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In the Multi-Objective Grey Wolf Optimizer (MOGWO), a fixed-sized external archive is integrated to the GWO for saving and retrieving the Pareto optimal solutions. This archive has been employed to define the social hierarchy and simulate the hunting behavior of grey wolves in multi-objective search spaces.

The Grey Wolf Optimizer(GWO) algorithm mimics the leadership hierarchy and hunting mechanism of grey wolves in nature. Four types of grey wolves such as alpha, beta, delta, and omega are employed for simulating the leadership hierarchy. In addition, three main steps of hunting, searching for prey, encircling prey, and attacking prey, are implemented to perform optimization.