天津科技大学物流布局规划与设计课程设计2

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1、天津科技大学课程设计一、方案设计1、利用重心法进行配送中心选址先在地图上建立直角坐标系，为方便测量与计算，选取怀化与永州两市的垂直交点为原点，如此，两市的横、纵坐标分别为零（如图1），并测量各市在此直角坐标系下的坐标（如表一）。图1建立坐标系测距表一湖南省各市坐标城市XY岳阳379.8613.8长沙360.4489.4湘潭364.5440.4株洲385.2442.2衡阳324.8338.1永州236.3288.6邵阳218.3382.3益阳303.6525.6常德245.0579.7怀化78.0414.9娄底275.1433.2冷水江216.5429.7张家界117.95

2、92.36天津科技大学课程设计利用重心法进行合理选址，找出配送中心坐标。根据重心法初始公式（公式一）其中，——配送中心到客户i的运费率——配送中心到客户i的运输量进行初次计算表二初次计算结果序号i城市费率ai需求量wi坐标xi坐标yiaiwixiaiwiyiaiwi1岳阳1.52000379.8613.81139400184140030002长沙1.43500360.4489.41765960239806049003湘潭1.42500364.5440.41275750154140035004株洲1.43000385.2442.21617840185724042005衡阳1

3、.34000324.8338.11688960175812052006永州1.21000236.3288.628356034632012007邵阳1.35000218.3382.31418950248495065008益阳1.41000303.6525.642504073584014009常德1.44000245579.713720003246320560010怀化1.2350078414.93276001742580420011娄底1.31500275.1433.2536445844740195012冷水江1.42000216.5429.7606200120316028

4、0013张家界1.41500117.9592.324759012438302100和127052952124396046550坐标X0Y0272.9386681456.3686359利用公式进行多次迭代，比较结果。（公式二）其中——配送中心到需求地i的直线距离。6天津科技大学课程设计(公式三）表三历次迭代的d值D1D2D3D4D5D6190.2734313193.6579485195.5275259196.5311084197.120691197.504033293.4909385790.8435802290.8473700391.307843291.7465508992

5、.0891493992.9433958585.4018015783.4740569283.2181114583.3650046583.56325566113.1519195105.916034104.0853937103.8633089104.0246108104.2304917129.1397227119.044234115.4509039114.1970273113.72171113.5042821171.7227626165.3005791162.6867791161.5162226160.9086566160.541000392.0410064789.879271

6、2788.7658189588.0104011487.483110687.1093199575.7172308881.1093238983.6851055384.8623648885.4698638785.83568532126.456295135.9685565139.4844537140.7665736141.2875448141.5461599199.3006073204.1808618205.3669193205.3779535205.1303344204.879916123.2692295515.5885722513.2452938212.2242070911.

7、637464211.2537645562.4222668365.6054956366.433357566.3431412966.0576939365.78884619206.19002216.5016772219.8948916220.8958727221.1648714221.2289174表四历次迭代的优化点坐标迭代次数坐标X坐标Y0272.9386681456.36863591279.4522759448.16867662281.1517896444.98192053281.3476254443.7070654281.1