4.7 Article

Lattice gas model to describe a nightclub dynamics

期刊

CHAOS SOLITONS & FRACTALS
卷 168, 期 -, 页码 -

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2023.113117

关键词

Lattice gas; Pedestrian dynamics; Monte Carlo simulations; Mean-Field approximation

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In this study, a simple stochastic agent-based model is proposed to explain the revenue dynamics of a nightclub venue based on the relationship between profit and spatial occupation. The model consists of a square lattice representing the nightclub's dance floor, where attendees can move to neighboring cells. Each attendee has a specific time interval between drinks, denoted as τ, and will move towards the bar when feeling thirsty. After leaving the bar area, τ time steps should pass before feeling thirsty again. The model highlights the importance of optimization rather than simply filling the bar to maximize profit, taking into account the income and ticket cost ratio.
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 ������, 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, ������ 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.

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