Abstract
The effect of laziness in the group chase and escape problem is studied using a simple model. The laziness is introduced as random walks in two ways: uniformly and in a "division of labor" way. It is shown that, while the former is always ineffective, the latter can improve the efficiency of catching, through the formation of pincer attack configuration by diligent and lazy chasers.
Highlights
The effect of laziness in the group chase and escape problem is studied using a simple model
A recently proposed simple model of multiple chasers and multiple escaping targets[1] shed a new light on a classical chase and escape problem
To model a lazy chaser which does not chase the targets diligently, we substitute a random walk with equal probability 1/4 for each direction for the diligent chasing
Summary
The effect of laziness in the group chase and escape problem is studied using a simple model. To model a lazy chaser which does not chase the targets diligently, we substitute a random walk with equal probability 1/4 for each direction for the diligent chasing. Each chaser may perform a random walk with certain probability P (0 ≤ P ≤ 1) at each time-step.
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