Banach空间中严格拟伪压缩映像族公共不动点的迭代算法

根据Banach空间中严格拟伪压缩映像不动点的迭代格式,将其扩充到无穷多个严格拟伪压缩映像族公共不动点的迭代算法,证明其强收敛定理,扩展了已知的相关结果．     

二元Edwards曲线的半分算法

利用二元Edwards曲线加法公式的对称性得到可做半分的公式.在推导半分算法过程中曲线参数有两种情况:d1≠d2和d1=d2.当曲线参数d1≠d2时,利用和Weierstrass曲线的双有理等价关系、迹函数和半迹函数,得到了Edwards曲线的半分算法.而当曲线参数d1=d2时,给出了定理证明,虽然在这种情况下倍加公式更简单,但半分算法反而更复杂.进一步分析了半分算法的效率,指出虽然在二元Edwards曲线上可以进行半分运算,但目前半分算法的效率仍然比不上倍加方法.利用ω一坐标简化半分算法并应用在标量乘计算上.     

过航点舰载弹炮结合武器系统发射判定模型

针对基于过航点对弹炮结合武器系统进行火力分配中未求解过航点坐标和未考虑毁伤概率等因素,以及基于勾径点模型对弹炮结合武器进行火力分配方法过于简化、未充分考虑武器系统火力防区对弹炮发射判定的影响等问题,建立基于过航点的弹炮发射判定模型,提出了基于过航点的弹炮结合武器发射判定问题的解决方案,经仿真分析,与上两种算法对比,具有一定的改进。     

基于GP的计划生成方法

针对计划生成的计算复杂性和传统遗传算法在求解组合问题时的低效率,结合任务策略提出了一种基于遗传程序设计的计划生成方法。利用业务活动域的任务策略知识来指导遗传操作,减少了完全随机遗传操作造成的无效操作,并且在进化过程中使高阶模式和低阶模式获得共同的进化机会,提高了遗传算法的效率。     

农业面源污染控制的土壤生物热力学方法论

随着农业的发展,农业面源污染问题日益突出,农业面源污染已成为危害生态 环境的最重要的因子。在简要分析了农业面源污染的成因和目前农业面源污染研究情况的 基础上,对土壤生物热力学在农业面源控制上的应用机理进行了具体的阐述,结果表明土壤 生物热力学在指导农业生产过程中充盈着清洁生产理念,为农业面源污染控制提供了理论 基础和科学方法。     

Robust capacity planning in semiconductor manufacturing

We present a stochastic programming approach to capacity planning under demand uncertainty in semiconductor manufacturing. Given multiple demand scenarios together with associated probabilities, our aim is to identify a set of tools that is a good compromise for all these scenarios. More precisely, we formulate a mixed‐integer program in which expected value of the unmet demand is minimized subject to capacity and budget constraints. This is a difficult two‐stage stochastic mixed‐integer program which cannot be solved to optimality in a reasonable amount of time. We instead propose a heuristic that can produce near‐optimal solutions. Our heuristic strengthens the linear programming relaxation of the formulation with cutting planes and performs limited enumeration. Analyses of the results in some real‐life situations are also presented. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

A combination of Lagrangian relaxation and column generation for order batching in steelmaking and continuous‐casting production

This article considers the order batching problem in steelmaking and continuous‐casting production. The problem is to jointly specify the slabs needed to satisfy each customer order and group all the slabs of different customer orders into production batches. A novel mixed integer programming model is formulated for the problem. Through relaxing the order assignment constraints, a Lagrangian relaxation model is then obtained. By exploiting the relationship between Lagrangian relaxation and column generation, we develop a combined algorithm that contains nested double loops. At the inner loop, the subgradient method is applied for approximating the Lagrangian dual problem and pricing out columns of the master problem corresponding to the linear dual form of the Lagrangian dual problem. At the outer loop, column generation is employed to solve the master problem exactly and adjust Lagrangian multipliers. Computational experiments are carried out using real data collected from a large steel company, as well as on large‐scaled problem instances randomly generated. The results demonstrate that the combined algorithm can obtain tighter lower bound and higher quality solution within an acceptable computation time as compared to the conventional Lagrangian relaxation algorithm. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Fashion products with asymmetric sales horizons

In this study, we explore an inventory model for a wholesaler who sells a fashion product through two channels with asymmetric sales horizons. The wholesaler can improve profitability by employing joint procurement and inventory reallocation as a recourse action in response to the dynamics of sales. In this research, a simple stochastic programming model is analyzed to specify the properties of the optimal inventory decisions. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

吸毒人口趋势的定量研究

通过＂S＂形曲线建立了某地区吸毒人数的预测与控制模型,模型预测了该地区的注册吸毒人口总数,并且根据模型分析找到了控制吸毒人数增长的时间段,最后结合实际给禁毒部门提出了若干建议。     

2-一致光滑Banach空间中k-严格伪压缩半群公共不动点的隐格式迭代算法

对于Banach空间中女一严格伪压缩半群的公共不动点给出了隐格式迭代算法,证明了一个强收敛定理,推广并扩展了相关结论。