某廠排氣管車間生產(chǎn)計劃的優(yōu)化分析實驗報告

1、某廠排氣管車間生產(chǎn)計劃的優(yōu) 化分析實驗報告4= 西安理工大學(xué)實驗報告成績第1頁（共頁）課程實驗日期：年月日專業(yè)班號：組別交報告日期：年月日姓名： 學(xué)號：報告退發(fā)：（訂正、重做）同組者：教師審批簽字：實驗名稱：某廠排氣管車間生產(chǎn)計劃的優(yōu)化分析實驗內(nèi)容：1、 制定利潤最大的生產(chǎn)計劃（1）建立線性規(guī)劃數(shù)學(xué)模型；車間基本生產(chǎn)工人工時計算如下：S = 27X （ 22X 8 -2 -4 ） = 4590（小時 /月）按產(chǎn)量1%的工廢實際可用時間：4590X （ 1 -1% ） = 4544 （小時 /月）每種設(shè)備月實際可利用工時（減去工廢后的可用時間）如下表所示:設(shè) 名稱備爾月可利用工時（小時/月）設(shè)備

2、名 稱月可利用工時（小時/月）1.平1392 X ( 1-2.臥銑1400 X ( 1-面床銑1% ) = 1378床1% ) = 13863.組2082 X ( 1-4.單面700 X ( 1 -1% )合 床鉆1% ) = 2061銑床=6935.攻2088 X ( 1-6.精銑1396 X ( 1-絲床1% ) = 2067床1% ) = 13827.擴1376 X ( 1-&搖臂1384 X ( 1-孔 床鉆1% ) = 1362鉆床1% ) = 13709.去700 X ( 1 -1% )10.清700 X ( 1 -1% )毛 機刺=693洗機=693每種排氣管利潤（減去料

3、廢后的利潤）如下 表所示：y品目12345678毛 坯 價 格981049411210697104102料 廢 成 本（X2%）1.962.081.882.242.121.942.082.04輔 料 消 耗22222222動1010101010101010能消耗工 具 等 消 耗10131214158911管1.451.091.21.41.181.2261.301.5理 費 用59148586稅 收151614.81716.514.515.615.5售 價150160.1149172166145.6157.8155.8利11.511.913.13.13.110.9313.811.潤（元/根）8

4、52111329235127根據(jù)給定的條件及要求，設(shè)Xi, 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。將目標函數(shù)取為每月的總產(chǎn)品利 潤，得出關(guān)于月計劃生產(chǎn)的線性規(guī)劃模型為：maxZ = 11585 xi+11921 X2+13110 X3+13320X4+13192 X5+10933.5 X6+13812 X7+1 仃00 X8(41.9 X1+43.3 X2+41.7 X3+48.1 X4+46.5 X5+40.9X6+47.8 X7+45.7 X8 < 45444.0 X1+4.5 X2+4.8 X3+5.8 X4+5.2 X5+4.0 X6+

5、4.6X7+5.6 X8 W 1378/3.9 X1+4.5 X2+4.3 X3+5.0 X4+4.9 X5+4.4 X6+5.1X7+4.8 X8 W 13865.9 X1+5.8 X2+5.7 X3+6.3 X4+6.5 X5+6.0 X6+6.6X7+6.4 X8 W 2061< 3.5 X1+3.0 X2+3.7 X3+4.0 X4+3.8 X5+3.0 X6+4.1 X7+3.4 X8 W 6935.8 X1+6.2 X2+5.7 X3+6.4 X4+6.3 X5+6.0 X6+6.5X7+6.2 X8 W 20675.5 X1+5.7 X2+4.7 X3+6.0 X4+5.9

