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ZCYS20101S1123451123212a.b.c.3431a.b.c.2Z212345ZCYS201021ZZi∈iikiTiTGGj∈jjNjtjt,∑∑∈∈+=GjjjZiiitNTkFmin01jNGj∈∑∈GjjN2jjtN∑∈GjjjtN31nA-n1nk-11n-n-Tk2AF4A3A2A1A0A424140NNN++43N3130NN+32N4020NN+4121NN+3010NN+4A3A2A1A0A424140NNN++43N3130NN+32N4020NN+4121NN+3010NN+ZCYS201034A3A2A1A0A4A3A2A1A0A41N40N42N30N31N20NNtN0+1+230+1201000000040N41N30N0004041NN+30N()24041tNN+130tN14=k13=k12=k4T3T2T()13024041234tNtNNTTT+++++304041NNN++()13024041tNtNN++4A4A3A3A2A2A1A1A0A0A4A4A3A3A2A2A1A1A0A0A41N40N42N30N31N20NNtN0+1+230+1201000000040N41N30N0004041NN+30N()24041tNN+130tN14=k13=k12=k4T3T2T()13024041234tNtNNTTT+++++304041NNN++()13024041tNtNN++2-3-3512t2NtN∈wwNwtwt∑∑∈∈-=Ziii()ji,{}ikijTKktNmin≥∈⋅2ZCYS20104iKkkijTtN≥∑∈()ji,∑NiKkkTtN≥∑∑∈3NttN122-3-52-3-64A3A2A1A0ATt5005506002.53.02.018042=N25041=N6040=N10031=N13030=N30020=N6254501507501801203003902606002502502504A3A2A1A0ATt5005506002.53.02.018042=N25041=N6040=N10031=N13030=N30020=N625450150750180120300390260600250250250ZCYS201052-3-611.2-3-11()ji,ji,k2-3-12k2.2-3-133.2-3-1421.2.(1)TT(2)iAjAiTjT(3)3ZCYS201062-3-10[2-3-3]2-3-612-3-7()()10955005506002600260390120150750625450=++×-+++++++=-=∑∑∈∈Ziii=T240N2A180240=tN340N1A120140=tN44,242N3A450342=tN600+180-120-450=2104A3A2A1A0ATt5005506002.53.02.018042=N25041=N6040=N10031=N13030=N30020=N62545015075018012030039026060041N4042NN+30N20N4A3A2A1A0ATt5005506002.53.02.018042=N25041=N6040=N10031=N13030=N30020=N62545015075018012030039026060041N4042NN+30N20N625450150750180120300390260600625450150750180120300390260600ZCYS201072-3-82.2-3-830N31N2-3-9300260402-3-93.2-3-930N31N20N2-3-103,15003=T260300+390=690550+260-690=1202-3-102-3-1034512612345S3150625450150750180120300390260625450150750180120300390260ZCYS20108I50-60II80-9020-13411234ODOD2[1][1][2][2]aijkaikakj[3]aijAij[3]aijkaikakj[4]aijAij3TFP501978175ZCYS20109{}4342233114132242141331424234141414141423131313133421414242414243141314min()()()()..00,1,()jijkijZTxxTxtxxtxxxxaxaxaxaxaaxxastaxxxxZkj-=++++++⎧++=⎪+=⎪⎪++-≥⎪⎨-≥⎪⎪∈⎪⎪∈≠⎩20-175434222,.3332,311413224214141413141431414242414144322,31414141,43213134324243313142.323141424min()()()111..010101kijklijZTxxTxtaxaxaxtaxaxaxxxxxxxxxstxxxxxxx=++++++++⎧+++=⎪+=⎪⎪+=⎪⎪-≥⎨⎪+≥+⎪⎪=⎪⎪=⎩a0-1b30-1541234ZCYS2010101243434114141132132243241212332414214131431424432141414321313432424min()()()11..101jijkkijikikkijZatTatxTatxTatxatxxatxxxxxxxstxxx-==+=+==+-+-+---⎧++=⎪+=⎪⎨+=⎪⎪=⎩∑∑∑∑ab01cde4464753TFPTFPaTFPbcdTFP5TFP890-1abZCYS2010110-1NPZ41.1230-10-10-14FlodDijkstraDBFSGP-STEM122.1OD1((,),{(,)|0})kijijkxijNNijn=∀∈=∑2OD((,),{(,)|0})kkijjiijxxijNNijn=∀∈=3,,((,),{(,)|0};1,2...)ppmkkijmijijmijijpnfaxBijNNijnpm≤∀∈==∑4{}01((,),{(,)|0})kijijxijNNijn∈∀∈=,3.ODODZCYS201012OD0ij0()ijWL,0()ijWT0()ijPWEpmfmBM200001||||kkkkijjiijjiijjiijjixxxxorxxxx==--=-∑UOD01ijx=ijn51212(1)5Ck=-+312re=+12ke=+krer,k,e2ZCYS201013123{(),0}Ntt≥()Ntt()NtZ∈st()()NsNt≤st()()NtNs-s,t0(0)1PN==n1120,nnntttttNN-≤-L(1)jtNjn≤-0,h∀0h→(2)()hPNoh≥=0(0)0,limhhPNhh→∀=ttt0Tn()()!ntntePtn-=tt85-871()nnz+∈12(,,,)nSSSS=L()12(,,,)ntnnsnfSSSe-=L2()nnz+∈12(,,,)nTTTT=L1intnie-=∏312(,,,)nTTTT=L4{}nTniST=∑ZCYS201014n1,()(0)!nnxnxefxxn--=1{(),0}Ntt≥(1,2,)nSn=LnUnU2nu{,1}nun≥{,1}nun≥{(),0}Ntt≥301iiumuZ+≤∈IkU()kikPPuU==011()miKkkEuUP-==∑kPkP30uitiSi()rii()diijjjjiuNT1()()ikdirk==∑()()()1dididiu+=+()110diu+==()1diiiNu==∑001()()(2)()cov(,)2jiiiiiTEtErEmuEtr≈-++ii0icov(,)xycov(,)[(())(())]xyExExyEy=--001()()[()]2jiiTEtErmEu=-%0()/ErTmN=()1/iEt=ZCYS201015()iEt()Er1(0,]T/TNT20t=0n0(1)/nT-1tNtnnXu==∑{,0}tXt≥KU()KPUnu()nEuu=00001()()[()]()22jiiTmTEtErmEumuN=-=-%012()jTmu=-0()2cTtmuN=-S611TPTPa144LPb145LP2TPNPCANNGAa(142)ZCYS201016TPb147NPC;;TPa(143)b(148)c(149)P1863150abcde4W.W.White,A.M.BomberaultabcLP5)aZCYS201017bOD6)ab2(P183)ODOD312M4M4M43TPaijijijZCYS201018,,,,,,,,,,.minR1:R2:..R3:0R4:()()0R5:kkijijijkklijstiktlmkkmijijmijkmkkmllijijststijkstlkkihhjijkijobjZCxxxfaxBstaxaxxxxZ-=⎧=⎪⎪≤⎪⎪⎪⎛⎞⎛⎞⎪=⎨⎜⎟⎜⎟⎝⎠⎝⎠⎪⎪=⎪⎪⎪∈⎪⎩∑∑∑∑∑∑∑∑b2M6X*X*5M6{}()66,,minR1R2R5kkkijijijijkZCxx⎧⎫=∈ΩΩ=⎨⎬⎩⎭∑II2R3R4M5M6122M5M6M6NPS74[J]..1993,15(3):59~691,kikijjjjijijijkijijTitkaijxixxxkja----≠-=1=02ZCYS201019{}2341414141414231313131334224142424142433141314()..00,1,()jijkijxxaxaxaxaxaaxxastaxxxxZkj-⎧++=⎪+=⎪⎪++-≥⎪⎨-≥⎪⎪∈⎪⎪∈≠⎩34342233114132242141331424min()()()ZTxxTxtxxtxx=++++++Z840-1114322,3141414141xxxx+++=3213131xx+=4324241xx+=23313140xx-≥2,3231414241xxx+≥+301kijx=,01klijx=2434222,3332,31141322421414141314143141424241414min()()()ZTxxTxtaxaxaxtaxaxax=++++++++C950-11243434114141132132243241212332414214131431424432141414321313432424min()()()11..101jijkkijikikkijZatTatxTatxTatxatxxatxxxxxxxstxxx-==+=+==+-+-+---⎧++=⎪+=⎪⎨+=⎪⎪=⎩∑∑∑∑ZCYS201020014A3A2A1A0A40N41N42N30N31N20N4A3A2A1A0A40N41N42N30N31N20N51kijx()ijkA1021,kkijx()ij21,kkAA10ijxi,j101=ijx()ij2ZCYS201021()()()()0210223123132023013031130230032103324224431341314422412141432144311,3403404232012404040321404040314040minxtNTxtNTxxtNxxtNxtNTxtNTxxtNxxtNxtNTxxtNxtxtxNxxtNxtNTFFkkkkkkkk-+-+--⎟⎠⎞⎜⎝⎛-+-+--⎟⎠⎞⎜⎝⎛-+-+--⎟⎠⎞⎜⎝⎛-+=∑∑∑∑====0F0-10-13[M3][M4]I