【正文】 了一個新變量 1?nx ，其對應(yīng)的價值系數(shù)為 1?nc ，在新的約束矩陣中對應(yīng)的系數(shù)列向量為1?nP，于是得到如下新的線性規(guī)劃問題：??????????????0,0..m a x11111nnnnnxXbxPAXtsxcCXZ ；增加一個約束，不妨假設(shè)此附加的約束條件為不等式形式，即 11 ?? ? mm bXa ，其中 1?ma 是 n 維行向量， 1?mb 為右端項系數(shù)，于是新的線性規(guī)劃模型變?yōu)???????????0..max11XbXabAXtsCXZmm。 模型假設(shè) 假設(shè) 1： A， B， C 每公斤的獲利與它們各自產(chǎn)量無關(guān)； 假設(shè) 2： A， B， C 每公斤的獲利與它們相互間產(chǎn)量無關(guān)； 假設(shè) 3：加工 A， B， C 的黃豆的重 量可以是任意實數(shù)。綜上，若每公斤 C 的獲利增加到 14 元，則 3x 系數(shù)變?yōu)?14*4=56，在允許范圍內(nèi)，所以不應(yīng)改變生產(chǎn)計劃。把一個問題劃分成若干個相互聯(lián)系的階段，選取其最優(yōu)策略，這類問題就是多階段決策問題。此外， 雖然動態(tài)規(guī)劃主要用于求解以時間劃分階段的動態(tài)過程的優(yōu)化問題，但是一些與時間無關(guān)的靜態(tài)規(guī)劃 (如線性規(guī)劃、 非線性規(guī)劃 )，只要人為地引進(jìn)時間因素，把它視為多階段決策過程，也可以用動態(tài)規(guī)劃方法方便地求解 。 模型建立 ??????????? ???1,2,30)()}(),({m a x)(4411)(kxfxfuxVxf kkkkkxUukk kkk 模型求解 算法描述 根據(jù)以上的模型，可設(shè)計解資源分配問題的動態(tài)規(guī)劃算法 [2,6]maxprofit 如下： public static void maxprofit(int n,int m,int [][]v,int [][]p) { //該 maxprofit 函數(shù)主要得到問題的最優(yōu)值，即資源分配問題的總盈利 //n:設(shè)備數(shù)量 。 for (int i=1。i++) for(int k=0。j=m。 (4)、寫出狀態(tài)轉(zhuǎn)移方程，即給出從第 k 階段到第 k+1 階段的狀態(tài)轉(zhuǎn)移規(guī)律：),(1 kkkk uxTx ?? 。此外，動態(tài)規(guī)劃得到的是全過程和所有后部子過程的各個狀態(tài)的最優(yōu)解，這在討論最優(yōu)決策和最優(yōu)值對于狀態(tài)的穩(wěn)定性，或者實際問 題要尋找次優(yōu)解時是很有用的。而最優(yōu)化方法 主要運(yùn)用 數(shù)學(xué)方法 研 究各種系統(tǒng)的優(yōu)化途徑及方案，為決策者提供科學(xué)決策的依據(jù)，必定成為生活中資源配置方面的一個重要使用工具。不管是適用于資源有限的線性規(guī)劃模型，還是適用于多階段資源配置的動態(tài)規(guī)劃模型，都可以體現(xiàn)出最優(yōu)化方法提供了生活上合理配置資源十分重要的參考，并從數(shù)據(jù)上給予人們做出決策提供關(guān)鍵的支持。 第三， 由于研究經(jīng)驗不足以及實際處理能力還不夠強(qiáng)，論文中所選取的例子在各方面處理上離實踐仍有偏差，這則表明選取的例子還沒能真正與實踐結(jié)合，也不夠完善。 20 a 您好，為你提供優(yōu)秀的畢業(yè)論文參考資料，請您刪除以下內(nèi)容， O(∩_∩)O 謝謝?。?！A national survey was recently launched to evaluate the eye health of Chinese children June 6, China39。s health. Poor technique harms the muscles and skeleton, and can cause secondary injures. And, jogging in a bad environment can cause circulation problems, said Lu Zhiyong, attending doctor, Sports Hospital, General Admin. of . Lu has some tips for joggers, and those who are thinking of taking it says people sh ould first evaluate their physical condition, to decide the amount and type of exercise, and jogging in the open air is better running on a treadmill. Conrad Macao will run special programs for the entire month of October this year to support the Hong Kong Cancer Fund39。s longtime executive chef embraces mapo tofu and other exotic elements for the burgerdriven menu, Liu Zhihua the age of 37, Shanghai native Lin Zhengu has bee a star as a Western cuisine chef in the Chinese metropolis, a city that has a wealth of Western restaurants. The executive chef of Blue Frog Bar and Grill, a popular burgerbased restaurant and bar chain on the Chinese mainland, Lin is the soul of the restaurant franchise39。