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

Note that by incorporating lead time in the planning model constraints (2b), (2c), and (2e) in model (2) have changed, and the remaining constraints are as in (2). Constraints (5b) and (5c) require the conservation of ventilators for the regions at each time period, where a ventilator sent by the federal agency to a region at time period t − L, t > L, will become available for the region at time period t. Constraints (5d) and (5e) ensure the conservation of ventilators for the central agency, respectively, where a ventilator sent by a region to the federal agency at time period t − L, t > L, will become available for the central agency at time period t. Constraint (5g) and (5h) enforce that the total number of outgoing ventilators from the central agency to the regions cannot be larger than the available inventory, after incorporating the newly produced ventilators and the incoming ones from other regions. Similar to (2b) and (2c), constraints (2e) are also divided into sets for t ≤ L and t > L in (5g) and (5h). By incorporating the finiteness of the support ofd, a linearized reformulation of model (1) can be written as a mixed-binary linear program in the following extensive form: Similar to (3), model (4) 7 . CC-BY-NC 4.0 International license It is made available under a author/funder, who has granted medRxiv a license to display the preprint in perpetuity.