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In the ship hull optimization design based on simulation-based design (SBD) technology,low precision of the approximate model leads to an uncertainty form of optimization model.In order to enable the approximate model with finite precision to maximize the effectiveness,uncertainty optimization method is introduced here.Wave resistance coefficient approximation model,built by back propagation (BP) neural network,is represented as a form of interval.Afterwards,a minimum resistance optimization model is established with the design space constituted by principal dimensions and ship form coefficients.Double-level nested optimization architecture is proposed:for outer layer,improved particle swarm optimization (IPSO) algorithm with leing factor improvement strategy is used to generate design variables,and for inner layer,modified very fast simulated annealing (MVFSA) algorithm is used to solve the objective function interval with uncertainty region.Cases calculation proves the effectiveness and superiority of uncertainty optimization method for ship hull SBD optimization design,thus providing a good way for finding optimal designs.