引用本文:丁然,李歧强,孙同景,杨加敏.考虑鲁棒性的生产调度期望值模型[J].控制理论与应用,2006,23(5):819~822.[点击复制]
DING Ran, LI Qi-qiang, SUN Tong-jing, YANG Jia-min .Expected value model of production schedule by considering robustness constraints[J].Control Theory and Technology,2006,23(5):819~822.[点击复制]
考虑鲁棒性的生产调度期望值模型
Expected value model of production schedule by considering robustness constraints
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DOI编号  10.7641/j.issn.1000-8152.2006.5.030
  2006,23(5):819-822
中文关键词  生产调度  鲁棒性  随机规划  期望值  机会约束规划
英文关键词  production scheduling  robustness  stochastic programming  expected value  chance constraints programming
基金项目  山东省自然科学基金资助项目(Y2003G01).
作者单位
丁然,李歧强,孙同景,杨加敏 山东大学控制科学与工程学院,山东济南250061 
中文摘要
      对于含有随机因素的生产调度过程,期望值模型不能保证调度的鲁棒性.本文借鉴机会约束规划思想,根据随机参数概率分布的两种不同情况,提出了使期望值模型可行解满足鲁棒性能指标的充分条件,并据此构造了鲁棒性约束,使解空间收缩,提高模型的鲁棒性.仿真实验结果表明该模型在解决调度鲁棒性的问题方面是有效的.
英文摘要
      Stochastic phenomenon is prevalent in production processes, but expected value model cannot ensure the robustness. Based on the chance constraints programming, the sufficient conditions according to two different kind of probability distribution of the stochastic parameters are proposed and proved in this paper, under which the feasible solutions can satisfy the robust index. The robustness constraints are then constructed to contract the feasible region and improve the robustness of expected value model. Finally, the simulation results illustrate the validity of the improved model.