Journal of Textile Research ›› 2022, Vol. 43 ›› Issue (07): 170-177.doi: 10.13475/j.fzxb.20210608808

• Apparel Engineering • Previous Articles     Next Articles

Design of global textile supply chain network with rules of origin

MAO Mao, WANG Changjun()   

  1. The Glorious Sun School of Business and Management, Donghua University, Shanghai 200051, China
  • Received:2021-06-30 Revised:2022-03-29 Online:2022-07-15 Published:2022-07-29
  • Contact: WANG Changjun E-mail:cjwang@dhu.edu.cn

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Abstract:

In order to maximize the profit from global supply chain networks of textile companies, a mixed integer nonlinear programming model based on the rules of origin was developed, where the critical decisions, such as factory layout, supplier selection, production and transportation, were taken into account. For optimization, the proposed model was equivalently linearized into a tractable linear model and an algorithm based on Benders decomposition was designed. The experiments were implemented based on various trading regulation arrangements, especially the regional cumulative rule of origin involved in the coming Regional Comprehensive Economic Partnership agreement. Their influences on the companies' cross-border supply chain network design and profits were investigated. The results show that the increase of the proportion requirement for rules of origin will lead to the decline of enterprise profits, and under the regional cumulative rules of origin, enterprises can make more free decisions on site selection and production and procurement, which is conducive to the realization of the optimal allocation of global supply chain.

Key words: global textile supply chain network, rules of origin, Regional Comprehensive Economic Partnership (RCEP) agreement, mixed integer programming, Benders decomposition

CLC Number: 

  • C931

Fig.1

Supply chain network diagram of cross border textile"

Tab.1

Set description"

集合与索引 说明
I,i 供应商待选点集合与索引,i∈I
J,j 工厂待选点集合与索引,j∈J
K,k 分销商节点集合与索引,k∈K
L,l 国家集合与索引,l∈L
M,m 原材料集合与索引,m∈M

Tab.2

Parameter description"

参数 说明
xil 国家l中供应商i的选择成本
cmil 国家l中供应商.i.的第m种原材料的售价
hmil 国家l中供应商i的供货能力
yjl 国家l中工厂j的固定选择成本
ujl 国家l中工厂j的单位建设成本
gjl 国家l中工厂j的单位生产成本
pjl 国家l中工厂j出售的产成品的单位售价
dkl 国家l中分销商k的产成品需求
skl 国家l中分销商k的单位缺货代价
qmiljl' 每单位原材料m从l国供应商i运输至l'国工厂j的运输费用
vjlkl' 每单位产成品从l国工厂j运输至l'国分销商k的运输费用
v j l l ' + 当l国工厂j出口至l'国的产成品不满足l'国的原产比例要求时,需要承担的额外关税
rl'l 国家l'对于国家l的产成品的原产比例要求
γm 每单位产成品所需的原材料m的数量

Tab.3

Decision variables description"

决策变量 说明
Xil 表示国家l中的供应商i是否被选择,被选中时,Xil=1,否则,Xil=0
Yjl 表示国家l中工厂待选点j是否被选择,被选中时,Yjl=1,否则,Yjl=0
Ujl 用于确定l国工厂待选点j的生产能力
Gjl 表示l国工厂待选点j产成品的生产数量
Qmiljl' 表示l国供应商i向l'国工厂待选点j提供原材料m的数量
Amiljl'l″ 表示l'国工厂待选点j出口至l″国的产成品中由l国供应商i提供的原材料m的数量
Vjlkl' 表示l国工厂待选点j对l'国分销商k的供货量
Rjll' 表示l国的工厂待选点j生产的产成品是否满足l'国的原产地比例要求,当满足原产地比例要求时,Rjll'=1,否则,Rjll'=0
Skl 表示l国分销商k的缺货数量

Fig.2

Flow chart of Benders decomposition algorithm"

Tab.4

Supplier related data (selection cost, raw material price and supply capacity)"

