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不確定隨機(jī)性庫(kù)存優(yōu)化策略研究

發(fā)布時(shí)間:2018-05-06 01:29

  本文選題:(R + Q)補(bǔ)貨策略; 參考:《中國(guó)民航大學(xué)》2017年碩士論文


【摘要】:庫(kù)存成本是企業(yè)生產(chǎn)經(jīng)營(yíng)活動(dòng)中的重要組成部分,也是庫(kù)存管理的重要內(nèi)容。傳統(tǒng)的庫(kù)存問(wèn)題通常將訂貨提前期或產(chǎn)品需求視為隨機(jī)變量,通過(guò)收集樣本數(shù)據(jù)應(yīng)用概率論方法進(jìn)行研究。然而在民航生產(chǎn)實(shí)踐中,飛機(jī)結(jié)構(gòu)件更新后由于缺乏歷史運(yùn)營(yíng)數(shù)據(jù),其分布函數(shù)無(wú)法獲得。假如用概率論來(lái)處理這種現(xiàn)象可能會(huì)得到不合理的結(jié)果。因此,本文以不確定理論為基礎(chǔ),考慮不確定環(huán)境下的庫(kù)存優(yōu)化策略具有實(shí)際意義。具體內(nèi)容可以歸納如下:第一,建立不確定提前期環(huán)境下的連續(xù)性(R,Q)庫(kù)存模型。假定需求率是一個(gè)常數(shù),訂貨提前期為一個(gè)不確定變量并且服從不確定分布,決策變量為訂貨點(diǎn)和訂貨量,以庫(kù)存系統(tǒng)平均成本最小為目標(biāo)函數(shù),建立庫(kù)存成本的數(shù)學(xué)模型。最后,進(jìn)行實(shí)例分析,得出模型的各參數(shù)對(duì)庫(kù)存成本和最優(yōu)訂貨點(diǎn)都有著顯著影響。第二,建立不確定隨機(jī)需求環(huán)境下的周期性(T,Q)庫(kù)存模型。假設(shè)某零部件在原有設(shè)備的需求為隨機(jī)變量,在新設(shè)備中該零部件的未來(lái)需求為不確定變量,在原設(shè)備和新設(shè)備中該零部件需求是相互獨(dú)立的,并且允許缺貨,給定總的需求服從機(jī)會(huì)分布,建立總利潤(rùn)最大化的數(shù)學(xué)模型,得到最優(yōu)訂貨量的解析解。最后,通過(guò)數(shù)值算例進(jìn)行具體分析,結(jié)果表明最優(yōu)訂貨量會(huì)隨著需求、貨物成本、貨物存儲(chǔ)費(fèi)用的變化而變化。
[Abstract]:Inventory cost is an important part of enterprise production and management, and also an important content of inventory management. The traditional inventory problem usually regards the lead time or product demand as random variables, and applies probability theory to research by collecting sample data. However, in the practice of civil aviation production, the distribution function of aircraft structural parts can not be obtained because of the lack of historical operation data. If we deal with this phenomenon with probability theory, we may get unreasonable results. Therefore, based on uncertainty theory and considering inventory optimization strategy in uncertain environment, this paper has practical significance. The specific contents can be summarized as follows: first, establish a continuous inventory model under uncertain lead time environment. Assuming that the demand rate is a constant, the lead time of order is an uncertain variable and the distribution of service is uncertain, the decision variable is order point and order quantity, and the minimum average cost of inventory system is taken as the objective function, the mathematical model of inventory cost is established. Finally, a case study shows that the parameters of the model have a significant impact on the inventory cost and the optimal ordering point. Secondly, the periodic TQs inventory model under the uncertain stochastic demand environment is established. Assuming that the demand for a component in the original equipment is a random variable, that the future demand for the component is an uncertain variable in the new equipment, that the demand for the component in the original equipment and the new equipment is independent of each other, and that the stock is allowed to be out of stock. Given the total demand service from the opportunity distribution, the mathematical model of maximizing the total profit is established, and the analytical solution of the optimal order quantity is obtained. Finally, through numerical examples, the results show that the optimal order quantity will vary with the demand, the cost of goods, and the cost of goods storage.
【學(xué)位授予單位】:中國(guó)民航大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:F274;O227

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