Advanced Optimization by Nature-Inspired Algorithms by Omid Bozorg-Haddad

Author:Omid Bozorg-Haddad
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

8.2 Krill Swarms’ Herding Pattern

The basic core of a standard KHA is its krill herding simulator. The krill herd defuses after a hypothetical attack from a predator. This is the initial step in the standard KHA. Each krill after such an event has two priorities, which are decreasing its distance from both the food source and the highest density of the krill swarm. These imaginary distances are acting as the objective function, and minimizing these distances is considered as the goal of each krill individual. Consequently, the time-dependent position of an individual krill is governed by the motion induced by other krill individuals (N i ), foraging motion (F i ), and physical diffusion (D i ). As any efficient optimization algorithm should be compatible with arbitrary dimensions, since each arbitrary dimension is to represent a decision variable, the following Lagrangian model is generalized for an n-dimensional decision space (Gandomi and Alavi 2012):

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