某廠排氣管車間生產(chǎn)計(jì)劃優(yōu)化分析實(shí)驗(yàn)報(bào)告

某廠排氣管車間生產(chǎn)計(jì)劃的優(yōu)化剖析實(shí)驗(yàn)報(bào)告西安理工大學(xué)實(shí)驗(yàn)報(bào)告成績(jī)第1頁（共頁）課程：實(shí)驗(yàn)日期：年月日專業(yè)班號(hào)：組別：交報(bào)告日期：年月日姓名：學(xué)號(hào)：報(bào)告退發(fā)：（校正、重做）同組者：教師審批署名：實(shí)驗(yàn)名稱：某廠排氣管車間生產(chǎn)計(jì)劃的優(yōu)化剖析實(shí)驗(yàn)內(nèi)容：1、擬訂收益最大的生產(chǎn)計(jì)劃（1）成立線性規(guī)劃數(shù)學(xué)模型；車間基本生產(chǎn)工人工時(shí)計(jì)算以下：S=27×(22×8–2–4)=4590（小時(shí)/月）按產(chǎn)量1%的工廢實(shí)質(zhì)可用時(shí)間：4590×(1–1%)＝4544（小時(shí)/月）每種設(shè)施月實(shí)質(zhì)可利用工時(shí)（減去工廢后的可用時(shí)間）以下表所示：設(shè)施月可利用工時(shí)設(shè)施名月可利用工時(shí)名稱（小時(shí)/月）稱（小時(shí)/月）1.平1392×(1–2.臥銑1400×(1–面銑1%)＝1378床1%)＝1386床3.組2082×(1–4.單面700×(1–1%)合鉆1%)＝2061銑床＝693床5.攻2088×(1–6.精銑1396×(1–絲床1%)＝2067床1%)＝13827.擴(kuò)1376×(1–8.搖臂1384×(1–孔鉆1%)＝1362鉆床1%)＝1370床9.去700×(1–1%)10.清700×(1–1%)毛刺＝693洗機(jī)＝693機(jī)每種排氣管收益（減去料廢后的收益）以下表所示：品12345678項(xiàng)目毛981049411210697104102坯價(jià)格①料1.962.081.82.22.121.942.082.0廢844成本（①×2%）輔22222222料消耗動(dòng)1010101010101010能消耗工10131214158911具等消耗管1.451.091.21.41.181.2261.301.5理59148586費(fèi)用稅151614.1716.514.515.615.收85售150160.149172166145.6157.155價(jià)18.8利11.511.913.13.13.110.9313.811.潤(rùn)852111329235127（元/根）依據(jù)給定的條件及要求,設(shè)x1，x2，x8分別為第一種、第二種第八種排氣管的月產(chǎn)量，月產(chǎn)量單位為1000根/月。將目標(biāo)函數(shù)取為每個(gè)月的總產(chǎn)品收益，得出對(duì)于月計(jì)劃生產(chǎn)的線性規(guī)劃模型為：maxZ=11585x1+11921x2+13110x3+13320x4+13192x5+10933.5x6+13812x7+11700x841.9x1+43.3x2+41.7x3+48.1x4+46.5x5+40.9x6+47.8x7+45.7x8≤45444.0x1+4.5x2+4.8x3+5.8x4+5.2x5+4.0x6+4.6x7+5.6x8≤13783.9x1+4.5x2+4.3x3+5.0x4+4.9x5+4.4x6+5.1x7+4.8x8≤13865.9x1+5.8x2+5.7x3+6.3x4+6.5x5+6.0x6+6.6x7+6.4x8≤20613.5x1+3.0x2+3.7x3+4.0x4+3.8x5+3.0x6+4.1x7+3.4x8≤6935.8x1+6.2x2+5.7x3+6.4x4+6.3x5+6.0x6+6.5x7+6.2x8≤20675.5x1+5.7x2+4.7x3+6.0x4+5.9x5+5.2x6+6.2x7+5.6x8≤13823.9x1+3.8x2+4.0x3+4.1x4+3.7x5+3.5x6+4.1x7+3.6x8≤13624.1x1+4.0x2+4.0x3+4.3x4+4.2x5+3.8x6+4.3x7+4.3x8≤13702.5x1+2.9x2+2.7x3+3.0x4+3.0x5+2.5x6+3.1x7+2.8x8≤6932.8x1+2.9x2+2.1x3+3.2x4+3.0x5+2.5x6+3.2x7+3.0x8≤693x1≥10,x2–x4=3,x3≥5,x6≤60,x7≥10,x2,x4,x5,x6,x8≥0（2）用WinQSB軟件求解；X=(10,3,84.3429,0,0,0,10,0)；maxZ=1395469（3）寫出各樣生產(chǎn)月生產(chǎn)量及月總收益。