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Optimal Seat Allocation Under Social Distancing Constraints

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arxiv 2105.05017 v1 pith:UJF3HZSV submitted 2021-05-11 cs.OH math.OC

Optimal Seat Allocation Under Social Distancing Constraints

Michael Barry , Claudio Gambella , Fabio Lorenzi , John Sheehan , Joern Ploennigs This is my paper
classification cs.OH math.OC
keywords constraintsgraphallocationapproachdistancingproblemreturnsocial
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The Covid-19 pandemic introduces new challenges and constraints for return to work business planning. We describe a space allocation problem that incorporates social distancing constraints while optimising the number of available safe workspaces in a return to work scenario. We propose and demonstrate a graph based approach that solves the optimisation problem via modelling as a bipartite graph of disconnected components over a graph of constraints. We compare results obtained with a constrained random walk and a linear programming approach.

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