A network model for minimizing the total organ transplant costs

摘要

Highlights?The optimality conditions for the national health service are determined.?The variational inequality formulation is derived.?The Lagrange theory related to the model is studied.?The Lagrange multipliers are analyzed.?Some numerical examples are presented.AbstractNowadays, many organs such as kidney, liver, pancreas, intestine, heart, as well as lungs, can be safely transplanted. Sometimes organ transplantation is the only possible therapy, for instance for patients with end-stage liver diseases, and the preferred treatment, for instance for patients with end-stage renal diseases. As a consequence, the demand of organs has greatly exceeded the offer and has become a key tool to cure diseases. In many countries the costs to receive an organ,