The Bat algorithm is a metaheuristic algorithm for global optimization. It was inspired by the echolocation behavior of microbats, with varying pulse rates of emission and loudness. The Bat algorithm was developed by Xin-She Yang in 2010. Metaheuristic algorithms such as particle swarm optimization and simulated annealing are now becoming powerful methods for solving many tough optimization problems . The vast majority of heuristic and metaheuristic algorithms have been derived from the behavior of biological systems and/or physical systems in nature. For example, particle swarm optimization was developed based on the swarm behavior of birds and fish, while simulated annealing was based on the annealing process of metals. New algorithms are also emerging recently, including harmony search and the firefly algorithm. The former was inspired by the improvising process of composing a piece of music, while the latter was formulated based on the flashing behavior of fireflies. Each of these algorithms has certain advantages and disadvantages . For example, simulating annealing can almost guarantee to find the optimal solution if the cooling process is slow enough and the simulation is running long enough; however, the fine adjustment in parameters does affect the convergence rate of the optimization process .
2. Bat Echolocation Behavior
A focal bat (left) emits an echolocation signal (blue). Echoes (pink) return simultaneously from a potential prey item and a tree obstacle. A second insect emits an acoustic signal (red), and a conspecific echolocate nearby (green). Note that each of these acoustic stimuli could serve as signal or as noise, depending on the focal animal’s current behavioral goals .
3. Bat Search Algorithm (BSA)
Bat algorithm is based on the echolocation behavior of microbats with varying pulse rates of emission and loudness. The idealization of the echolocation of microbats can be summarized as follows: Each virtual bat flies randomly with a velocity at position (solution) with a varying frequency or wavelength and loudness . As it searches and finds its prey, it changes frequency, loudness and pulse emission rate. Search is intensified by a local random walk. Selection of the best continues until certain stop criteria are met. This essentially uses a frequency-tuning technique to control the dynamic behavior of a swarm of bats, and the balance between exploration and exploitation can be controlled by tuning algorithm-dependent parameters in bat algorithm .
3.1. Rules of Bat BSA
- All bats use ecolocation to sense distance, and they also know the difference between food/prey and background barriers in some magical way .
- Bats fly randomly with velocity at position with a fixed frequency varying loudness to search for prey.
- Although the loudness can vary in many ways .
3.2. Bat Behavior
- Echolocation is the some bats have evolved a highly sephisticated sense of hearing.
- They emit sounds that bounce off of objects in their path, sending echoes back to the bats .
- From these echoes, the bats can determine the size of objects, distance how fast they are travelling .
3.3. Steps for BSA
- Update position and velocity
- Generate random number
- Fitness values
In initialization, the parameters of an algorithm are initialized, after that it generates an initial population using random distribution, and at last, the best solution is illustrated from that initial population .
3.3.2. Update position and velocity
Calculate the fitness function of the selected objective functions with the initial position, the velocity and weights. Set the best particle from the initially evaluated solution. It involves process randomization, and new solution generation (position update), which sorts and compares among best possible outcomes . Now the feasibility rule must be carried out to obtain a new population. In this step, the population is updated based on injective scheme (one-to-one), where the solution after implementing the rough set scheme is compared with corresponding one obtained by the bat procedures .
3.3.3. Generate Random Number
A long-term lack of improvement regarding the best result during the run was one of the most reliable indicators of the stagnation. If the fitness value did not improve over a number of generations, this probably means that the search process got stuck within a local optimum .
3.3.4. Fitness values
Focused on fitness training in regard to cycling. Incorporation of strength training in cyclist’s preparatory periods has received more attention over the last two decades. Most of the serious and competitive cyclists also include strength training in their training programs. It is also evident in some previous research that adding strength training to an endurance training program can increase endurance performance .
3.4. Flow Chart
4. Numerical Expression for BSA
BSA is applied to this equation,
5. Applications of BSA
- Image processing
- Fuzzy logic and other applications
- Continuous optimization in engineering
- Inverse problem, parameter estimation
- Combinatorial optimization and scheduling
- Classifications, clustering and Data mining
- Biology and medical problem
- Economic dispatch problem
- Feature selection
- Multilevel image thresholding
6. Advantages of BSA
- Simple, Flexible, and Easy to implement.
- Solve a wide range of problems and highly non linear problems efficiently.
- Provides very quick convergence at a very initial stage by switching from exploration to exploitation.
- The loudness and pulse emission rates essentially provide a mechanism for automatic control and auto-zooming into the region .
- It gives promising optimal solutions.
- Works well with complicated problems .
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In section 4 please provide the explanation about the mathematical notations. Doing so would help the reader.
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Thanks for your detailed explanation. It helps me a lot for my research.