特殊包装材料供应链综合计划

....问题描述 特殊包装材料制造公司供应链综合计划建模与分 一、模型的建 公用仓库模 二、LINGO编程求 只租用公用仓 只租用私人仓 综合利用公、私仓 三、结果分 四、影响决策的各类因 五、需求预测中的误差项处 当朱丽叶·威廉姆斯（JulieWilliams）离开特殊包装材料制造公司（SPC）SPC将聚苯乙烯树脂转化为食品工业使用的可回收的容器。聚苯乙烯是以它将薄片做成容器，然后修正容器。这两个步骤如图1所示。第一 第二图 特殊包装材料制造公司的生产流3SPC638小时和任何安排好今后3ⅠⅠⅠⅠⅠⅠⅠⅠⅠⅠⅠⅠ表5- 透明和黑色塑料容器的需求预3000磅原料。机器在生产透明塑料能力会损失掉。这样，机器的实际生产能力就变为每小时2850615美元，包括各种福利。加班费是正常工资的150%。每季度工人加班最多60小时。新机器会带来80000人300012500美元。如果利用闲置机器，公司在每个工人身上要花费3000美元的培训费。目前生产线上有25每小时2000磅的速度生产容器。公司给工人每小时15美元工资（包括各种福利。加班费是正常工资的150%。工人每季度最多加班60小时。每季度机器都25003000如果转包给其他制造商，公司每1000磅要支付100美元。100010带又将塑料片运送回来。公司总的运输成本是每1000磅2美元。储存费用是每季度末每1000磅付10美元-12美元不等。SPC公司每年就各项费3米4美元。一般说来，每平方米可储存1000提供者”那里租赁来的，租金是每季度每1000磅塑料3美元。为了保证这个租金水平，特殊包装材料公司必须将租约签满3年。结果，公司每季度都要付租金，5-13年预测，制定总的生产计划。第二，从下列3种选择中选出一个。如果租用私人仓库，朱丽叶必须考虑租用的平方米数。这个决策会在2001-20033年期的总体计划联系起来考虑。A1tt（t=1-12）(整数约束)B1tt季度初印模压制机雇佣人数(整数约束)C1tt季度初印模压制机解雇人数(整数约束)D1tt季度印模压制机员工数量(整数约束)O1tt季度印模压制机工人加班小时数F1tt季度塑料薄片生产数量(千磅)G1tt季度塑料薄片库存数量(千磅H1tt季度从仓库运往热熔定型压力机的塑料薄片数量(千磅)H2tt季度生产的并运往仓库的塑料薄片数量(千磅)H3tt季度生产的并运往热熔压力机的塑料薄片数量(千磅)A2tt季度热熔定型压力机使用台数(整数约束)B2tt季度初热熔定型压力机雇佣人数(整数约束)C2tt(整数约束)D2tt季度热熔定型压力机员工数量(整数约束)O2tt季度热熔定型压力机工人加班小时数F2tt季度初塑料容器生产数量(千磅)Itt季度转包数量(千磅Jtt季度初原材料采购量(千磅)Ktt季度初季末原材料库存(千磅)Q1tt季度运往仓库的成品Q2ttS2ttS1tt6A1t=D1tA2t=D2tD1t=D1t-1+B1t-C1tD2t=D2t-1+B2t-C2t3*8*63D1t+3O1t=2*8*63D2t+2O2t=Q2t+S2t=ZtZt为每季度的总需求0：Kt=Kt-1+Jt-0：0：Q1t+Q2t=F2tH1t+H3t=F2tH2t+H3t=确保先使用仓库里的库存（先进先出H1t=G1t-O1t<=60D1tO2t

