ArticleInternational transactions in operational research : a journal of The International Federation of Operational Research Societies2022
On the optimal layout of a dining room in the era of COVID-19 using mathematical optimization.
Article in International transactions in operational research : a journal of The International Federation of Operational Research Societies, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- A simulated annealing with graph-based search for the social-distancing problem in enclosed areas during pandemics.PloS one · 2025Article
- Influences of obstacle factors on the transmission trends of respiratory infectious diseases in indoor public places.Journal of building engineering · 2023Article
- Physical distancing as an integral component of pandemic response.Letters in spatial and resource sciences · 2023Article
- Nonlinear time-series forecasts for decision support: short-term demand for ICU beds in Santiago, Chile, during the 2021 COVID-19 pandemic.International transactions in operational research : a journal of The International Federation of Operational Research Societies · 2022Article
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Authors and funding
2 authors.
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Abstract
We consider the problem of maximizing the number of people that a dining room can accommodate provided that the chairs belonging to different tables are socially distant. We introduce an optimization model that incorporates several characteristics of the problem, namely: the type and size of surface of the dining room, the shapes and sizes of the tables, the positions of the chairs, the sitting sense of the customers, and the possibility of adding space separators to increase the capacity. We propose a simple, yet general, set-packing formulation for the problem. We investigate the efficiency of space separators and the impact of considering the sitting sense of customers in the room capacity. We also perform an algorithmic analysis of the model, and assess its scalability to the problem size, the presence of (or lack thereof) room separators, and the consideration of the sitting sense of customers. We also propose two constructive heuristics capable of coping with large problem instances otherwise intractable for the optimization model.
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