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)*B！暴露的人口数量最小,并转化为经济指标,
+T*@SUM(links2(i,j,k)|j#GE#4:X(i,j,k)*R(i,j))*A,
！事故发生风险最小,同时转化为经济指标,
！生成约束条件,
@FOR(demand(j)|j#GE#4:@SUM(links2(i,j,k)|i#NE#j:X(i,j,k))等于1),
！每个顾客仅被一辆车服务,
@FOR(vehicle(k):@SUM(links2(i,j,k)|j#GE#4#AND#I#NE#J
:X(i,j,k)*q(j))<,等于Q1),！每辆车的容量限制,
@FOR(facility(r):@SUM(links2(r,j,k)|j#GE#4:X(r,j,k)*Q1)<,等于H(r)),
！配送中心容量限制,
@FOR(demand(p):@FOR(vehicle(k):@SUM(links2(i,p,k)|i#NE#p
:X(i,p,k))-@SUM(links2(p,j,k)|p#NE#j:X(p,j,k))等于0),),
！车辆从同一点进,同一点出,
@FOR(vehicle(k):@SUM(links2(i,j,k)|i#LE#3#AND#j#GE#4
:X(i,j,k))<,等于1),！每辆车最多从一个配送中心驶出,
@FOR(facility(r):@FOR(facility(m):@SUM(links2(r,m,k)
:X(r,m,k))+Z(r)+Z(m)<,等于2)),！各配送中心无联系,
@FOR(facility(r):@SUM(links2(r,j,k)|j#GE#4:X(r,j,k))-Z(r)>,等于0),
！若某配送中心建立,则必有车辆驶出该点,
@FOR(facility(r):@FOR(vehicle(k):@SUM(links2(r,j,k)
:X(r,j,k))-Z(r)<,等于0)),！若某配送中心未建立,则无车辆驶出该点,
@FOR(demand(i)|i#GE#4:@FOR(demand(j)|j#GE#4#AND#i#NE#j
:U(i)-U(j)+(N+R1)*@SUM(vehicle(k):X(i,j,k))<,等于R1+N-1),),
！限制车辆从一个配送中心出发并返回该中心,
@FOR(links2:@BIN(X)),
@FOR(facility:@BIN(Z)),！限制X和Z为0-1变量,
@FOR(demand(i):U(i)<,等于R1+N-1),！限制引入变量U的上限,
renkou等于(@SUM(facility:Z*P)+T*@SUM(links2(i,j,k)|i#NE#j:
X(i,j,k)*P1(i,j)/Dr(i,j)))*B,
shigu等于T*@SUM(links2(i,j,k):X(i,j,k)*R(i,j))*A,
yunfei等于T*@SUM(links2(i,j,k):X(i,j,k)*D(i,j))*C1,
cheliang等于(@SUM(links2(i,j,k)|i#LE#3#AND#j#GE#4:X))*C0,
END
附录2:数据
表1各节点距离(千米)
F1F2F3123456789101112131415F1036401769123318102735202434274244F23603554392119123626810361819346038F3403506040324438232222331391510241511754600152630502030395333455251516026394015012193515173048263054525258392132261201325211315331722363548494121944301913018353020363833344150455331238503525180463618185136334248426183623201521354601331481518452730427102622301713303613018331220301833408278223930152018311801528151625413093510335348333618483315037241336513010203613332617385115122837016301220301124189453022333618201524160131230251234191552543634334530161330130162236132734105152354142271825361212160152814426024515248504830334151203022150311544381560584945424240303030253628310表2各节点连线附近居民数量(单位:万人)
F1F2F3123456789101112131415F10001.81.52.12.632.81.62.42.73.31.43.22.30.61.3F20000.82.11.73.23.642.21.61.92.83.11.20.60.91.3F30000.81.12.42.63.22.73.41.83.54.23.61.92.22.51.610.80.80.801.42.32.53.21.832.31.52.73.23.61.41.90.621.52.11.11.402.53.22.41.62.12.43.12.73.43.61.31.60.732.11.72.42.32.503.63.22.83.12.51.82.42.81.21.60.81.242.63.22.62.53.23.604.23.43.12.72.41.81.52.81.21.31.4533.63.23.22.43.24.2043.63.42.62.31.41.82.41.21.662.842.71.81.62.83.4403.23.42.52.42.81.51.71.92.171.62.23.432.13.13.13.63.202.32.63.11.41.83.11.72.282.41.61.82.32.42.52.73.43.42.302.52.81.61.82.43.12.792.71.93.51.53.11.82.42.62.52.62.501.82.12.41.40.80.5103.32.84.22.72.72.41.82.32.43.12.81.802.12.332.11.3111.43.13.63.23.42.81.51.42.81.41.62.12.101.41.72.11.2123.21.21.93.63.61.22.81.81.51.81.82.42.31.402.32.51.1132.30.62.21.41.31.61.22.41.73.12.41.431.72.300.81.2140.60.92.51.91.60.81.31.21.91.73.10.82.12.12.50.800.5151.31.31.60.60.71.21.41.62.12.22.70.51.31.21.11.20.50表3居民中心到节点连线的垂直距离(单位:千米)
F1F2F3123456789101112131415F101.32.92.62.12.51.22.22.11.51.72.51.532.31.61.21.9F21.302.22.41.91.92.92.11.92.222.51.72.22.62.22.92.6F32.92.202.61.81.82.22.71.52.52.52.31.52.22.52.42.82.512.62.42.6031.11.52.81.52.11.62.82.92.62.41.42.61.722.11.91.8301.51.61.82.82.31.52.71.31.12.62.21.62.532.51.91.81.11.501.71.82.11.111.92.11.11.51.71.91.641.22.92.21.51.61.70312.52.41.92.52.51.21.41.52.252.22.12.72.81.81.8301.92.41.31.91.92.82.81.831.162.11.91.51.52.82.111.901.21.71.92.332.41.52.92.971.52.22.52.12.31.12.52.41.202.52.12.81.81.62.91.7181.722.51.61.512.41.31.72.502.92.52.42.32.92.82.292.52.52.32.82.71.91.91.91.92.12.902.62.41.11.22.62.4101.51.71.52.91.32.12.51.92.32.82.52.6021.41.51.92.31132.22.22.61.11.12.52.831.82.42.4202.11.71.22.1122.32.62.52.42.61.51.22.82.41.62.31.11.42.102.632.3131.62.22.41.42.21.71.41.81.52.92.91.21.51.72.6021.2141.22.92.82.61.61.91.532.91.72.82.61.91.23201.8151.92.62.51.72.51.62.21.12.912.22.42.32.12.31.21.80表4节点连线的道路风险(%)
F1F2F3123456789101112131415F10000.010.020.040.050.030.040.080.050.030.060.040.070.050.040.06F20000.040.030.020.010.030.020.050.040.060.040.030.050.070.030.06F30000.050.040.060.030.040.020.050.040.020.030.010.030.020.040.0210.010.040.0500.010.020.040.010.040.050.050.030.060.040.050.060.060.0720.020.030.040.0100.010.020.040.030.050.030.0
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