Abstract
The coronavirus disease (COVID-19) pandemic has challenged multiple aspects of our lives. Social distancing among other preventive measures for reducing the contagion probability have supposed a significant challenge for many establishments. Restaurants, schools, conferences are establishments founded by the congregation of participants, distributed in tables or chairs over a certain scenario. These enterprises now face an optimization problem in their daily routine, where they seek to maximize the interpersonal distance while also allocating the maximum number of assistants. The optimization of these distribution paradigms, such as the CLP (Chair Location Problem), has been defined as NP-Hard, therefore, the use of metaheuristic techniques, such as Genetic Algorithms is recommended for obtaining an optimal solution within a polynomial time. In this paper, a GA is proposed for solving the CLP, attaining an optimal solution that maximizes the interpersonal distance among assistants while also guaranteeing a minimum distance separation for reducing the contagion probability. Results of the proposed methodology and multiple fitness evaluation strategies prove its viability for attaining a valid distribution for these establishments, thus satisfying the main objectives of this research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bullard, J., et al.: Predicting infectious severe acute respiratory syndrome Coronavirus 2 from diagnostic samples. Clin. Infect. Dis. 71(10), 2663–2666 (2020)
Borak, J.: Airborne transmission of COVID-19. Occup. Med. 70(5), 297–299 (2020)
Rowe, B.R., Canosa, J.A., Drouffe, J.M., Mitchell, J.B.: Simple quantitative assessment of the outdoor versus indoor airborne transmission of viruses and COVID-19. Environ. Res. 198, 111189 (2021)
Ujiie, M., Tsuzuki, S., Ohmagari, N.: Effect of temperature on the infectivity of COVID-19. Int. J. Infect. Dis. 95, 301–303 (2020)
Welsch, R., Hecht, H., Chuang, L., Von Castell, C.: Interpersonal distance in the SARS-CoV-2 crisis. Human Factors J. Human Factors Ergonomics Soc. 62(7), 1095–1101 (2020)
Lisi, M.P., Scattolin, M., Fusaro, M., Aglioti, S.M.: A Bayesian approach to reveal the key role of mask wearing in modulating projected interpersonal distance during the first COVID-19 outbreak. Plos One 16(8), e0255598 (2021)
Bhagat, R.K., Wykes, M.D., Dalziel, S.B., Linden, P.F.: Effects of ventilation on the indoor spread of COVID-19. J. Fluid Mech. 903, F1 (2020). https://doi.org/10.1017/jfm.2020.720
Berardi, A., et al.: Hand sanitisers amid CoViD-19: a critical review of alcohol-based products on the market and formulation approaches to respond to increasing demand. Int. J. Pharm. 584, 119431 (2020)
Kretzschmar, M.E., Rozhnova, G., Van Boven, M.: Isolation and contact tracing can tip the scale to containment of COVID-19 in populations with social distancing. Front. Phys. 8, 677 (2021)
Mandel, A., Veetil, V.: The economic cost of COVID lockdowns: an out-of-equilibrium analysis. Econ. Disasters Climate Change 4, 431–451 (2020)
Del Rio, C., Omer, S.B., Malani, P.N.: Winter of Omicron—the evolving COVID-19 pandemic. JAMA 327(4), 319–320 (2022)
Lelieveld, J., et al.: Model calculations of aerosol transmission and infection risk of COVID-19 in indoor environments. Int. J. Environ. Res. Public Health 17(21), 8114 (2020)
Echevarría-Huarte, I., Garcimartín, A., Hidalgo, R.C., Martín-Gómez, C., Zuriguel, I.: Estimating density limits for walking pedestrians keeping a safe interpersonal distancing. Sci. Rep. 11, 534 (2021)
Bañón, L., Bañón, C.: Improving room carrying capacity within built environments in the context of COVID-19. Symmetry 12(10), 1683 (2020)