6、 X5+5.2 X6+6.2X7+5.6 X8 W 13823.9 X1+3.8 X2+4.0 X3+4.1 X4+3.7 X5+3.5 X6+4.1X7+3.6 X8 < 13624.1 xi+4.0 X2+4.0 X3+4.3 X4+4.2 X5+3.8 X6+4.3X7+4.3 X8 W 13702.5 Xi+2.9 X2+2.7 X3+3.0 X4+3.0 X5+2.5 X6+3.1X7+2.8 X8 W 6932.8 Xi+2.9 X2+2.1 X3+3.2 X4+3.0 X5+2.5 X6+3.2X7+3.0 X8 W 693X1 > 10, X2 -X4 = 3, X

7、3 > 5, X6 W 60, X7 > 10,X2, X4, X5, X6, X8 > 0(2) 用 WinQSB軟件求解;VariolnleXJX5XEX7XSDirectionR.H SMcixinikze11 KBS115?11311D133SD13192wm 513B121000CH43 341.7怡II催磯仏E；45.7«44C?4D154.6it5!40<8se<S137VC33.S4.3；50i<34 451r<=H3BC5.S5JGJ5E.OLE&4=2tGICB3.53.0373S3.01.134f-693CG.s

8、.eG.25.76.3BD&.ES.2c2IG7C75.747£J£曹5.2畀5S電月13B2C«333 0403.?354131<1362C9<'04.0<3A.Z3.84.343<=1皿CIO2.52JJ.Qi102.53-12.9<=esiCl 32.82J2.1J2302.53.23D<-fi93C1201D1ID0Di0- 1LawBrBound10D50iQDID0UppmrRoiijndMMMM&DMVariablislypi!Cunlinii 血CunlinuousCdrilirMovgC

9、口筒Dsmidfi :VnrmbleSolulion ValueUnit CoeK or PrnMcft()iTolal CoHlribubonReducedBetsibSluQus-AJIcwnble Min.砌AHowablsMax. o(j)XI1D.0DD911.E35.0mII5.B5DJQDOCbasic-hi13r172.9»DII1.IDID11.s21.0m35.7&3.0DOD0basic-M15,415. HDD刈X5B4 342913/1 ID ODDOL105J3SJDDD0basic12.049 3BD0M11 DOg13J200(N>n-H

10、M.107Dwl hnunrl-Ml0uiKiniUtfl tivHjr*l州14.61900師DH0r933Jm0-1.320910tfl bound-MX71D.0DD913rfll2.0M0UBJZDUDIDO0bosic-MI5J2777DQXBDIIJDO.OttOOD-2.&G7.55Dm bound-Mll4r367.5SD9DbjuidjvigFu 血 nmi(Max =1.395l«9.(MI0ConstiQintLeft Hand SideDiirBdliQniRighl HundSidleSluckr SurpllusShodaw PriceAJIowo

11、bleMlin RJHSAllowable Max. RHSCH c?<544.1010c®MID0314 3$85L235.40IQM5I4ME1c=1J7I.OOIOa?3.G53905I434E13C3c=IJBi.MlD919U825404阪H犧MC4B23.I5472JEI.0DQDI.437.015D0G2X1547MC&(-GS3J0D0295.13120317.06BSMCBG2?.37«-2JB7JD0D1.441.&45.DQG2Z.3E46M0753D.5117(1JB2.0DOIDB51 43B30E3DJ117MCS加Wc&#

12、174;1JG2.NID933 am0加 717M朋03.371?c=Lsnion93&E293Q4 誌3THMC10馳程54c=691DIDI刪戛和02輪坨閒MC1I245別1c-693UOIDO7179902聒即1M1D.0DD9>-ID.OQiaQC-L587J7BDDBSJG4ZC131.ID6D-1JDOO0-tE92.DCHDD刑剛卄C14S4 3<29S.MIDiZ9.3«90抽肌別出CISn$0 OUIM tMQ0QM1GCIS>=10.0MQ0訶皿90D月.21冷X = ( 10, 3, 84.3429, 0, 0, 0, 10, 0 ；

