min=Xab*0.0339+Xac*0.1233+Xad*0.0656+Xaf*0.1081+Xaj*0.2052+Xak*0.0558+Xal*0.0756+Xam*0.0611+Xap*0.0989+Xat*0.1776+Xeb*0.1728+Xec*0.0619+Xed*0.0113+Xef*0.1448+Xej*0.0064+Xek*0.0967+Xel*0.1754+Xem*0.0654+Xep*0.0912+Xet*0.0501+Xgb*0.0926+Xgc*0.0535+Xgd*0.0704+Xgf*0.1344+Xgj*0.0097+Xgk*0.1384+Xgl*0.1997+Xgm*0.0636+Xgp*0.0845+Xgt*0.1052+Xhb*0.0662+Xhc*0.0808+Xhd*0.0395+Xhf*0.0458+Xhj*0.0664+Xhk*0.0890+Xhl*0.0820+Xhm*0.0909+Xhp*0.0872+Xht*0.0123+Xib*0.1310+Xic*0.1276+Xid*0.0739+Xif*0.0470+Xij*0.0265+Xik*0.0329+Xil*0.0778+Xim*0.0969+Xip*0.0496+Xit*0.0643+Xnb*0.0429+Xnc*0.0649+Xnd*0.0253+Xnf*0.0632+Xnj*0.0966+Xnk*0.0599+Xnl*0.0452+Xnm*0.0149+Xnp*0.0171+Xnt*0.0472+Xob*0.0314+Xoc*0.0642+Xod*0.0227+Xof*0.0320+Xoj*0.1525+Xok*0.0468+Xol*0.0814+Xom*0.3909+Xop*0.375+Xot*0.0685+Xqb*0.0785+Xqc*0.0403+Xqd*0.0638+Xqf*0.0430+Xqj*0.0618+Xqk*0.0556+Xql*0.0762+Xqm*0.0636+Xqp*0.0990+Xqt*0.0107+Xrb*0.0839+Xrc*0.0840+Xrd*0.0265+Xrf*0.0236+Xrj*0.0182+Xrk*0.0384+Xrl*0.1031+Xrm*0.0644+Xrp*0.0203+Xrt*0.0094+Xsb*0.0594+Xsc*0.1283+Xsd*0.0541+Xsf*0.0311+Xsj*0.0457+Xsk*0.0496+Xsl*0.0629+Xsm*0.0259+Xsp*0.0315+Xst*0.0309 Xab+Xac+Xad+Xaf+Xaj+Xak+Xal+Xam+Xap+Xat=7; Xeb+Xec+Xed+Xef+Xej+Xek+Xel+Xem+Xep+Xet=9; Xgb+Xgc+Xgd+Xgf+Xgj+Xgk+Xgl+Xgm+Xgp+Xgt=4; Xhb+Xhc+Xhd+Xhf+Xhj+Xhk+Xhl+Xhm+Xhp+Xht=5; Xib+Xic+Xid+Xif+Xij+Xik+Xil+Xim+Xip+Xit=3;
Xnb+Xnc+Xnd+Xnf+Xnj+Xnk+Xnl+Xnm+Xnp+Xnt=5; Xob+Xoc+Xod+Xof+Xoj+Xok+Xol+Xom+Xop+Xot=1; Xqb+Xqc+Xqd+Xqf+Xqj+Xqk+Xql+Xqm+Xqp+Xqt=5; Xrb+Xrc+Xrd+Xrf+Xrj+Xrk+Xrl+Xrm+Xrp+Xrt=10; Xsb+Xsc+Xsd+Xsf+Xsj+Xsk+Xsl+Xsm+Xsp+Xst=6;
Xab+Xeb+Xgb+Xhb+Xib+Xnb+Xob+Xqb+Xrb+Xsb<=4; Xac+Xec+Xgc+Xhc+Xic+Xnc+Xoc+Xqc+Xrc+Xsc<=3; Xad+Xed+Xgd+Xhd+Xid+Xnd+Xod+Xqd+Xrd+Xsd<=9; Xaf+Xef+Xgf+Xhf+Xif+Xnf+Xof+Xqf+Xrf+Xsf<=4; Xaj+Xej+Xgj+Xhj+Xij+Xnj+Xoj+Xqj+Xrj+Xsj<=1;
Xak+Xek+Xgk+Xhk+Xik+Xnk+Xok+Xqk+Xrk+Xsk<=9; Xal+Xel+Xgl+Xhl+Xil+Xnl+Xol+Xql+Xrl+Xsl<=1;
Xam+Xem+Xgm+Xhm+Xim+Xnm+Xom+Xqm+Xrm+Xsm<=16; Xap+Xep+Xgp+Xhp+Xip+Xnp+Xop+Xqp+Xrp+Xsp<=7; Xat+Xet+Xgt+Xht+Xit+Xnt+Xot+Xqt+Xrt+Xst<=9; end
Global optimal solution found.
