數(shù)學(xué)建模作業(yè)二：選課策略

1、數(shù)學(xué)建模作業(yè)二：選課策略I選課策略一、問題描述課號課名學(xué)分所屬類別先修課要求1微積分5數(shù)學(xué)2線性代數(shù)4數(shù)學(xué)3最優(yōu)化方法4數(shù)學(xué)：運籌學(xué)微積分：線性代數(shù)4數(shù)據(jù)結(jié)構(gòu)3數(shù)學(xué)；計算機計算機編程5應(yīng)用統(tǒng)計4數(shù)學(xué)；運籌學(xué)微積分：線性代數(shù)6計算機模擬3計算機：運籌學(xué)計算機編程7計算機編程2計算機8預(yù)測理論2運籌學(xué)應(yīng)用統(tǒng)計9數(shù)學(xué)實驗3運籌學(xué)計算機微積分：線性代數(shù)對于上述課程，要求至少選兩門數(shù)學(xué)課、三門運籌學(xué)課和兩門計算機課。試討論:（1）為了選修課程門數(shù)最少，應(yīng)學(xué)習(xí)哪些課程？（2）選修課程最少，且學(xué)分盡量多，應(yīng)學(xué)習(xí)哪些課程？二、問題分析設(shè)xi=l為選修課號f的課程，拓=0不選該門課程。約束條件：（1）最少2門數(shù)

2、學(xué)課，3門運籌學(xué)課，2門計算機課：X1+X2+X3+X4+X52；x+x5+x6+x3+x93；x4+x6+x7+x92o先修課程要求：2x3-xk-x20；2x5-xl-x20；x4-x70:x6-x70；xs-x50:2x9-xl-x2=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-x1=0,2x5-x1-x2=0,x4-x7=0,x6-x7=0c8-x5x3r0；x4t0rx5t丄尸x60 x7-1；x81；x9-1故最優(yōu)解：xl=x2=x3=x6=x7=x9=lz其它為0。所以要使選修課程門數(shù)最少，應(yīng)學(xué)習(xí)微積分，線性代數(shù)，最優(yōu)化方法，計算機模擬，計算機

3、編程和數(shù)學(xué)實驗，共六門。(2)of利用matheniaticaS中的Maximize()函數(shù)，并作如下討論：(代碼)選修課程不超過2門時：Maximize5x1+4x2+4x3+3x4+4x54-3x6+2x7+2x8+3x9,xl=l|xl=0zx2=l|Ix2=0,x2=lI|x2=0,x3=l|x3=0zx4=l|x4=0,x5=l|x5=0zx6=l|Ix6=0zx7=lI|x7=0,x8=l|x8=0zx9=l|x9=0,xl+x2+x3+x4+x5=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-xl=0,2x5-xl-x2=0.x4-x7=0.x6

4、x7=0,x8x5=0,2x9-xlx2v=0,xl+x2+x3+x4+x5+x6+x7+x8+x9Indeteriainat-efx3-Indet-erminate9x4-Indeteriainare9x5tIndeterminate,x6-Indeterminate,x7tIndeterminate,x8tIndeterminate,x9tIndeterminate無解；選修課程不超過3門時：Maximize5x1+4x2+4x3+3x4+4x54-3x6+2x7+2x8+3x9,xl=l|xl=0zx2=l|Ix2=0,x2=lI|x2=0,x3=l|x3=0zx4=l|x4=0,x5=

5、l|x5=0zx6=l|Ix6=0zx7=lI|x7=0,x8=l|x8=0zx9=l|x9=0,xl+x2+x3+x4+x5=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-xl=0,2x5-xl-x2=0.x4-x7=0,x6x7=0,x8x5Indeterminate,x7tIndeterminate,x8tIndeterminate,x9tIndeterminate無解；數(shù)學(xué)建模作業(yè)二：選課策略I選修課程不超過4門時：Maximize5x1+4x2+4x3+3x4+4x5+3x6+2x7+2x84-3x9,xl=l|xl=Ozx2=l|Ix2=0,x2=

