Hydrothermal Circulation Inspired Optimization Algorithm for Complex Problems

This paper proposes a heuristic optimization algorithm based on the mechanism of submarine hydrothermal circulation. The submarine hydrothermal circulation has the characteristics of infiltration, upwelling, chemical precipitation/dissolution, and fluid diffusion, which provides a natural inspiration for algorithm design. This paper compares the solution vector in the optimization problem to seawater particles and the local optimal area to hydrothermal vents, and realizes the coupling of global search and local search through the infiltration-upwelling-precipitation/diffusion mechanism. The algorithm introduces dynamic local enrichment weights and nonlinear chemical perturbations, so that the search process can adaptively adjust the step size and direction, thereby increasing the ability to escape the local optimum. The mathematical model of the algorithm is derived in detail in this paper, including the infiltration mechanism, upwelling mechanism, chemical perturbation mechanism, fluid diffusion mechanism, and the weight evolution mechanism of the local enrichment area. This algorithm provides a new approach to solving high-dimensional complex optimization problems.