M1

ᶑ15×8×63(D1t+

M2M3M4

ᶑ22.5(O1t+ᶑ3000(B1t+ᶑ2500(C1t+M5

ᶑ10

M6

ᶑ60

M7

ᶑ2(H1t+H2t+仓库储存费用（以季末库存量作为平均库存量M8

ᶑ10(Kt+G1t+仓库管理费用（以季末库存量作为平均库存量M9

ᶑ4(Jt+F1t+H1t+H2t+It+S2t+minM

ᶑA1tt（t=1-12）(整数约束)B1tt季度初印模压制机雇佣人数(整数约束)C1tt季度初印模压制机解雇人数(整数约束)D1tt季度印模压制机员工数量(整数约束)O1tt季度印模压制机工人加班小时数F1tt季度塑料薄片生产数量(千磅)G1tt季度塑料薄片库存数量(千磅H1tt季度从仓库运往热熔定型压力机的塑料薄片数量(千磅)H2tt季度生产的并运往仓库的塑料薄片数量(千磅)H3tt季度生产的并运往热熔压力机的塑料薄片数量(千磅)A2tt季度热熔定型压力机使用台数(整数约束)B2tt季度初热熔定型压力机雇佣人数(整数约束)C2tt(整数约束)D2tt季度热熔定型压力机员工数量(整数约束)O2tt季度热熔定型压力机工人加班小时数F2tt季度初塑料容器生产数量(千磅)Itt季度转包数量(千磅Jtt季度初原材料采购量(千磅)Ktt季度初季末原材料库存(千磅)Q1tt季度运往仓库的成品Q2ttS2ttS1ttWtt季度私人仓库的租用面积（租用期限为三年6A1t=D1tA2t=D2tD1t=D1t-1+B1t-C1tD2t=D2t-1+B2t-C2t3*8*63D1t+3O1t=2*8*63D2t+2O2t=Q2t+S2t=ZtZt为每季度的总需求0：Kt=Kt-1+Jt-0：0：Q1t+Q2t=F2tH1t+H3t=F2tH2t+H3t=确保先使用仓库里的库存（先进先出H1t=G1t-W(t)=H2(t)+I(t)+O1t<=60D1tO2t

M1

ᶑ15×8×63(D1t+

M2M3M4

ᶑ22.5(O1t+ᶑ3000(B1t+ᶑ2500(C1t+

M5M6

ᶑ10ᶑ60

M7

ᶑ2(H1t+H2t+令YMAX(W(t))M812*3*

minZ

8ᶑA1tt（t=1-12）(整数约束)B1tt季度初印模压制机雇佣人数(整数约束)C1tt季度初印模压制机解雇人数(整数约束)D1tt季度印模压制机员工数量(整数约束)O1tt季度印模压制机工人加班小时数F1tt季度塑料薄片生产数量(千磅)G1tt季度塑料薄片公用仓库库存数量(千磅)G2tt季度塑料薄片私人仓库库存数量(千磅H1tt季度从公用仓库运往热熔定型压力机的塑料薄片数量(千磅)H4tt季度从私人仓库运往热熔定型压力机的塑料薄片数量(千磅)H2tt季度生产的并运往公用仓库的塑料薄片数量(千磅)H5tt季度生产的并运往私人仓库的塑料薄片数量(千磅)H3tt季度生产的并运往热熔压力机的塑料薄片数量(千磅)A2tt季度热熔定型压力机使用台数(整数约束)B2tt季度初热熔定型压力机雇佣人数(整数约束)C2tt(整数约束)D2tt季度热熔定型压力机员工数量(整数约束)O2tt季度热熔定型压力机工人加班小时数F2tt季度初塑料容器生产数量(千磅)Itt季度转包数量(千磅Jtt季度初原材料采购量(千磅K1tt季度初季末原材料公用仓库库存(千磅)K2tt季度初季末原材料私人仓库库存(千磅)Q1tt季度运往公用仓库的成品Q3ttQ2ttS2tt季度运出公用仓库的成品S4tt季度运出私人仓库的成品S1tt季度成品的公用仓库库存S3tt6A1t=D1tA2t=D2tD1t=D1t-1+B1t-C1tD2t=D2t-1+B2t-C2t3*8*63D1t+3O1t=2*8*63D2t+2O2t=Q2t+S2t+S4t=ZtZt为每季度的总需求0：K1t+K2t=K1（t-1）+K2（t-1）+Jt-Q1t+Q3t+Q2t=F2tH1t+H4t+H3t=F2tH2t+H5t+H3t=确保先使用仓库里的库存（先进先出H1t+H4t=G1（t-1）+G2（t-每季度需用的仓库有效面积（假定转包的产品只存在公用仓库W(t)=H5(t)+O1t<=60D1tO2t

