A computer program was built to model a random walk that represents utilization of a limited set of items by a group of servers for  their customers. An example is the use of ventelators (items) for very sick patients (customers)  by hospitals (servers). Some hospitals amy run out of ventilators while others may have extras if a common pool of ventilators is not employed. The simulation showed a 5% improvement in one of the cases studied. A theoretical model was developed that displayed very accurate prediction of the simulation results.