Lattice gas model to describe a nightclub dynamics

Abstract

In this work, we propose a simple stochastic agent-based model to describe the revenue dynamics of a nightclub venue based on the relationship between profit and spatial occupation. The system consists of an underlying square lattice (nightclub’s dance floor) where every attendee (agent) can move to its first neighboring cells. Each guess has a characteristic delayed time between drinks, denoted as τ, after which it will show an urge to drink. At this moment, the attendee will tend to move towards the bar to buy a drink. After it leaves the bar zone, τ time steps should pass so it shows the need to drink again. Our model, among other points, shows that it is no use filling the bar to obtain profit, and optimization should be analyzed. We can do that more securely, considering the income and ticket cost ratio.