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Design and optimization of logistics is very important issue, which plans, implements and controls the efficient, effective forward and reverse flow and storage of goods, services and related information between the point of origin and the point of consumption in order to meet customers’ requirements. In this paper, we formulate an integrated multistage logistics network model with considering the direct shipment and direct delivery of logistics and inventory. In addition, we propose an effective hybrid evolutionary algorithm (hEA) to solve this problem: (1) we employ an extended priority-based encoding method, (2) combine a local search (LS) technique and (3) proposed a new fuzzy logic control (FLC) to enhance the search ability of EA. Finally, numerical analysis of case study is carried out to show the effectiveness of the proposed approach.