Geometric differential evolution (GDE) is a recently introduced formal generalization of traditional differential evolution (DE) that can be used to derive specific differential evolution algorithms for both continuous and combinatorial spaces retaining the same geometric interpretation of the dynamics of the DE search across representations. In this article, we first review the theory behind t...

‎Here‎, ‎we give a two phases algorithm based on integrating differential evolution (DE) algorithm with modified hybrid genetic algorithm (MHGA) for solving the associated nonlinear programming problem of a nonlinear optimal control problem‎. ‎In the first phase‎, ‎DE starts with a completely random initial population where each individual‎, ‎or solution‎...

Most of the real-life applications have many constraints and they are considered as constrained optimization problems (COPs). In this paper, we present a new hybrid genetic differential evolution algorithm to solve constrained optimization problems. The proposed algorithm is called hybrid genetic differential evolution algorithm for solving constrained optimization problems (HGDESCOP). The main...

-Past literature has attempted to solve the problem of network reconfiguration with Distributed Generators (DGs) without taking into consideration the intermittent renewable at a close proximity. Distribution Network Reconfiguration (ADNR) must account uncertain behavior of loads and wind when the commercial wind based DG, Doubly Fed Induction Generators (DFIG) supports a significant part of ne...

Differential evolution (DE) is a simple yet efficient evolutionary algorithm for real-world engineering problems. However, its search ability should be further enhanced to obtain better solutions when DE is applied to solve complex optimization problems. This paper presents an enhanced differential evolution with elite chaotic local search (DEECL). In DEECL, it utilizes a chaotic search strateg...

The differential evolution (DE) algorithm with a new differential mutation base strategy, namely best of random, is applied to the synthesis of unequally spaced antenna arrays. In the best of random mutation strategy, the best individual among three randomly chosen individuals is used as the mutation base while the other two are for the vector difference. Hence a good balance of diversity and e...

This paper presents the implementation of HDE algorithm for Concurrent Relay-PID (CRPID) controller for motor position servo systems. CRPID is composed of a deadband relay subcontroller which improves the transient performance and the parallel PID subcontroller which improves the steady state performance of the system. Controller is implemented using modern heuristic tuning techniques which are...

The application of Evolutionary algorithms (EAs) for multi-objective problems (MOPs) has been receiving a growing interest since 1980s. Among the large amount of literature in this area, differential evolution (DE) for MOPs is widely investigated and has shown several advantages over other EAs. However, due to the inherent characteristics of MOPs, plain DE cannot be directly applied for MOPs bu...

This work proposes the Improved Differential Evolution (IDE) for single objective optimization problems with continuous variables. The proposed IDE uses improved Differential Evolution (DE) operators (mutation and crossover) in order to explore the state space of possible solutions with greater effectiveness, as well as to accelerate its convergence speed. Furthermore, an experimental analysis ...