6、l|x2=0,x3=l|x3=0zx4=l|x4=0,x5=l|x5=0zx6=l|x6=0,x7=l|x7=0,x8=l|x8=0zx9=l|x9=0,xl+x2+x3+x4+x5=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-xl=0,2x5-xl-x2=0.x4-x7=0.x6x7=0,x8x5=0,2x9x2Indeterminate,x7tIndeterminate,x8tIndeterminate,x9tIndeterminate無解；選修課程不超過5門時：Maximize5x1+4x2+4x3+3x4+4x5+3x6+2x7+2x84-3x9,x

7、l=l|xl=0zx2=l|Ix2=0rx2=lI|x2=0,x3=l|x3=0rx4=l|x4=0,x5=l|x5=0rx6=l|x6=0,x7=l|x7=0,x8=l|x8=0zx9=l|x9=0,xl+x2+x3+x4+x5=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-xl=0,2x5-xl-x2=0.x4-x7=0.x6x7=0,x8x5=0,2x9x2Indeteriainat-efx3-Indet-erminate9x4-Indeteriainare9x5tIndeterminate,x6-Indeterminate,x7tIndetermina

8、te,x8tIndeterminate,x9tIndeterminate無解；選修課程不超過6門時：Maximize5x1+4x2+4x3+3x4+4x5+3x6+2x7+2x84-3x9,xl=l|xl=0zx2=l|Ix2=0,x2=l|x2=0,x3=l|x3=0zx4=l|x4=0,x5=l|x5=0zx6=l|x6=0,x7=l|x7=0,x8=l|x8=0zx9=l|x9=0,xl+x2+x3+x4+x5=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-xl=0,2x5-xl-x2=0.x4-x7=0.x6x7=0,x8x5=0,2x9x21.xx4

9、0zx51,x6t0J.xx80zx91即選微積分，線性代數(shù)，線性代數(shù)，最優(yōu)化方法，應(yīng)用統(tǒng)計，計算機編程和數(shù)學(xué)實驗這6門課程時，可得學(xué)分22分；選修課程不超過7門時：Maximize5x1+4x2+4x3+3x4+4x5+3x6+2x7+2x84-3x9,xl=l|xl=0zx2=l|Ix2=0,x2=l|x2=0,x3=l|x3=0zx4=l|x4=0zx5=l|x5=0zx6=l|x6=0,x7=l|x7=0,x8=l|x8=0zx9=l|x9=0,xl+x2+x3+x4+x5=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-xl=0,2x5-xl-x2=0

10、.x4-x7=0.x6x7=0,x8x5=0,2x9x2=0,xl+x2+x3+x4+x5+x6+x7+x8+x90 x9-1ni數(shù)學(xué)建模作業(yè)二：選課策略IV數(shù)學(xué)建模作業(yè)二：選課策略I即選微積分，線性代數(shù)，線性代數(shù)，最優(yōu)化方法，應(yīng)用統(tǒng)計，計算機編程，數(shù)學(xué)實驗和計算機模擬這7門課時，可得學(xué)分25分；選修課程不超過8門時：Maximize5x1+4x2+4x3+3x4+4x5+3x6+2x7+2x84-3x9,xl=l|xl=Ozx2=l|Ix2=0zx2=l|x2=0,x3=l|x3=0,x4=l|x4=0,x5=l|x5=0,x6=l|x6=0zx7=l|x7=0,x8=l|x8=0zx9=l|x9=0,xl+x2+x3+x4+x5=2,x3+x5+x6+x8+x9=3,x4+x6+x7+x9=2,2x3-x2-xl=0z2x5-xl-x2=0.x4-x7=0.x6-x7=0zx8x5lrx5-x61.丿x7-lzx80zx9t丄即選修預(yù)測理論以外的課程，共8門，可得學(xué)分28分；全選時，可得學(xué)分31分。綜上，要使課程