Resource absorption in a health service system

This paper considers the use of treatment resources in a health service system. The particular aspect of system use which is identified is resource absorption - excessive use by a small subset of users and unmet need by others. A dynamic stochastic model for health status with treatment interventions is formulated and the distribution of accumulated treatment time (service) is developed. The characterization of heavy tails in the distribution, the essential feature of resource absorption, is based on the Lorenz curve and an Index of Resource Absorption is defined for any feasible Lorenz curve. The index is applied to the use of psychiatric hospital resources in a Province of Canada.