logarithmic spirals for global optimization. The Spiral Optimization has two tuning...
In this paper, a new optimization method based on a combination of Differential Evolution (DE) and Evolution Strategy (ES), which belong to both Meta-Heuristics and Evolutionary Computation, are developed as a fast approximation optimization method. A weak point of DE is weak local search ability and considerable computation time for obtaining a good approximate solution. The proposed method aims...
Metaheuristics is a framework of practical methods for global optimization problems. We recently proposed a new metaheuristics method inspired from spiral phenomena in nature which is called spiral optimization. However, the spiral optimization was restricted to 2-dimensional continuous optimization problems. In this paper, we develop a spiral optimization method for n-dimensional continuous optimization...
Recently we proposed a new multipoint search method in metahuristics for only 2-dimensional continuous optimization problems based on analogy of spiral phenomena in nature which is called 2-dimensional spiral optimization. The focused spiral phenomena which appear frequently in nature are approximated to logarithmic spirals. The 2-dimensional spiral optimization utilizes a feature of logarithmic spirals...
This paper presents a hierarchical optimization method for determining optimal operation of a distributed energy system which consists of a distribution network and customers with dispersed generation and storage systems. The optimal operation problem of a distributed energy system is divided into two subproblems; optimal operation of a dispersed energy system for a customer and optimal operation...
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