Lattice Gas model to describe a nightclub dynamics

TL;DR

This paper introduces a stochastic agent-based lattice model to simulate nightclub attendee movements and revenue dynamics, emphasizing the importance of optimizing the ratio between income and ticket costs rather than merely filling the bar.

Contribution

The work presents a novel lattice gas model that captures attendee behavior and revenue flow in nightclubs, highlighting optimization strategies for profit.

Findings

Filling the bar does not necessarily increase profit.

Optimal revenue depends on the ratio of income to ticket cost.

Agent movement dynamics influence overall nightclub revenue.

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) is allowed to move to its first neighboring cells. Each guess has a characteristic delayed time between drinks, denoted as $\tau$, after which it will show an urge to drink. At this moment, the attendee will tend to move towards the bar where a drink will be bought. After it has left the bar zone, $\tau$ time steps should pass so it shows once again the need to drink. Our model among other points show that it is no use filling the bar to obtain profit, and optimization should be analyzed. This can be done in a more secure way taking into consideration the ratio between income and ticket cost.