Ferrero-Guillén, R., Díez-González, J., Verde, P., Álvarez, R., Perez, H.: Table organization optimization in schools for preserving the social distance during the COVID-19 pandemic. Appl. Sci. 10(23), 8392 (2020)
Ferrero-Guillén, R., Díez-González, J., Martínez-Guitiérrez, A., Álvarez, R.: Optimal COVID-19 adapted table disposition in hostelry for guaranteeing the social distance through memetic algorithms. Appl. Sci. 11(11), 4957 (2021)
Ferrero-Guillén, R., Díez-González, J., Verde, P., Martínez-Gutiérrez, A., Alija-Pérez, J.-M., Perez, H.: Memory chains for optimizing the table disposition during the COVID-19 pandemic. In: Rojas, I., Castillo-Secilla, D., Herrera, L.J., Pomares, H. (eds.) BIOMESIP 2021. LNCS, vol. 12940, pp. 472–483. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-88163-4_40
Ghosh, J.B.: Computational aspects of the maximum diversity problem. Oper. Res. Lett. 19(4), 175–181 (1996)
Kuo, C.-C., Glover, F., Dhir, K.S.: Analyzing and modeling the maximum diversity problem by zero-one programming. Decis. Sci. 24(6), 1171–1185 (1993)
Li, Y., Ng, K.C., Murray-Smith, D.J., Gray, G.J., Sharman, K.C.: Genetic algorithm automated approach to the design of sliding mode control systems. Int. J. Control 63(4), 721–739 (1996)
Díez-González, J., Álvarez, R., González-Bárcena, D., Sánchez-González, L., Castejón-Limas, M., Perez, H.: Genetic algorithm approach to the 3D node localization in TDOA systems. Sensors 19(18), 3880 (2019)
Ferrero-Guillén, R., Álvarez, R., Díez-González, J., Sánchez-Fernández, Á., Pérez, H.: Genetic algorithm optimization of lift distribution in subsonic low-range designs. In: Herrero, Á., Cambra, C., Urda, D., Sedano, J., Quintián, H., Corchado, E. (eds.) SOCO 2020. AISC, vol. 1268, pp. 520–529. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-57802-2_50
Karakatič, S.: Optimizing nonlinear charging times of electric vehicle routing with genetic algorithm. Expert Syst. Appl. 164, 114039 (2021)
Kim, Y.-H., Yoon, Y.: An efficient GA for maximum coverage deployment in WSN’s. IEEE Trans. Cybern. 43 (2013)
Verde, P., Díez-González, J., Ferrero-Guillén, R., Martínez-Gutiérrez, A., Perez, H.: Memetic chains for improving the local wireless sensor networks localization in urban scenarios. Sensors 21(7), 2458 (2021)
Ferrero-Guillén, R., Díez-González, J., Álvarez, R., Pérez, H.: Analysis of the genetic algorithm operators for the node location problem in local positioning systems. In: de la Cal, E.A., Villar Flecha, J.R., Quintián, H., Corchado, E. (eds.) HAIS 2020. LNCS (LNAI), vol. 12344, pp. 273–283. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-61705-9_23
Funding
The research conducted in this paper has been funded by the Spanish Ministry of Science and Innovation grant number PID2019-108277GB-C21.
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 Springer Nature Switzerland AG
About this paper
Cite this paper
Ferrero-Guillén, R., Díez-González, J., Verde, P., Martínez-Gutiérrez, A., Alija-Pérez, JM., Álvarez, R. (2022). Optimal Chair Location Through a Maximum Diversity Problem Genetic Algorithm Optimization. In: Rojas, I., Valenzuela, O., Rojas, F., Herrera, L.J., Ortuño, F. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2022. Lecture Notes in Computer Science(), vol 13346. Springer, Cham. https://doi.org/10.1007/978-3-031-07704-3_34
Download citation
DOI: https://doi.org/10.1007/978-3-031-07704-3_34
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-07703-6
Online ISBN: 978-3-031-07704-3
eBook Packages: Computer ScienceComputer Science (R0)