Objective value: 1.303100 Total solver iterations: 28
Variable Value Reduced Cost
XAB 4.000000 0.000000 XAC 0.000000 0.7760000E-01 XAD 0.000000 0.3390000E-01
16
XAF 0.000000 0.6710000E-01 XAJ 0.000000 0.2033000 XAK 3.000000 0.000000 XAL 0.000000 0.1980000E-01 XAM 0.000000 0.5300000E-02 XAP 0.000000 0.6120000E-01 XAT 0.000000 0.1615000 XEB 0.000000 0.1593000
XEC 0.000000 0.3660000E-01 XED 9.000000 XEF 0.000000 XEJ 0.000000 XEK 0.000000 XEL 0.000000 XEM 0.000000 XEP 0.000000 XET 0.000000 XGB 0.000000 XGC 2.000000 XGD 0.000000 XGF 0.000000 XGJ 1.000000 XGK 0.000000 XGL 0.000000 XGM 1.000000 XGP 0.000000 XGT 0.000000 XHB 0.000000 XHC 0.000000 XHD 0.000000 XHF 0.000000 XHJ 0.000000 XHK 0.000000 XHL 0.000000 XHM 0.000000 XHP 0.000000 XHT 5.000000 XIB 0.000000 XIC 0.000000 XID 0.000000 XIF 0.000000 XIJ 0.000000 XIK 3.000000 XIL 0.000000
0.000000 0.1242000 0.2490000E-01 0.6130000E-01 0.1400000
0.3000000E-01 0.7390000E-01 0.5440000E-01 0.5090000E-01 0.000000 0.3090000E-01 0.8560000E-01 0.000000
0.7480000E-01 0.1361000 0.000000 0.3900000E-01 0.8130000E-01 0.3610000E-01 0.3890000E-01 0.1160000E-01 0.8600000E-02 0.6830000E-01 0.3700000E-01 0.3000000E-01 0.3890000E-01 0.5330000E-01 0.000000 0.1200000 0.1048000 0.6510000E-01 0.2890000E-01 0.4750000E-01 0.000000 0.4490000E-01
17
XIM 0.000000 0.6400000E-01 XIP 0.000000 0.3480000E-01 XIT 0.000000 0.7110000E-01 XNB 0.000000 0.4990000E-01 XNC 0.000000 0.6010000E-01 XND 0.000000 0.3450000E-01 XNF 0.000000 0.6310000E-01 XNJ 0.000000 0.1356000
XNK 0.000000 0.4500000E-01 XNL 0.000000 XNM 5.000000 XNP 0.000000 XNT 0.000000 XOB 0.000000 XOC 0.000000 XOD 0.000000 XOF 1.000000 XOJ 0.000000 XOK 0.000000 XOL 0.000000 XOM 0.000000 XOP 0.000000 XOT 0.000000 XQB 0.000000 XQC 1.000000 XQD 0.000000 XQF 0.000000 XQJ 0.000000 XQK 0.000000 XQL 0.000000 XQM 0.000000 XQP 0.000000 XQT 4.000000 XRB 0.000000 XRC 0.000000 XRD 0.000000 XRF 3.000000 XRJ 0.000000 XRK 0.000000 XRL 0.000000 XRM 0.000000 XRP 7.000000 XRT 0.000000 XSB 0.000000
