A Model for Supply-Chain Decisions for Resource Sharing with an Application to Ventilator Allocation to Combat COVID-19

Sanjay Mehrotra; Hamed Rahimian; Masoud Barah; Fengqiao Luo; Karolina Schantz

Recall that in the model, parameter γ is used to indicate the fraction of ventilators used to care for non-COVID-19 patients. Additionally, a parameter τ is used in the model to estimate a state's willingness to share the fraction of their initial COVID-19-use ventilators. Similarly, the parameter ρ is used to control the state's risk-aversion to sending their idle ventilators to FEMA for use in a different state. We suppose that for all states n, n ∈ N , we have γ n = γ, ρ n = ρ, and τ n = τ . In order to systematically study the ventilator allocations and shortfalls, we used the following parameters: γ ∈ {50%, 60%, 75%}, ρ ∈ {1.25, 1.5, 3}, and τ ∈ {0%, 10%, 25%}.