M1

ᶑ15×8×63(D1t+

M2M3M4

ᶑ22.5(O1t+ᶑ3000(B1t+ᶑ2500(C1t+

M5M6

ᶑ10ᶑ60

M7

ᶑ2(H1t+H4t+H2t+H5t+仓库储存费用（以季末库存量作为平均库存量M8

ᶑ10(K1t+G1t+仓库管理费用（以季末库存量作为平均库存量M9

ᶑ4(Jt+F1t+H1t+H2t+It+S2t+

令Y=MAX(W(t))M1012*3*

minM

ᶑ二、LINGO1LINGO代码!12个季度的需求量; !约束条件!1.员工与设备台数、员工数量与解雇和雇佣的关系;@for(season(t):6*A1(t)=D1(t));@for(season(t):A2(t)=D2(t));D1(t)+C1(t)-B1(t)=D1(p)));D2(t)+C2(t)-B2(t)=D2(p)));!2.产能约束@for(season(t):0.475*8*63*D1(t)+0.475*O1(t)=F1(t));@for(season(t):2*8*63*D2(t)+2*O2(t)=F2(t));!Zt为每季度的总需求!3.库存与调度分配的约束!原材料库存@for(season(p)|p#eq#1:K(p)-J(p)+F1(p)=0);@for(season(p)|p#eq#t-!塑料薄片库存!0;!成品库存!@for(season(p)|p#eq#t-@for(season(t):Q1(t)+Q2(t)=@for(season(t):H1(t)+H3(t)=@for(season(t):H2(t)+H3(t)=F1(t));@for(season(p)|p#eq#t-H1(t)=G1(p)))!确保先使用仓库里的库存!4.加班约束;@for(season(t):O1(t)@for(season(t):O2(t)!成本!1.劳动力成本;!2.加班成本!3.雇佣成本;!4.解雇成本!5.原材料成本;!6.转包成本!7.运输成本;!8.仓库储存费用GlobaloptimalsolutionObjective Objective 0.5820766E-Extendedsolver Totalsolver ReducedZ(Z(Z(Z(Z(Z(Z(Z(Z(Z(Z(Z(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(D1(-D1(D1(D1(D1(-D1(D1(D1(D1(D1(D1(-D1(-O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H2(H2(H2(H2(H2(H2(H2(H2(H2(H2(H2(H2(H3(H3(H3(H3(H3(H3(H3(H3(H3(H3(H3(H3(A2(A2(A2(A2(A2(A2(A2(A2(A2(A2(A2(A2(B2(B2(B2(B2(B2(B2(B2(B2(B2(B2(B2(B2(C2(C2(C2(C2(C2(C2(C2(C2(C2(C2(C2(C2(D2(D2(-D2(-D2(-D2(-D2(-D2(-D2(-D2(-D2(-D2(-D2(-O2(O2(O2(O2(O2(O2(O2(O2(O2(O2(O2(O2(F2(F2(F2(F2(F2(F2(F2(F2(F2(F2(F2(F2(I(I(I(I(I(I(I(I(I(I(I(I(J(J(J(J(J(J(J(J(J(J(J(J(K(K(K(K(K(K(K(K(K(K(K(K(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(S1(S1(S1(S1(S1(S1(S1(S1(S1(S1(S1(S1(S2(S2(S2(S2(S2(S2(S2(S2(S2(S2(S2(2S2(lingo代码!私人仓库模型!12个季度的需求量; !约束条件!1.员工与设备台数、员工数量与解雇和雇佣的关系;@for(season(t):6*A1(t)=D1(t));@for(season(t):A2(t)=D2(t));D1(t)+C1(t)-B1(t)=D1(p)));D2(t)+C2(t)-B2(t)=D2(p)));!2.产能约束@for(season(t):0.475*8*63*D1(t)+0.475*O1(t)=F1(t));@for(season(t):2*8*63*D2(t)+2*O2(t)=F2(t));!Zt为每季度的总需求!3.库存与调度分配的约束!原材料库存@for(season(p)|p#eq#1:K(p)-J(p)+F1(p)=@for(season(p)|p#eq#12:K(p)=0);!塑料薄片库存@for(season(p)|p#eq#t-!成品库存@for(season(t):Q1(t)+Q2(t)=@for(season(t):H1(t)+H3(t)=@for(season(t):H2(t)+H3(t)=H1(t)=G1(p)))@for(season(t):W(t)=!4.