月生產(chǎn)應(yīng)以下安排：第一～第八種排氣管分別按排10000，3000，84343，0，0，0，10000，0根。月最大可獲收益1395469元。2、結(jié)果剖析（1）剖析各樣資源的利用狀況，依據(jù)線性規(guī)劃獲得的結(jié)果，怎樣從頭調(diào)整資源；資源利用率以下表所示：資月可實(shí)質(zhì)利節(jié)余資源實(shí)質(zhì)利源利用用工時(shí)用率工時(shí)1.平面1378504.3461873.653936.59%銑床1386466.1746919.825433.63%臥銑床3.組2061623.15471437.845030.23%合鉆4.單面693397.0688295.931257.29%銑床5.攻2067622.35471444.645030.10%絲床6.精1382530.5117851.488338.38%銑床7.1362428.7717933.228331.48%擴(kuò)孔鉆床8.搖臂1370433.3717936.628331.63%鉆床9.去毛693292.4259400.574142.19%刺機(jī)10.清693245.8201447.179935.47%洗機(jī)人45444544100%0工結(jié)果表示，各樣設(shè)施負(fù)荷都遠(yuǎn)沒有達(dá)到飽和，而人工已經(jīng)滿負(fù)荷運(yùn)行，所以應(yīng)提升人工的有效工時(shí)。2）利用影子價(jià)錢剖析個(gè)資源對(duì)收益的邊沿貢獻(xiàn)，剖析哪些是影響增添收益的重點(diǎn)設(shè)施；人工工時(shí)的影子價(jià)錢等于314.3885，全部設(shè)施的影子價(jià)錢全等于零。所以人工工時(shí)是限制車間產(chǎn)量或收益增添的重點(diǎn)資源。（3）假如公司現(xiàn)有一訂單，各樣排氣管的需求量是：15000，5000，5000，3000，15000，60000，10000，60000（根）。正常時(shí)間內(nèi)1個(gè)月可否達(dá)成任務(wù)，假如不可以達(dá)成，哪些資源需要加班多少時(shí)間，假設(shè)加班不額外增添成本；將原線性規(guī)劃模型改為：maxZ=11585x1+11921x2+13110x3+13320x4+13192x5+10933.5x6+13812x7+11700x841.9x1+43.3x2+41.7x3+48.1x4+46.5x5+40.9x6+47.8x7+45.7x8≤45444.0x1+4.5x2+4.8x3+5.8x4+5.2x5+4.0x6+4.6x7+5.6x8≤13783.9x1+4.5x2+4.3x3+5.0x4+4.9x5+4.4x6+5.1x7+4.8x8≤13865.9x1+5.8x2+5.7x3+6.3x4+6.5x5+6.0x6+6.6x7+6.4x8≤20613.5x1+3.0x2+3.7x3+4.0x4+3.8x5+3.0x6+4.1x7+3.4x8≤6935.8x1+6.2x2+5.7x3+6.4x4+6.3x5+6.0x6+6.5x7+6.2x8≤20675.5x1+5.7x2+4.7x3+6.0x4+5.9x5+5.2x6+6.2x7+5.6x8≤13823.9x1+3.8x2+4.0x3+4.1x4+3.7x5+3.5x6+4.1x7+3.6x8≤13624.1x1+4.0x2+4.0x3+4.3x4+4.2x5+3.8x6+4.3x7+4.3x8≤13702.5x1+2.9x2+2.7x3+3.0x4+3.0x5+2.5x6+3.1x7+2.8x8≤6932.8x1+2.9x2+2.1x3+3.2x4+3.0x5+2.5x6+3.2x7+3.0x8≤693x1≥15,x2≥5,x3≥5,x4≥3,x5≥15,x6≥60,x7≥10,x8≥60用WinQSB軟件求解:(此線性規(guī)劃無可行解)由上圖可知，需要增添有效人工工時(shí)3025.3小時(shí)?？紤]工廢，起碼應(yīng)當(dāng)增添人工工時(shí)3055.86小時(shí)才可達(dá)成此訂單需求。4）對(duì)現(xiàn)有資源和生產(chǎn)能力進(jìn)行剖析，提出你對(duì)排氣管車間整個(gè)計(jì)劃的見解和建議。①此刻的生產(chǎn)結(jié)