精心整理的运筹学重点8.存储论

131()2RCQCQCKQQ=++311()2CCtCRtKRtt=++QRt=1PYPR=-1222CCYC+=1C3CR0t0Q0C0S3012CtCR=3012CRQC=0132CCCR=00SQ=0S1C3CRP0t0Q0C0S001ttY=⋅001QQY=⋅001CCY=001SSY=1C2C3CR0t0Q0C0S002ttY=⋅002QQY=⋅002CCY=002SSY=100002CBQSSC=-=0t1C2C3CRP0t0Q0C0S0012ttYY=⋅0012QQYY=⋅0012CCYY=0012SSYY=100002CBQSSC=-=1111,0(),,jjjmmKQQKQKQQQKQQQ--≤≤⎧⎪=≤≤⎨⎪≤≤⎩131()2RCQCQCKQQ=++rQ≤00()()()()QQrrhQrprhQrpr==-=-∑∑rQ11()()()()rQrQkrQprkrQpr∞∞=+=+-=-∑∑01()()()()()QrrQCQhQrprkrQpr∞==+=-+-∑∑(1)()(1)()CQCQCQCQ+≤⎧⎨-≤⎩300200500=-=h5005001000=-=k*Q625.0300500500)()(0=+=+==∫khkdxxfQFQ625.05050501)Pr()(50=-==≤=∫QdxQxQFQ)259()r(Phkk)r(PQ0r1-Q0r-≤+∑∑==!e)r(Pktlt-=667,.0102020hkk≈+=+,!6e)(P6ttt-=∑==Q0)(P)Q(Ftt∑∑=-=-====7066067440.0!6e)7(F,6063.0!6e)6(Ftttttt)7(Fhkk6)(F+25.81=Q()rjrQ≤0[()()()]()QPKrKWQrrdrj----∫rQ()()QPKQrdrj∞-∫0()[()()()]()()()QQCQPKrKWQrrdrPKQrdrjj∞=----+-∫∫0()QPKrdrPWj-=-∫0()()QPKFQrdrPWj-==-∫22()()()0dCQPWQdQj=--1C2C3CQ221()CKFQCC-=+150,25ms==2~(150,25)rN2150252001158()()0.71552QQrPKFQrdredrPWj----=====--Π∫∫1500.52525Q-=abcddxabdxxfdXcPdcdc---∫∫1)(}{asmsm-=⎟⎠⎞⎜⎝⎛-≤-1xrPasm-=⎟⎠⎞⎜⎝⎛-Φ1xabsm-=-1xasbm-+=1x15176.9442002502213*=××==cRcQ95.005.011=-=-=⎟⎠⎞⎜⎝⎛-Φasmx()95.0645.1=Φ645.1=-smx1047645.1120850=×+=x1C2C3CQ212CKNCC-=+(1)()pSNpS-≤≤()rSprN≤≥∑12312()()()()()()()()rsrsrsrSKsCsrprCrsprCKSCSrprCrSpr≤≤+-+-≤++-+-∑∑∑∑212CKNCC-=+0()()SFSrdrj=∫1231200()()()()()()()()sSsSKsCsrrdrCrsrdrCKSCSrrdrCrSrdrjjjj∞∞+-+-≤++-+-∫∫∫∫95.005.01111=-=-=⎟⎠⎞⎜⎝⎛-ΦasmM645.11=-smM690645.1855501=×+=M975.0025.01122=-=-=⎟⎠⎞⎜⎝⎛-ΦasmM96.12=-smM71796.1855502=×+=M312500,400,50,600CKCC====2120.308CKNCC-==+()rSprN≤≥∑sS≤12312()()()()()()()()rsrsrsrSKsCsrprCrsprCKSCSrprCrSpr≤≤+-+-≤++-+-∑∑∑∑