供应商 xil/美元 c1il/(美元·kg-1) c2il/(美元·kg-1) c3il/(美元·kg-1) h1il/kg h2il/kg h3il/kg
CHN(1) 91.50 3.36 5.34 4.27 86 500 48 000 12 000
CHN(2) 114.38 3.20 5.49 4.42 79 500 52 000 22 000
IND(1) 198.25 2.75 4.27 3.97 76 500 46 000 8 650
IND(2) 205.88 2.90 4.42 3.81 77 000 47 500 10 500
AUS(1) 221.13 — 4.88 — — 35 000 —
AUS(2) 228.75 — 5.03 — — 36 000 —
VIE(1) 137.25 — 4.58 — — 27 000 —
VIE(2) 129.63 — 4.73 — — 22 000 —
MYA(1) 129.63 — 4.42 — — 24 500 —
MYA(2) 122.00 — 4.73 — — 23 000 —
PRK(1) 122.00 3.51 — 4.42 56 500 — 7 500
PRK(2) 137.25 3.66 — 4.58 42 500 — 6 350
JPN(1) 137.25 3.81 — 4.42 25 600 — 3 500
JPN(2) 144.88 3.51 — 4.42 35 000 — 4 200
INA(1) 205.88 2.90 — 3.51 23 500 — 4 300
INA(2) 198.25 3.20 — 3.81 35 500 — 4 850
THA(1) 137.25 3.05 — 3.66 16 500 — 4 550
THA(2) 152.50 3.05 — 3.81 18 500 — 3 450

Tab.5

Factory related data (selection cost, construction cost, production cost)"

工厂 yjl/美元 ujl/(美元·kg-1) gjl/(美元·kg-1)
VIE_1 48 800.00 0.99 2.23
VIE_2 44 225.00 0.98 2.32
MYA_1 42 700.00 0.96 2.17
MYA_2 41 937.50 1.01 2.10
INA_1 48 800.00 1.01 1.86
INA_2 50 325.00 1.02 1.88
THA_1 50 325.00 1.04 2.35
THA_2 46 512.50 1.11 2.27
CAM_1 39 650.00 0.95 1.89
CAM_2 38 125.00 0.96 1.83

Tab.6

Distributor related data (demand, out of stock cost, tariff)"

分销商 d1l/kg d2l/kg s1l/
(美元·kg-1)		 s2l/
(美元·kg-1)		 关税/%
VIE MYA INA THA CAM
CHN 20 000 22 200 3.54 3.93 0.16 0.16 0.16 0.16 0.16
PRK 10 500 11 000 1.86 1.95 0.13 0.13 0.13 0.13 0.13
JPN 7 500 8 500 1.33 1.51 0.128 0.128 0.128 0.128 0.128
INA 13 500 12 000 2.39 2.12 0.15 0.15 0 0.15 0.15
THA 13 000 15 000 2.30 2.65 0.3 0.3 0.3 0 0.3
VIE 10 500 12 000 1.86 2.12 0 0.2 0.2 0.2 0.2
CAM 10 500 13 500 1.86 2.39 0.15 0.15 0.15 0.15 0
MYA 12 500 15 000 2.21 2.65 0.1 0 0.1 0.1 0.1
LAO 11 000 9 500 1.95 1.68 0.1 0.1 0.1 0.1 0.1

Tab.7

Optimal solution and optimal decision in different scenarios"

场景
编号		 决策结果 成本/美元
工厂选址 供应商选择 利润/美元 额外征收
关税		 工厂布局
成本		 生产成本 采购成本 运输成本
1 VIE_2,MYA_2,INA_1,THA_2,CAM_2 IND(1),IND(2),VIE(1),MYA(1),INA(1),THA(1),THA(2) 61 601.40 262 191.76 445 993.59 448 763.97 776 001.68 193 165.80
2 MYA _2 IND(1),IND(2),MYA(1),THA(1),THA(2) 455 772.27 0 271 133.14 479 200.28 768 622.20 212 523.18
3 CAM_2 IND(1),IND(2),VIE(1),MYA(1),INA(1),THA(1),THA(2) 511 909.70 0 256 890.79 416 695.89 770 135.72 230 854.70

Tab.8

Purchasing decision of raw materials in different scenarioskg"

供应商 Q1 Q2 Q3
场景1 场景2 场景3 场景1 场景2 场景3 场景1 场景2 场景3
IND(1) 76 500 76 500 76 500 30 709 46 000 46 000 0 0 0
IND(2) 6 174 46 174 6 174 0 4 641 0 0 3 385 0
VIE(1) 0 0 0 19 932 0 4 641 0 0 0
MYA(1) 0 0 0 24 500 24 500 24 500 0 0 0
INA(1) 23 500 0 23 500 0 0 0 4 300 0 4 300
THA(1) 16 500 0 16 500 0 0 0 4 550 4 550 4 550
THA(2) 18 500 18 500 18 500 0 0 0 2 535 3 450 2 535

Fig.3

Sensitivity analysis based on proportion requirement of rules of origin"

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