加班约束;@for(season(t):O1(t)@for(season(t):O2(t)!成本!1.劳动力成本;!2.加班成本!3.雇佣成本;!4.解雇成本!5.原材料成本;!6.转包成本!7.运输成本;!8.租金LocaloptimalsolutionObjectiveObjective0.7272592E-ExtendedsolverTotalsolverYZ(Z(Z(Z(Z(Z(Z(Z(Z(Z(Z(Z(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(D1(D1(D1(D1(D1(D1(D1(D1(D1(D1(D1(D1(O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H1(H2(H2(H2(H2(H2(H2(H2(H2(H2(H2(H2(H2(H3(H3(H3(H3(H3(H3(H3(H3(H3(H3(H3(H3(A2(A2(A2(A2(A2(A2(A2(A2(A2(A2(A2(A2(B2(B2(B2(B2(B2(B2(B2(B2(B2(B2(B2(B2(C2(C2(C2(C2(C2(C2(C2(C2(C2(C2(C2(C2(D2(D2(D2(D2(D2(D2(D2(D2(D2(D2(D2(D2(O2(O2(O2(O2(O2(O2(O2(O2(O2(O2(O2(O2(F2(F2(F2(F2(F2(F2(F2(F2(F2(F2(F2(F2(I(I(I(I(I(I(I(I(I(I(I(I(J(J(J(J(J(J(J(J(J(J(J(J(K(K(K(K(K(K(K(K(K(K(K(K(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q1(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(Q2(S1(S1(S1(S1(S1(S1(S1(S1(S1(S1(S1(S1(S2(0.5481448E-S2(S2(S2(S2(S2(S2(S2(S2(S2(S2(S2(W(W(W(W(W(W(W(W(W(W(W(W(3lingo!12个季度的需求量; !约束条件!1.员工与设备台数、员工数量与解雇和雇佣的关系;@for(season(t):6*A1(t)=D1(t));@for(season(t):A2(t)=D2(t));D1(t)+C1(t)-B1(t)=D1(p)));D2(t)+C2(t)-B2(t)=D2(p)));!2.产能约束@for(season(t):0.475*8*63*D1(t)+0.475*O1(t)=F1(t));@for(season(t):2*8*63*D2(t)+2*O2(t)=F2(t));!Zt为每季度的总需求!3.库存与调度分配的约束!原材料库存@for(season(p)|p#eq#1:K1(p)+k2(p)-J(p)+F1(p)=@for(season(p)|p#eq#12:K1(p)+k2(p)=0);@for(season(p)|p#eq#t-!塑料薄片库存!@for(season(p)|p#eq#t-!成品库存!@for(season(t):Q1(t)+Q3(t)+Q2(t)=@for(season(t):H1(t)+H4(t)+H3(t)=@for(season(t):H2(t)+H5(t)+H3(t)=H1(t)+H4(t)G1(p)+G2(p))!私人仓库面积@for(season(t):W(t)=!4.加班约束;@for(season(t):O1(t)@for(season(t):O2(t)!成本!1.劳动力成本;!2.加班成本!3.雇佣成本;!4.解雇成本!5.原材料成本;!6.转包成本!7.运输成本;!8.公共仓库储存费用!10.!目标函数GlobaloptimalsolutionObjectiveObjective0.2910383E-ExtendedsolverTotalsolverReducedYZ(Z(Z(Z(Z(Z(Z(Z(Z(Z(Z(Z(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(A1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(B1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(C1(D1(-D1(D1(-D1(-D1(-D1(-D1(-D1(-D1(-D1(-D1(-D1(-O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(O1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(F1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(G1(H1(H1(H