0.3030000E-01 0.000000 0.2030000E-01 0.7200000E-01 0.6500000E-02 0.2750000E-01 0.000000 0.000000 0.1596000 0.000000 0.3460000E-01 0.3441000 0.3463000
0.6140000E-01 0.5000000E-01 0.000000 0.3750000E-01 0.7400000E-02 0.6530000E-01 0.5200000E-02 0.2580000E-01 0.1320000E-01 0.6670000E-01 0.000000 0.6740000E-01 0.5570000E-01 0.1220000E-01 0.000000 0.3370000E-01 0.000000 0.6470000E-01 0.2600000E-01 0.000000
0.1070000E-01 0.5540000E-01
18
XSC 0.000000 0.1125000
XSD 0.000000 0.5230000E-01 XSF 0.000000 0.2000000E-01 XSJ 0.000000 0.7370000E-01 XSK 0.000000 0.2370000E-01 XSL 0.000000 0.3700000E-01 XSM 6.000000 0.000000 XSP 0.000000 0.2370000E-01 XST 0.000000 0.4470000E-01
Row Slack or Surplus Dual Price 1 1.303100 -1.000000 2 0.000000 -0.5580000E-01 3 0.000000 -0.3540000E-01 4 0.000000 -0.6360000E-01 5 0.000000 -0.5200000E-01 6 0.000000 -0.3290000E-01 7 0.000000 -0.1490000E-01 8 0.000000 -0.4680000E-01 9 0.000000 -0.5040000E-01 10 0.000000 -0.3840000E-01 11 0.000000 -0.2590000E-01 12 0.000000 0.2190000E-01 13 0.000000 0.1010000E-01 14 0.000000 0.2410000E-01 15 0.000000 0.1480000E-01 16 0.000000 0.5390000E-01 17 3.000000 0.000000 18 1.000000 0.000000 19 4.000000 0.000000
20 0.000000 0.1810000E-01 21 0.000000 0.3970000E-01
附录1----5
model:
min=Xab*0.0339+Xac*0.1233+Xad*0.0656+Xaf*0.1081+Xaj*0.2052+Xak*0.0558+Xal*0.0756+Xam*0.0611+Xap*0.0989+Xat*0.1776+Xeb*0.1728+Xec*0.0619+Xed*0.0113+Xef*0.1448+Xej*0.0064+Xek*0.0967+Xel*0.1754+Xem*0.0654+Xep*0.0912+Xet*0.0501+Xgb*0.0926+Xgc*0.0535+Xgd*0.0704+Xgf*0.1344+Xgj*0.0097+Xgk*0.1384+Xgl*0.1997+Xgm*0.0636+Xgp*0.0845+Xgt*0.1052+Xhb*0.0662+Xhc*0.0808+Xhd*0.0395+Xhf*0.0458+Xhj*0.0664+Xhk*0.0890+Xhl*0.0820+Xhm*0.0909+Xhp*0.0872+Xht*0.0123+Xib*0.1310+Xic*0.1276+Xid*0.0739+Xif*0.0470+Xij*0.0265+Xik*0.0329+Xil*0.0778+Xim*0.0969+Xip*0.0496+Xit*0.0643+Xnb*0.0429+Xnc*0.0649+Xnd*0.0253+Xnf*0.0632+Xnj*0.0966+Xnk*0.0599+
19
