本文選題：超市模型 + 耦合分析方法��； 參考：《燕山大學》2014年碩士論文

【摘要】：隨著云計算及云制造技術(shù)的廣泛應(yīng)用，大數(shù)據(jù)時代的迅猛發(fā)展，大型網(wǎng)絡(luò)資源管理及調(diào)配成為現(xiàn)階段關(guān)注的重點。隨機變動馬爾可夫環(huán)境下的超市模型是解決大型網(wǎng)絡(luò)資源管理的一種最通用最有效的數(shù)學方法。 首先，針對隨機變動環(huán)境下的大型網(wǎng)絡(luò)資源管理問題，本文構(gòu)建了隨機變動環(huán)境下的超市模型，建立了無窮維系統(tǒng)的微分向量方程組；運用算子半群計算馬爾可夫過程序列的極限，提供了證明方程組唯一全局解的方法；運用耦合分析方法詳細論述了系統(tǒng)穩(wěn)定性關(guān)系；提供一個有效計算無窮維系統(tǒng)極限微分方程組固定點的矩陣分析方法。 其次，本文還對維修資源整合下的超市模型進行了平均場方程組構(gòu)建，，指出了其無窮維系統(tǒng)微分方程組的固定點的求解方法和思路。同時，分析了優(yōu)化選擇對維修資源管理模型構(gòu)建產(chǎn)生的影響。 再次，以秦皇島煤炭港口為實例，結(jié)合隨機變動環(huán)境和維修資源整合的超市模型的固定點相關(guān)結(jié)論，定量分析了模型參數(shù)對港口平均等待隊長和船舶在港口內(nèi)的平均逗留時間的影響。得到提高港口維修資源管理效率的主要途徑是提高泊位內(nèi)裝卸設(shè)備的服務(wù)效率，改善維修資源整合的服務(wù)機制。 隨機變動環(huán)境下超市模型的建立，對處理計算機應(yīng)用、供應(yīng)鏈管理、交通運輸策略、制造服務(wù)等領(lǐng)域的資源管理問題提供了堅實的理論基礎(chǔ)，在實際生活中有重要的應(yīng)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.
【學位授予單位】：燕山大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：F426.21;F552;F224

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本文編號：1734914