Developing a Mixed Integer Quadratic Programing Model with Integer Numbers for Designing a Dynamic closed-loop Logistics Network

Logistics Network Design includes network configuration decisions having long-standing influences on other tactical and operational decisions. Recently, regarding environmental issues and customer awareness and global warming closed-loop supply chain network design is taken into consideration. The proposed network for the integrated forward and reverse logistics is developed by formulating a cyclic logistics network problem which decisions for selecting the places of manufactories, distribution centers, dismantlers and disposal centers with the respective operating units were supported with the maximizing the profit. Moreover, the palaces of suppliers and customer zone are predefined in this model. Therefore, this paper presents a mixed integer quadratic programing for a dynamic multi-period multi-products closed-loop logistics network. The possibility of opening and closing of each facility at each period and expanding the capacities of facilities is the main feature of the proposed model. After model formulation, the credibility and the performance evaluation are investigated by numerical examples.