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考虑随机运能和送到时限的高铁快递运输计划优化方法
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作者 徐光明 郭婧 +1 位作者 陈婉茹 秦进 《控制与决策》 EI CSCD 北大核心 2024年第8期2755-2764,共10页
为充分利用高铁非高峰期的列车运能,高铁快运已成为铁路快捷货运发展新趋势.然而,受客运需求波动影响,载客动车组可用于高铁快递的运能呈现高度不确定性,给日常运营组织带来巨大挑战.为增强高铁快运系统应对随机运能的能力,提出一种考... 为充分利用高铁非高峰期的列车运能,高铁快运已成为铁路快捷货运发展新趋势.然而,受客运需求波动影响,载客动车组可用于高铁快递的运能呈现高度不确定性,给日常运营组织带来巨大挑战.为增强高铁快运系统应对随机运能的能力,提出一种考虑随机运能的高铁快递运输计划优化方法.首先,采用离散场景刻画列车运能的不确定性,以最大化高铁快运期望总收益为目标,综合考虑快递的送到时限和运营约束,针对场景概率分布精确已知情形,构建两阶段随机规划模型(SP);然后,进一步考虑场景概率分布信息部分已知情形,构建两阶段分布鲁棒优化模型(DRO),基于盒式模糊集,借助对偶理论将DRO模型转化为等价的整数线性规划模型并利用GUROBI求解;最后,基于宁杭高铁设计数值实验验证模型的有效性,结果表明,相较于SP模型,DRO模型体现出较强的鲁棒性,只需付出较小的代价即可有效抵抗运能波动对运输计划的影响,并且能够改善最坏情形下解的质量,切实改善高铁快递实际运营中的稳定性. 展开更多
关键词 高铁快递 运输计划 送到时限 随机运能 分布鲁棒优化 整数线性规划
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STOCHASTIC MODEL OF PERIODIC OPERATION PERFORMANCE FOR THE CONTINUOUS COUNTER-CURRENT ADSORPTION PROCESS
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作者 Sun Shuyu Niu Wengtai Jiang Zhixin 《Chinese Journal of Reactive Polymers》 1995年第1期8-19,共12页
A stochastic model is developed to predict the peniodic operation performance ofthe continuous counter-current adsorption process. The model takes into account theeffects of random backmixing of particles, axial dispe... A stochastic model is developed to predict the peniodic operation performance ofthe continuous counter-current adsorption process. The model takes into account theeffects of random backmixing of particles, axial dispersion of liquid phase, liquid- film mass transfer, intraparticle diffusion and panticle shape, and can revealclearly the behavior of solid and liquid phase in adsorption process. The simulation results agree with the experimental data rather well. 展开更多
关键词 Periodic operation Adsorption process Stochastic model Simulation
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The Cocycle Property of Stochastic Differential Equations Driven by G-Brownian Motion 被引量:1
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作者 Huijie QIAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2015年第1期147-160,共14页
In this paper,solutions of the following non-Lipschitz stochastic differential equations driven by G-Brownian motion:Xt=x+∫^t0b(s,w,Xs)ds+∫^t0h(s,ω,Xs)ds+∫^t0σ(s,ω,Xs)dBs are constructed.It is shown th... In this paper,solutions of the following non-Lipschitz stochastic differential equations driven by G-Brownian motion:Xt=x+∫^t0b(s,w,Xs)ds+∫^t0h(s,ω,Xs)ds+∫^t0σ(s,ω,Xs)dBs are constructed.It is shown that they have the cocycle property.Moreover,under some special non-Lipschitz conditions,they are bi-continuous with respect to t,x. 展开更多
关键词 Cocycle property Non-Lipschitz condition SDEs driven by G-Brownian motion
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