Capacitated multiple allocation hub location problem which allows direct flow between nodes [Dügümler arasinda direkt gidişe müsaade eden kapasite kisitli,çok atamali ana dagitim üssü yer seçim problemi]

Hubs are special facilities that serve as switching,transshipment and sorting points in many-to-many distribution systems. in hub location problems,transfers between origin-destination points do not take place directly between each other,but by means of hubs for the purpose of taking advantages of economies of scale. thus,it becomes possible to provide connections to more points with less lines and costs. in this study,a real hub location problem is studied for a public institution. on the basis of the institutions' demands and the problems' requirements,a new dimension has been provided to the capacitated multiple allocation hub location problems which have significance in the literature. unlike the studies conducted in the literature,obligation to use hubs among the origin-destination pairs that are unselected hub is relaxed and the capacities of nodes that are selected as hubs are provided to be affected by the flows both from the hubs and the spokes.