13、maxZ = 1395469(3)寫出各種生產(chǎn)月生產(chǎn)量及月總利潤。月生產(chǎn)應(yīng)如下安排：第一第八種排氣管分 別按排 10000, 3000, 84343, 0, 0, 0, 10000, 0根。月最大可獲利潤1395469元。2、 結(jié)果分析(1)分析各種資源的利用情況，根據(jù)線性規(guī)劃得到的結(jié)果，如何重新調(diào)整資源；資源利用率如下表所示:資 源月可 利用 工時實際利 用工時剩余資源實際利用率1.、平r銑 床1378504.3461873.653936.59%2.1386466.1746i 919.825433.63%57.29%38.38%31.48851,4883J 933.228623.154762

14、2.3547530,5117428.77”L oCMco69卜 oCMCM CO COLCM9 COLmM期創(chuàng)扭G 1- <3 S Min 暮M.co BM2鼻孔鉆床搖 臂 鉆 床1370433.3717'936.628331.63%9.去 毛 刺 機693292.4259400.574142.19%10.清 洗 機693245.8201447.179935.47%人454445440100%結(jié)果表明，各種設(shè)備負荷都遠沒有達到飽 和，而人工已經(jīng)滿負荷運轉(zhuǎn)，所以應(yīng)提高人工的 有效工時。（2）利用影子價格分析個資源對利潤的邊際貢獻，分析哪些是影響增加利潤的 關(guān)鍵設(shè)備；人工工時的影子價

15、格等于314.3885,所有設(shè) 備的影子價格全等于零。因此人工工時是制約車 間產(chǎn)量或利潤增長的關(guān)鍵資源。（3）如果企業(yè)現(xiàn)有一訂單，各種排氣管的需求量是：15000, 5000，5000, 3000，15000, 60000, 10000，60000（根）。正常時間內(nèi)1個月能否完成任務(wù)，如果不能完成，哪些資源需要加班多少時間，假定加班不額外增加成本；將原線性規(guī)劃模型改為：maxZ = 11585 X1+11921 X2+13110 X3+13320X4+13192 X5+10933.5 X6+13812 X7+1 仃00 X841.9 X1+43.3 X2+41.7 X3+48.1 X4+46.

16、5 X5+4 0.9 X6+47.8 X7+45.7 X8 < 45444.0 X1+4.5 X2+4.8 X3+5.8 X4+5.2 X5+4.0 X6+4.6 X7+5.6 X8 W 13783.9 X1+4.5 X2+4.3 X3+5.0 X4+4.9 X5+4.4 X6+5.1X7+4.8 X8 W 13865.9 X1+5.8 X2+5.7 X3+6.3 X4+6.5 X5+6.0 X6+6.6 X7+6.4 X8 W 20613.5 X1+3.0 X2+3.7 X3+4.0 X4+3.8 X5+3.0 X6+4.1 X7+3.4 X8 W 6935.8 X1+6.2 X2+5

17、.7 X3+6.4 X4+6.3 X5+6.0 X6+6.5 X7+6.2 X8 W 20675.5 Xi+5.7 X2+4.7 X3+6.0 X4+5.9 X5+5.2 X6+6.2X7+5.6 X8 W 13823.9 Xi+3.8 X2+4.0 X3+4.1 X4+3.7 X5+3.5 X6+4.1 X7+3.6 X8 W 13624.1 X1+4.0 X2+4.0 X3+4.3 X4+4.2 X5+3.8 X6+4.3 X7+4.3 X8 W 13702.5 X1+2.9 X2+2.7 X3+3.0 X4+3.0 X5+2.5 X6+3.1 X7+2.8 X8 W 6932.8 X1+

18、2.9 X2+2.1 X3+3.2 X4+3.0 X5+2.5 X6+3.2X7+3.0 X8 W 693X1 > 15, X2 > 5, X3 > 5, X4 > 3, X5 > 15, X6 >60, X7 A 10, X8 A 60用WinQSB軟件求解:Vanable ->XW5XGX7K8DiradmnA. H. S.MaximizeDM"131101332011192I09J35133121I70DCl<1941)姬14C.54D.?砒457<-AM4C245<a5.B5.2<0tB5.&1皿C31

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