- 相關(guān)推薦
數(shù)學(xué)畢業(yè)論文參考
淺談多目標(biāo)規(guī)劃及解法
摘 要:本文對(duì)多目標(biāo)規(guī)劃問(wèn)題的解決方法進(jìn)行了歸納和總結(jié),并且進(jìn)行了1定的評(píng)論;痉椒ㄓ兄饕繕(biāo)法、分層序列法;評(píng)價(jià)函數(shù)法,理想點(diǎn)法、線行加權(quán)和法、平方和權(quán)法;功效系數(shù)法。特別地介紹了1種關(guān)于線性多目標(biāo)規(guī)劃求最優(yōu)解的方法。通過(guò)歸納和總結(jié),熟知各解決方法的特點(diǎn),以便以后在實(shí)際中能夠得到更好的應(yīng)用。并且給出了1種新的評(píng)價(jià)函數(shù)。
關(guān)鍵詞: 多目標(biāo)規(guī)劃;解決方法;弱有效解;算法
On multi-objective programming and Its Solution
Abstract: This article has carried on the induction and the summary to the multi-objective programming, and has carried on the certain commentary. The main method has the primary-object method,Lexicographic method,evaluation function methods,robustness estimate,linearity weighted sum method, involution weighted sum method efficiency coefficient method .Specially introduced one kind of method of optimal solution about muti-objective linear programming. Through the induction and the summary, knows very well each solution the characteristic, in order to later in will be actual can obtain a better application. And has produced one kind of new evaluation function.
Keywords: multi-objective programming; solution; weak efficient solution; algorithm
目 錄
中文題目………………………………………………………………………………………(1)
中文摘要和關(guān)鍵詞………………………………………………………………………(1)
英文題目………………………………………………………………………………………(1)
英文摘要和關(guān)鍵詞………………………………………………………………………(1)
前言……………………………………………………………………………………………(2)
正文……………………………………………………………………………………………(3)
1 有關(guān)多目標(biāo)規(guī)劃的基本概念…………………………………………………………(3)
1.1 標(biāo)準(zhǔn)形式………………………………………………………………………………(3)
1.2 多目標(biāo)規(guī)劃的解………………………………………………………………………(4)
2 基本方法 …………………………………………………………………………………(4)
2.1主要目標(biāo)法………………………………………………………………………………(5)
2.2 分層序列法 ……………………………………………………………………………(5)
2.2.1不容許寬容…………………………………………………………………………(5)
2.2.2允許寬容……………………………………………………………………………(6)
2.3評(píng)估函數(shù)…………………………………………………………………………………(7)
2.3.1理想點(diǎn)法……………………………………………………………………………(7)
2.3.2線性加權(quán)和法………………………………………………………………………(8)
2.3.3平方加權(quán)法…………………………………………………………………………(8)
2.4功效系數(shù)法………………………………………………………………………………(8)
2.4.1直線法………………………………………………………………………………(9)
2.4.2指數(shù)法………………………………………………………………………………(10)
2.5 線行多目標(biāo)規(guī)劃最優(yōu)解求法…………………………………………………………(10)
2.5.1(LVP)弱有效解的解集性質(zhì)與求解方法…………………………………………(10)
2.5.2 決策者滿意解的確定方法……………………………………………………………(15)
2.5.3 算法步驟………………………………………………………………………………(15)
2.6確定權(quán)數(shù)法 …………………………………………………………………………………(16)
2.7新的評(píng)價(jià)函數(shù)………………………………………………………………………………(17)
3 結(jié)束語(yǔ)…………………………………………………………………………………………(17)
參考文獻(xiàn) …………………………………………………………………………………………(18)
致謝 ………………………………………………………………………………………………(20)
【數(shù)學(xué)畢業(yè)論文參考】相關(guān)文章:
數(shù)學(xué)專(zhuān)業(yè)畢業(yè)論文參考文獻(xiàn)09-21
機(jī)電畢業(yè)論文參考05-31
畢業(yè)論文提綱參考的模板07-14
優(yōu)秀畢業(yè)論文提綱參考10-14
畢業(yè)論文提綱范文參考10-24
畢業(yè)論文提綱格式參考08-03
畢業(yè)論文撰寫(xiě)格式參考08-27
畢業(yè)論文寫(xiě)作范文參考08-21
英語(yǔ)畢業(yè)論文致謝參考09-13