Abstract
This paper proposes a phase angle-modulated bat algorithm (P-AMBA) for high-dimensional binary optimization. The idea was to reduce the optimization time by introducing angle modulation technology to reduce the optimization dimensions. Different from the original angle-modulated bat algorithm (AMBA), the control of the trigonometric generating function cosine wave is by introducing new parameters, thereby improving the perturbation ability of the function curve near the x-axis. P-AMBA can explore more 0/1 solutions, and it has advantages in optimizing convergence speed and global search capabilities. The numerical results of the 0–1 knapsack problem tests show that P-AMBA is superior to the contrast algorithms on optimization ability and optimization time. Finally, the experimental result of a compact dual-band planar monopole antenna design showed the effectiveness of P-AMBA in engineering applications.
Highlights
Antenna Topology Optimization.With the rapid development of modern society, big data have become a research hotspot and a large number of data sets need to be optimized
Inspired by AMBA, this paper proposes a new binary bat algorithm, named phase angle-modulated bat algorithm (P-AMBA), to solve high-dimensional binary optimization problems
Xgbest is the best solution far, and Fi indicates the frequency of the k-th dimension position and velocity of the i-th bat where Xi (t) and Vi (t) indicate the i-th bat that is updated in each course of iterations as follows: at iteration t, respectively
Summary
To improve the optimization ability of AMBA, some researchers proposed the amplitude angle-modulated bat algorithm (A-AMBA) [28] by adding one more parameter to control the amplitude of the sine wave in the generating function. The traditional antenna optimization by meta-heuristic algorithms is to firstly determine the shape of the antenna based on empirical research and to only optimize the dimensions of the given geometric parameters This method highly depends on antenna designers’ experiences but is not capable of designing more unexpected antenna geometries. By applying a six-dimensional trigonometric function, the proposed algorithm can greatly reduce the dimension of optimization variables and achieve a better convergence speed and global search capability than the basic BBA and AMBA.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
