Fuzzy optimization of spare parts supply system for production divisions of hub-forming airline airport network

The optimal design problem of a spare parts supply system for airports baggage handling systems is considered. It is assumed that the considered group of airports is equipped with baggage systems of one manufacturer, which plans to supply them with spare parts during the operational phase. One of the airports in the group is intended to serve as a passenger transfer hub for a hub-forming airline, which plans to organize mass transfer transportations between the airports in the group. It is proposed to create a layered system of spare parts provision, which provides for the availability of warehouses at the manufacturer's, hub airport and other (peripheral) airports, and to use a combined strategy of spare parts supplies, which implies periodic supplies from the manufacturer's warehouse to airport warehouses, prompt supplies from the hub warehouse to peripheral airport warehouses and, in case of shortage, urgent supplies to the hub airport's warehouse. The aim is to determine the volume of spare parts periodic deliveries optimal by criterion of minimum costs of production, storage and stock replenishment. Part of the initial data is not fully defined, which corresponds to the design phase of the system, and is given in the form of fuzzy numbers. The results of the model examples testify to the validity of the considered statement of the problem and the effectiveness of the proposed spare parts supply system.