随机变动环境下资源管理的大型超市模型研究

发布时间：2018-04-11 07:00

本文选题：超市模型 + 耦合分析方法　；参考：《燕山大学》2014年硕士论文

【摘要】：随着云计算及云制造技术的广泛应用，大数据时代的迅猛发展，大型网络资源管理及调配成为现阶段关注的重点。随机变动马尔可夫环境下的超市模型是解决大型网络资源管理的一种最通用最有效的数学方法。首先，针对随机变动环境下的大型网络资源管理问题，本文构建了随机变动环境下的超市模型，建立了无穷维系统的微分向量方程组；运用算子半群计算马尔可夫过程序列的极限，提供了证明方程组唯一全局解的方法；运用耦合分析方法详细论述了系统稳定性关系；提供一个有效计算无穷维系统极限微分方程组固定点的矩阵分析方法。其次，本文还对维修资源整合下的超市模型进行了平均场方程组构建，，指出了其无穷维系统微分方程组的固定点的求解方法和思路。同时，分析了优化选择对维修资源管理模型构建产生的影响。再次，以秦皇岛煤炭港口为实例，结合随机变动环境和维修资源整合的超市模型的固定点相关结论，定量分析了模型参数对港口平均等待队长和船舶在港口内的平均逗留时间的影响。得到提高港口维修资源管理效率的主要途径是提高泊位内装卸设备的服务效率，改善维修资源整合的服务机制。随机变动环境下超市模型的建立，对处理计算机应用、供应链管理、交通运输策略、制造服务等领域的资源管理问题提供了坚实的理论基础，在实际生活中有重要的应用前景。
[Abstract]:With the wide application of cloud computing and cloud manufacturing technology and the rapid development of big data era, the management and allocation of large-scale network resources has become the focus of attention at this stage.The supermarket model under random Markov environment is the most common and effective mathematical method to solve the problem of large-scale network resource management.First of all, aiming at the large-scale network resource management problem under the environment of random change, this paper constructs the supermarket model under the environment of random change, and sets up the differential vector equations of infinite dimensional system.The limit of Markov process sequence is calculated by means of operator semigroup, and the method of proving the unique global solution of equations is provided, and the stability relation of the system is discussed in detail by using coupling analysis method.An effective matrix analysis method for calculating fixed points of limit differential equations for infinite dimensional systems is presented.Secondly, the supermarket model under the integration of maintenance resources is constructed by the mean field equations, and the solution method and thought of the fixed point of the differential equations of the infinite dimensional system are pointed out.At the same time, the influence of optimal selection on the construction of maintenance resource management model is analyzed.Thirdly, taking Qinhuangdao coal port as an example, combined with the fixed point related conclusion of the supermarket model of the integration of random changing environment and maintenance resources,The effects of the model parameters on the average waiting captain and the average stay time of the ship in the port are quantitatively analyzed.The main way to improve the efficiency of port maintenance resource management is to improve the service efficiency of loading and unloading equipment in berth and to improve the service mechanism of maintenance resource integration.The establishment of supermarket model under random changing environment provides a solid theoretical basis for dealing with the resource management problems in the fields of computer application, supply chain management, transportation strategy, manufacturing service and so on, and has an important application prospect in real life.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：F426.21;F552;F224

【参考文献】