Xnl*0.0452+Xnm*0.0149+Xnp*0.0171+Xnt*0.0472+Xob*0.0314+Xoc*0.0642+Xod*0.0227+Xof*0.0320+Xoj*0.1525+Xok*0.0468+Xol*0.0814+Xom*0.3909+Xop*0.375+Xot*0.0685+Xqb*0.0785+Xqc*0.0403+Xqd*0.0638+Xqf*0.0430+Xqj*0.0618+Xqk*0.0556+Xql*0.0762+Xqm*0.0636+Xqp*0.0990+Xqt*0.0107+Xrb*0.0839+Xrc*0.0840+Xrd*0.0265+Xrf*0.0236+Xrj*0.0182+Xrk*0.0384+Xrl*0.1031+Xrm*0.0644+Xrp*0.0203+Xrt*0.0094+Xsb*0.0594+Xsc*0.1283+Xsd*0.0541+Xsf*0.0311+Xsj*0.0457+Xsk*0.0496+Xsl*0.0629+Xsm*0.0259+Xsp*0.0315+Xst*0.0309+(4-(Xab+Xeb+Xgb+Xhb+Xib+Xnb+Xob+Xqb+Xrb+Xsb))*0.3+(3-(Xac+Xec+Xgc+Xhc+Xic+Xnc+Xoc+Xqc+Xrc+Xsc))*0.24+(9-(Xad+Xed+Xgd+Xhd+Xid+Xnd+Xod+Xqd+Xrd+Xsd))*0.33+(4-(Xaf+Xef+Xgf+Xhf+Xif+Xnf+Xof+Xqf+Xrf+Xsf))*0.32+(1-(Xaj+Xej+Xgj+Xhj+Xij+Xnj+Xoj+Xqj+Xrj+Xsj))*0.26+(9-(Xak+Xek+Xgk+Xhk+Xik+Xnk+Xok+Xqk+Xrk+Xsk))*0.185+(1-(Xal+Xel+Xgl+Xhl+Xil+Xnl+Xol+Xql+Xrl+Xsl))*0.27+(16-(Xam+Xem+Xgm+Xhm+Xim+Xnm+Xom+Xqm+Xrm+Xsm))*0.286+(7-(Xap+Xep+Xgp+Xhp+Xip+Xnp+Xop+Xqp+Xrp+Xsp))*0.245+(9-(Xat+Xet+Xgt+Xht+Xit+Xnt+Xot+Xqt+Xrt+Xst))*0.03; Xab+Xac+Xad+Xaf+Xaj+Xak+Xal+Xam+Xap+Xat=7; Xeb+Xec+Xed+Xef+Xej+Xek+Xel+Xem+Xep+Xet=9; Xgb+Xgc+Xgd+Xgf+Xgj+Xgk+Xgl+Xgm+Xgp+Xgt=4; Xhb+Xhc+Xhd+Xhf+Xhj+Xhk+Xhl+Xhm+Xhp+Xht=5; Xib+Xic+Xid+Xif+Xij+Xik+Xil+Xim+Xip+Xit=3;
Xnb+Xnc+Xnd+Xnf+Xnj+Xnk+Xnl+Xnm+Xnp+Xnt=5; Xob+Xoc+Xod+Xof+Xoj+Xok+Xol+Xom+Xop+Xot=1; Xqb+Xqc+Xqd+Xqf+Xqj+Xqk+Xql+Xqm+Xqp+Xqt=5; Xrb+Xrc+Xrd+Xrf+Xrj+Xrk+Xrl+Xrm+Xrp+Xrt=10; Xsb+Xsc+Xsd+Xsf+Xsj+Xsk+Xsl+Xsm+Xsp+Xst=6;
Xab+Xeb+Xgb+Xhb+Xib+Xnb+Xob+Xqb+Xrb+Xsb<=4; Xac+Xec+Xgc+Xhc+Xic+Xnc+Xoc+Xqc+Xrc+Xsc<=3; Xad+Xed+Xgd+Xhd+Xid+Xnd+Xod+Xqd+Xrd+Xsd<=9; Xaf+Xef+Xgf+Xhf+Xif+Xnf+Xof+Xqf+Xrf+Xsf<=4; Xaj+Xej+Xgj+Xhj+Xij+Xnj+Xoj+Xqj+Xrj+Xsj<=1;
Xak+Xek+Xgk+Xhk+Xik+Xnk+Xok+Xqk+Xrk+Xsk<=9; Xal+Xel+Xgl+Xhl+Xil+Xnl+Xol+Xql+Xrl+Xsl<=1;
Xam+Xem+Xgm+Xhm+Xim+Xnm+Xom+Xqm+Xrm+Xsm<=16; Xap+Xep+Xgp+Xhp+Xip+Xnp+Xop+Xqp+Xrp+Xsp<=7; Xat+Xet+Xgt+Xht+Xit+Xnt+Xot+Xqt+Xrt+Xst<=9; end
Global optimal solution found.
Objective value: 1.935900 Total solver iterations: 43
Variable Value Reduced Cost
XAB 4.000000 0.000000
XAC 0.000000 0.8280000E-01 XAD 0.000000 0.5350000E-01 XAF 0.000000 0.6870000E-01
20