s most popular dishes are his brainchild. Lin says his secret of success is innovation rooted in experience: He spends months every year traveling and eating worldwide, seeking new ingredients and inspirations that could improve the offerings of Blue Frog restaurants. The restaurant chain regularly launches a new seasonal menu, usually featuring eight new dishes with fresh ingredients. The bestselling seasonal dishes later replace the least popular items on the regular menu, which is usually updated in late fall and boasts a selection of about 40 dishes. Food should have no boundaries, Lin says. As long as the food tastes good and is healthy, it doesn39。t conducive to raising a child. She planned to have children once she had achieved career success so she could provide a stable environment for her baby. After 10 years, Xiao felt the time was right, and she tried to conceive for about six months, but was unable to bee pregnant. I conducted prehensive physical checkups. The results suggested that Xiao39。s digitized society, will also be attached on the report.Myopia is not only a disease that makes people see things blurrily, but also leads to severeplications, such as glaua (increased pressure within the eyeball), and can causeblindness, said Zhou Yuehua, an established eye care specialist with Beijing TongrenHospital.It is very important for parents and children to know about the risk and care for their eyes.There are about 450 million myopia patients in China. Among Chinese myopia patients,30million are severe patients, according to ZhouThe prevalence of myopia among high school and college students is more than 70 percent,and the situation is continuously worsening, he Zhu, director with the China Youth Development Service Center, said long hours ofstudy, lack of exercise, especially outdoor activities, and attachment to electronic screen aresome of the top reasons behind the widespread myopia problems, and the increase ofyounger patients, although China has made great progress in improving the hardwarefacilities and lighting conditions in said he hopes the survey will alert people on the threatening situation, and also helpmedical experts to better guideline parents and children39。論文只能對于實踐有著一定的參考性，但若要成為實踐中直接引用的方案，還是遠(yuǎn)遠(yuǎn)不夠的。 另外，以下幾個問題還需要以后進(jìn) 一步研究探討 : 第一，線性規(guī)劃是指從各種限制條件的組合中，選擇出最為合理的計算方法，建立線性規(guī)劃模型從而求得最佳結(jié)果。主要探討了資源的影子價格如何直接關(guān)系到資源的最有效利用，提高經(jīng)濟(jì)效益，以及研究了線性規(guī)劃模型中的數(shù)據(jù)集合的波動對最優(yōu)解或最優(yōu)基的影響。 缺點：沒有統(tǒng)一標(biāo)準(zhǔn)模型可供采用，也沒有萬能的構(gòu)造模型的方法。 (6)、寫出動態(tài)規(guī)劃函數(shù)基本方程。 k=kp[k][j]。k++) { if(f[i][j]f[ik][j+1]+v[k][j]) { f[i][j]=f[ik][j+1]+v[k][j]。i++) { f[i][m]=v[i][m]。 for(int i=1。 本章具體研究多階段的動態(tài)規(guī)劃模型及其在資源分配問題上的實例應(yīng)用。多階段決策問題，不論其本身是否與時間有關(guān)，由于分為階段來依次解決，這便具有了明顯的時序性，而在各階段中所采取的決策是隨階段而變動的，不同階段采取不同決策，這便是“動態(tài)”的含義。線性規(guī)劃模型日益成熟，在生活各方面都會經(jīng)常用到線性規(guī)劃模型，通過對線性規(guī)劃模型的數(shù)據(jù) A， b， C 進(jìn)行靈敏度分析，可以盡可能控制這些數(shù)據(jù)的變化范圍，使得企業(yè)保持一定的收益。 圖 的第 8 行“ DUAL PRICES”告訴我們，增加 1 公斤黃豆時利潤增長 24 元，即 1 公斤黃豆的影子價格為 24 元； 圖 的第 23 行“ CURRENT RHS”的“ ALLOWABLE INCREASE”和“ ALLOWABLE DECREASE”給出了黃豆的影子價格有意義條件下約束右端的限制范圍：黃豆最多增加 30 公斤。根據(jù)市場需求，生 產(chǎn)的 A， B， C 全部能售出，且每公斤 A 獲利 24 元，每公斤 B 獲利 16 元，每公斤 C 獲利 12 元。若 ic 是某基變量 ix 的價值系數(shù)， jc?為該價值系數(shù)的改變量