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Lattice gas model to describe a nightclub dynamics

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  • Stock, Eduardo Velasco
  • da Silva, Roberto

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.

Suggested Citation

  • Stock, Eduardo Velasco & da Silva, Roberto, 2023. "Lattice gas model to describe a nightclub dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
  • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000188
    DOI: 10.1016/j.chaos.2023.113117
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    References listed on IDEAS

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    1. da Silva, Roberto & Hentz, Agenor & Alves, Alexandre, 2015. "Stochastic model of self-driven two-species objects inspired by particular aspects of a pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 139-148.
    2. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    3. Nhi-Ha T Trinh & Deborah L Nadler & Vivian Shie & Felipe Fregni & Stephen E Gilman & Colleen M Ryan & Jeffrey C Schneider, 2014. "Psychological Sequelae of the Station Nightclub Fire: Comparing Survivors with and without Physical Injuries Using a Mixed-Methods Analysis," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-16, December.
    4. Sticco, I.M. & Frank, G.A. & Dorso, C.O., 2021. "Social Force Model parameter testing and optimization using a high stress real-life situation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    5. Burstedde, C & Klauck, K & Schadschneider, A & Zittartz, J, 2001. "Simulation of pedestrian dynamics using a two-dimensional cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 507-525.
    6. Jeffrey C Schneider & Nhi-Ha T Trinh & Elizabeth Selleck & Felipe Fregni & Sara S Salles & Colleen M Ryan & Joel Stein, 2012. "The Long-Term Impact of Physical and Emotional Trauma: The Station Nightclub Fire," PLOS ONE, Public Library of Science, vol. 7(10), pages 1-9, October.
    7. Vitor Crestani Calegaro & Pedro Henrique Canova Mosele & Bianca Lorenzi Negretto & Cleonice Zatti & Angelo Batista Miralha da Cunha & Lucia Helena Machado Freitas, 2019. "The role of personality in posttraumatic stress disorder, trait resilience, and quality of life in people exposed to the Kiss nightclub fire," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-17, July.
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