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science China mathematics 2008年第5期51卷 864-879,881-888+880页

作者： cheng congdian TANG HengYong ZHAO ChuanLi college of mathematics and systems science Shenyang Normal UniversityShenyang 110034China

This article addresses the problem of scheduling n jobs with a common due date on a machine subject to stochastic breakdowns to minimize absolute early-tardy *** investigate the problem under the conditions that the uptimes follow an exponential distribution,and the objective measure in detail is to minimize the expected sum of the absolute deviations of completion times from the common due *** proceed to study in two versions (the downtime follows an exponential distribution or is a constant entailed for the repeat model job),one of which is the so-called preempt- resume version,the other of which is the preempt-repeat *** terms of work have been done.(i)Formulations and Preliminaries.A few of necessary definitions,relations and basic facts are *** particular,the conclusion that the expectation of the absolute deviation of the completion time about a job with deterministic processing time t from a due date is a semi-V-shape function in t has been proved.(ii) Properties of Optimal Solutions.A few characteristics of optimal solutions are *** importantly,the conclusion that optimal solutions possess semi-V- shape property has been proved.(iii) *** computing problems on searching for optimal solutions are discussed.

关键词： scheduling stochastic breakdowns due date absolute early-tardy penalty V-shape 90B36 68M20 60K37

Single machine stochastic JIT scheduling problem subject to machine breakdowns

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science China mathematics 2008年第2期51卷 273-292页

作者： TANG HengYong ZHAO ChuanLi cheng congdian college of mathematics and systems science Shenyang Normal UniversityShenyang110034China

In this paper we research the single machine stochastic JIT scheduling problem subject to the machine breakdowns for preemptive-resume and *** objective function of the problem is the sum of squared deviations of the job-expected completion times from the due *** preemptive-resume,we show that the optimal sequence of the SSDE problem is V-shaped with respect to expected processing *** a dynamic programming algorithm with the pseudopolynomial time complexity is *** discuss the difference between the SSDE problem and the ESSD problem and show that the optimal solution of the SSDE problem is a good approximate optimal solution of the ESSD problem,and the optimal solution of the SSDE problem is an optimal solution of the ESSD problem under some *** preemptive-repeat,the stochastic JIT scheduling problem has not been solved since the variances of the completion times cannot be *** replace the ESSD problem by the SSDE *** show that the optimal sequence of the SSDE problem is V-shaped with respect to the expected occupying *** a dynamic programming algorithm with the pseudopolynomial time complexity is given.A new thought is advanced for the research of the preemptive-repeat stochastic JIT scheduling problem.

关键词： stochastic JIT scheduling machine breakdowns preemptive-resume preemptive-repeat sum of squared deviations of the expected completion times from the due date 90B36 68M20

Provenance of Upper Jurassic in North Yellow Sea Basin， Eastern North China Craton

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Journal of Earth science 2024年

作者： Haitian Yu Zhongjie Xu Rihui cheng Duo Wan Dan Gao Zhen Zhang college of Earth sciences， Jilin university 2. Key Laboratory of Mineral Resources Evaluation in Northeast Asia， Ministry of Natural Resources college of Palaeontology， shenyang normal university Guangzhou Marine Geological Survey

Base on the detrital zircon U-Pb dating data， this paper discusses the provenance and constructs source-to-sink system of the Upper Jurassic in the North Yellow Sea Basin (NYSB)， Eastern North China Craton (ENCC). In addition， to avoid the bias of detrital zircon ages caused by variations in zircon fertility， we gather 1709 whole rock zirconium content values (ppm) from granitic rocks with different ages in the North China Craton (NCC). Base on mean Zr content of granitic rocks in each age， these granitic rocks can be divided into four groups: Group A consists of Jurassic， Group B consists of Paleozoic， Neo-Mesoproterozoic and Neoarchean， Group C consists of Early Cretaceous and Triassic， and Group D consists of Paleoproterozoic. This research assigns these groups zircon fertility factors (ZFF) of 1， 1.4， 1.8 and 2.2. The U-Pb age of detrital zircons from Late Jurassic sediments corrected by ZFF are statistically analyzed (K-S test， Similarity， Cross-correlation， Linkeness， Multidimensional scaling). And combining with palaeocurrent and palaeogeography， we construct two source-to-sink systems: 1) Jiaodong Uplift and Sulu Orogenic belt as the source area and the North Yellow Sea Basin as the sink area; 2) Liaodong Peninsula as the source area and the North Yellow Sea Basin as the sink area.

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一种连续性骨龄算法设计

沈阳师范大学学报（自然科学版） 2004年第4期22卷 252-255页

作者：李孝诚李忠海刘兆丽沈阳师范大学数学与系统科学学院辽宁沈阳110034 郯城第一中学山东临沂276100

在分析了已有骨龄评价方法,特别是中国人骨成熟度评价标准(CHN法)优缺点的基础上,提出了一种基于数学插值算法的新方法:首先采用插值法将中国人骨成熟度评价标准连续化,然后应用MATLAB语言实现本算法.实验结果表明,本算法有利于提高骨... 详细信息

在分析了已有骨龄评价方法,特别是中国人骨成熟度评价标准(CHN法)优缺点的基础上,提出了一种基于数学插值算法的新方法:首先采用插值法将中国人骨成熟度评价标准连续化,然后应用MATLAB语言实现本算法.实验结果表明,本算法有利于提高骨龄的计算精度和速度,减少人为评价误差对骨成熟度评价结果的影响.对促进骨龄自动评价系统的实现具有很大的推动作用.

