当采用传统的全显式算法对高度非线性的弹塑性本构模型进行数值实现过程中,存在计算效率低、误差积累、精度较低的缺点.为提高计算效率和改善计算精度,采用四阶的Dormand and Prince Runge-Kutta法代替传统的全显式算法中的向前Euler法...当采用传统的全显式算法对高度非线性的弹塑性本构模型进行数值实现过程中,存在计算效率低、误差积累、精度较低的缺点.为提高计算效率和改善计算精度,采用四阶的Dormand and Prince Runge-Kutta法代替传统的全显式算法中的向前Euler法,并结合切平面算法形成了改进显式算法.以考虑土体结构性的SANICLAY模型为例,对传统的全显式算法、改进显式算法和隐式算法在计算收敛性、效率和精度方面进行对比.将改进显式算法用于隧道开挖工程多单元计算中.结果表明,与隐式算法相比,传统的全显式算法的计算精度和计算效率均比较低,改进显式算法计算效率和计算精度均比传统的全显式算法高很多.展开更多
In order to apply overbooking idea in Chinese railway freight industry to improve revenue, a Markov decision process(dynamic programming) model for railway freight reservation was formulated and the overbooking limit ...In order to apply overbooking idea in Chinese railway freight industry to improve revenue, a Markov decision process(dynamic programming) model for railway freight reservation was formulated and the overbooking limit level was proposed as a control policy. However, computing the dynamic programming treatment needs six nested loops and this will be burdensome for real-world problems. To break through the calculation limit, the properties of value function were analyzed and the overbooking protection level was proposed to reduce the calculating quantity. The simulation experiments show that the overbooking protection level for the lower-fare class is higher than that for the higher-fare class, so the overbooking strategy is nested by fare class. Besides, by analyzing the influence on the overbooking strategy of freight arrival probability and cancellation probability, the proposed approach is efficient and also has a good application prospect in reality. Also, compared with the existing reservation(FCFS), the overbooking strategy performs better in the fields of vacancy reduction and revenue improvement.展开更多
文摘当采用传统的全显式算法对高度非线性的弹塑性本构模型进行数值实现过程中,存在计算效率低、误差积累、精度较低的缺点.为提高计算效率和改善计算精度,采用四阶的Dormand and Prince Runge-Kutta法代替传统的全显式算法中的向前Euler法,并结合切平面算法形成了改进显式算法.以考虑土体结构性的SANICLAY模型为例,对传统的全显式算法、改进显式算法和隐式算法在计算收敛性、效率和精度方面进行对比.将改进显式算法用于隧道开挖工程多单元计算中.结果表明,与隐式算法相比,传统的全显式算法的计算精度和计算效率均比较低,改进显式算法计算效率和计算精度均比传统的全显式算法高很多.
基金Project(2010QZZD021)supported by the Fundamental Research Funds for the Central Universities,ChinaProject(2015F024)supported by China Railway Science and Technology Research Development Program
文摘In order to apply overbooking idea in Chinese railway freight industry to improve revenue, a Markov decision process(dynamic programming) model for railway freight reservation was formulated and the overbooking limit level was proposed as a control policy. However, computing the dynamic programming treatment needs six nested loops and this will be burdensome for real-world problems. To break through the calculation limit, the properties of value function were analyzed and the overbooking protection level was proposed to reduce the calculating quantity. The simulation experiments show that the overbooking protection level for the lower-fare class is higher than that for the higher-fare class, so the overbooking strategy is nested by fare class. Besides, by analyzing the influence on the overbooking strategy of freight arrival probability and cancellation probability, the proposed approach is efficient and also has a good application prospect in reality. Also, compared with the existing reservation(FCFS), the overbooking strategy performs better in the fields of vacancy reduction and revenue improvement.
