The MaPS seminar is a hybrid event; held from 16.00 - 17.00 hrs in room ZI-4070 and via TEAMS.
Feel free to reach out if you want to present your work in an upcoming session!
Send us an email!
The MaPhS organizers,
Maike de Jongh, Patryk Rygiel and Lars Schroeder
upcoming dates:
2026:
- 25 March 2026
Speaker: Victor Ploeg
Title: When pandemic allocation meets regular care: stability analysis of a multi-hospital regular care queueing network via fluid limits
Abstract: Pandemic patient-allocation strategies usually aim to balance the load of pandemic patients across hospitals. The impact that this prioritization of pandemic patients has on regular non-pandemic patients, however, is often overlooked during crises and remains insufficiently understood for that reason. I present work that develops a fluid limit framework capturing the long-term interaction between pandemic patient allocation and regular care waiting lists in a regional network of hospitals. By deriving a system of ordinary differential equations that describes the fluid-scale interaction between pandemic admissions and hospital waiting lists under a general allocation rule, we develop the tooling to assess whether such policies preserve the natural order of waiting lists, avoid oscillatory behaviour, and maintain system-wide stability. I motivate the framework using a recently proposed allocation rule designed to minimise the impact of pandemic admissions on regular-care queues. The results provide a mathematical foundation for analysing allocation mechanisms not only in pandemic preparedness, but also in broader scenarios involving healthcare strain or emergency-induced shifts in patient inflow.