关键词：骨龄插值算法骨成熟度 CHN法

Multiple Jacobi Elliptic Function Solutions to Integrable Higher Order Broer-Kaup Equation in （2＋1）-Dimensional Spaces

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Communications in Theoretical Physics 2006年第2X期46卷 193-198页

作者： LI De-Sheng LUO cheng-Xin college of mathematics and systems science Shenyang Normal University Shenyang 110034 China

In this paper, we improve the method for deriving Jacobi elliptic function solutions of nonlinear evolution equations given in Ref. [12] and apply it to the integrable higher-order Broer-Kaup system in （2＋1）-dimens... 详细信息

关键词： Jacobi elliptic function projective Riccati equation higher-order Broer-Kaup system exact solutions

An Approach to Find the Point of Buying Stock Based on Big Data

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Journal of Business Administration Research 2020年第2期3卷 38-42页

作者： Yao Fu congdian cheng Lizhu Wang college of mathematics and systems science Shenyang Normal UniversityShenyang110034China

It is a research subject that has attracted a wide concern and study for a long time to find a suitable trading point of *** the views of big data and quantization technique,the paper tries to propose an approach,through the form of algorithm,based on big data analysis and linear weighted moving average curve,to find the point of buying stock,so that the trader would like to achieve the expected profit with a higher probability;and makes the digital experiment to further explain the approach and verify its *** work can promote the development of big data research and quantization technique,and can also provide a certain reference method for the trader making the technology analysis of the trade.

关键词： Stock Big data Weighted moving average Algorithm profit

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基于一种炒股行为生成的随机变量与分布估计

沈阳师范大学学报（自然科学版） 2017年第2期35卷 161-165页

作者：程丛电马晶鑫沈阳师范大学数学与系统科学学院沈阳110034

从大数据、机器学习和行为金融学的角度出发,通过设计一个算法定义了一个表现按照某种初级炒股行为买卖一支股票的收益状况的随机变量R,并进行有关研究。基于这支股票的一定的折现历史数据运用所设计的算法求出R的一个样本;根据该样本做... 详细信息

从大数据、机器学习和行为金融学的角度出发,通过设计一个算法定义了一个表现按照某种初级炒股行为买卖一支股票的收益状况的随机变量R,并进行有关研究。基于这支股票的一定的折现历史数据运用所设计的算法求出R的一个样本;根据该样本做出R的一个经验分布;再根据该经验分布建立关于R的近似解析分布的一个序,并进而给出一种求优化近似解析分布的方法。基于R的生成方式及相关探讨展示它的意义,并揭示出一些值得进一步研究的问题。所做工作可为炒股提供一定的启示,可为从大数据、机器学习和行为金融学的角度出发进一步研究股市提供一定的启示。

关键词：股市大数据行为金融学随机变量分布估计

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色彩子空间中绘景解析

沈阳师范大学学报（自然科学版） 2017年第2期35卷 204-207页

作者：张辉程丛电罗兆麟沈阳师范大学物理科学与技术学院沈阳110034 沈阳师范大学数学与系统科学学院沈阳110034 沈阳师范大学戏剧艺术学院沈阳110034

在多维时空载体基础上,依照色彩学、美术学和光谱学等理论,分别构置(加色)色彩子空间(R,G,B)和(减色)色彩子空间(C,M,Y),讨论了不同色彩子空间(C,M,Y)和(R,G,B)的关联性、差异性和互补性,通过实例总结出若干新的结论。色彩子空间中的点... 详细信息

在多维时空载体基础上,依照色彩学、美术学和光谱学等理论,分别构置(加色)色彩子空间(R,G,B)和(减色)色彩子空间(C,M,Y),讨论了不同色彩子空间(C,M,Y)和(R,G,B)的关联性、差异性和互补性,通过实例总结出若干新的结论。色彩子空间中的点、线、面、体构成了色彩新绘景,对这些新绘景进行了理论性分析,指出代表点在(R、G、B)子空间中的密集变化可能会留下一个高次曲面或体积,这是复杂体系色彩复杂变化的过程。对于不同子空间中的绘景相互映射,给出色彩空间中色彩变化的全景描绘。当考虑时间因子T时,(T,R,G,B)就构成四维坐标体系,则体系中全部色彩绘景将随时间的变化而变化,即形成有真实动感的色彩体系。

关键词：色彩子空间减色法原理绘景分布映射技术光波解析

单调偏序模度量空间上收缩多值映射的端点（英文）

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沈阳师范大学学报（自然科学版） 2019年第6期37卷 499-505页

作者：程丛电徐崤笑关洪岩沈阳师范大学数学与系统科学学院

不动点理论是一个十分有趣和有益的问题,有着广泛的的应用价值与深刻的理论价值。该领域主要研究各种空间中的各种映射的不动点的存在性、唯一性及其求解方法。端点问题是不动点理论中的一项新的研究内容。Huang和Zhang于2007年首次引... 详细信息

不动点理论是一个十分有趣和有益的问题,有着广泛的的应用价值与深刻的理论价值。该领域主要研究各种空间中的各种映射的不动点的存在性、唯一性及其求解方法。端点问题是不动点理论中的一项新的研究内容。Huang和Zhang于2007年首次引入锥度量空间,并研究其上的压缩映射的不动点问题,发展了几个不动点定理。近年来,发展各种空间并研究其上各种映射的不动点问题激发了许多学者的热情。引入关于具有单调律的偏序模的度量空间与相关序列收敛性,扩展了Huang和Zhang于2007年引入的锥度量空间与相关序列的收敛性;建立了3个关于该空间上的收缩多值映射的端点定理。这些研究不仅丰富了不动点领域的研究内容与研究深度,还促进了分析学与代数学的互相融和。

关键词：端点度量空间偏序模单调律拓扑结构多值映射