In this paper,a new computation scheme based on parallelization is proposed for Isogeometric analysis.The parallel computing is introduced to the whole progress of Isogeometric analysis.Firstly,with the help of the“t...In this paper,a new computation scheme based on parallelization is proposed for Isogeometric analysis.The parallel computing is introduced to the whole progress of Isogeometric analysis.Firstly,with the help of the“tensorproduct”and“iso-parametric”feature,all the Gaussian integral points in particular element can be mapped to a global matrix using a transformation matrix that varies from element.Then the derivatives of Gauss integral points are computed in parallel,the results of which can be stored in a global matrix.And a middle layer is constructed to assemble the final stiffness matrices in parallel.The numerical example results show that:the method presented in the paper can reduce calculation time and improve the use rate of computing resources.展开更多
Nowadays,it is common for suppliers to be separated from their buyers by great distances.This means that,if some items in the lot turn out to be defective,the distance makes it uneconomical to order replacements from ...Nowadays,it is common for suppliers to be separated from their buyers by great distances.This means that,if some items in the lot turn out to be defective,the distance makes it uneconomical to order replacements from the original supplier.Moreover,both Type I and Type II errors may occur in the screening process for eliminating defective items and the combination of defective items and inspection errors may lead to shortages.Working with these assumptions,this paper develops two distinct models.Under the first model,defective items are repaired by a local repair shop subject to a repair charge and a mark-up margin.Under the second model,a local supplier replaces the defective with good ones,but at a higher cost.The expected total profit per cycle is developed,together with the expected cycle time,and,employing the renewal reward theorem,the objective function is derived,from which the optimum values are obtained for the order and shortage quantities.The paper presents numerical results and a discussion for both models.The study finds that repairing defective items generally leads to greater total profit than purchasing local replacements.展开更多
基金supported by the Natural Science Foundation of Hubei Province(CN)(Grant No.2019CFB693)the Research Foundation of the Education Department of Hubei Province(CN)(Grant No.B2019003)the open Foundation of the Key Laboratory of Metallurgical Equipment and Control of Education Ministry(CN)(Grant No.2015B14).
文摘In this paper,a new computation scheme based on parallelization is proposed for Isogeometric analysis.The parallel computing is introduced to the whole progress of Isogeometric analysis.Firstly,with the help of the“tensorproduct”and“iso-parametric”feature,all the Gaussian integral points in particular element can be mapped to a global matrix using a transformation matrix that varies from element.Then the derivatives of Gauss integral points are computed in parallel,the results of which can be stored in a global matrix.And a middle layer is constructed to assemble the final stiffness matrices in parallel.The numerical example results show that:the method presented in the paper can reduce calculation time and improve the use rate of computing resources.
文摘Nowadays,it is common for suppliers to be separated from their buyers by great distances.This means that,if some items in the lot turn out to be defective,the distance makes it uneconomical to order replacements from the original supplier.Moreover,both Type I and Type II errors may occur in the screening process for eliminating defective items and the combination of defective items and inspection errors may lead to shortages.Working with these assumptions,this paper develops two distinct models.Under the first model,defective items are repaired by a local repair shop subject to a repair charge and a mark-up margin.Under the second model,a local supplier replaces the defective with good ones,but at a higher cost.The expected total profit per cycle is developed,together with the expected cycle time,and,employing the renewal reward theorem,the objective function is derived,from which the optimum values are obtained for the order and shortage quantities.The paper presents numerical results and a discussion for both models.The study finds that repairing defective items generally leads to greater total profit than purchasing local replacements.
