供应商产出不确定环境下装配系统的VMI库存决策模型研究

doi:10.16381/j.cnki.issn1003-207x.2022.2521

Abstract

Abstract:

The timely supply of various components is the key to the efficient operation for the assembly system. However， the supplier’s yield uncertainty makes the timely supply of the components unable to be guaranteed， and the insufficient supply of any kind of the component will lead to the failure of the assembly. Moreover， many assembly systems operate under vendor-managed inventory （VMI） mode， which makes production decisions more difficult for the supplier whose yield is uncertain. Thus， the suppliers’ production decisions in the assembly system are studied under VMI mode while considering yield uncertainty. An assembly system with two suppliers and one assembler is constructed， and the system operates under VMI. Two different situations are analyzed： Only one supplier’s yield is uncertain and both suppliers’ yields are uncertain. In each situation， the assembler’s commitment order quantity contract and the supplier’s replenishment strategy are adopted separately in an attempt to improve the performance of the assembly system. Both suppliers’ optimal input decisions in different cases are obtained. On this basis， the effects of the assembler’s commitment order quantity contract and suppliers’ replenishment strategy on the suppliers’ optimal input quantities and the assembly system members’ expected profits are discussed. The results show that： in the two situations， the assembly system can achieve a Pareto improvement under specific conditions after introducing the commitment order quantity contract； when only one supplier’s yield is uncertain， for any given commitment order quantity higher than the market demand， there exists a corresponding boundary value of the shortage cost， and if the actual shortage cost exceeds this boundary， the assembler can obtain a higher expected profit by introducing the commitment order quantity contract； the supplier’s replenishment strategy can always lead to a Pareto improvement of the assembly system. Furthermore， main conclusions are verified by numerical analysis. In general， the cooperation schemes provided in this paper can effectively cope with the supplier’s yield uncertainty in the assembly system and it is expected to improve the competitiveness of the assembly system in practice.

Key words: yield uncertainty, VMI, commitment order quantity contract, replenishment, assembly system

CLC Number:

F273

Jianhu Cai,Zhengang Cao,Qian Zhou, et al. Research on VMI Inventory Decision Model for Assembly System under Supplier's Yield Uncertainty[J]. Chinese Journal of Management Science, 2025, 33(10): 197-211.

Figures/Tables 12

参数

$6 c 1 w 1 + k 1 ≤ 3 - 2 6 c 2 w 2 + k 2$

且 $w 2 + k 2 > 6 c 2$

$6 c 2 w 2 + k 2 ≤ 3 - 2 6 c 1 w 1 + k 1$

且 $w 1 + k 1 > 6 c 1$

$6 c 1 w 1 + k 1 > 3 - 2 6 c 2 w 2 + k 2$

且 $w 2 + k 2 > 6 c 2$

6 c 2 w 2 + k 2 > 3 - 2 6 c 1 w 1 + k 1

且

w 1 + k 1 > 6 c 1

$w 1 + k 1 < 6 c 1$

且 $w 2 + k 2 < 6 c 2$

q 1 *

> d

> d

= d

> d

= d

q 2 *

> d

> d

> d

= d

= d

$c 1'$ 满足的关系	$q 1 *$ 与 $d$ 的关系	$q 1 *$
$c 1' > 6 c 1 3 - 2 2 c 2 w 2 + k 2$	$q 1 * > d$	$d c 1' 3 - 2 2 c 2 w 2 + k 2 / (6 c 1)$
$c 1' > 6 c 1 3 - 2 2 c 2 w 2 + k 2$	$q 1 * ≤ d$	$d$
$2 c 1 < c 1' < 6 c 1 3 - 2 2 c 2 w 2 + k 2$	$q 1 * ≥ d$	$d$
$2 c 1 < c 1' < 6 c 1 3 - 2 2 c 2 w 2 + k 2$	$q 1 * < d$	$3 d c 1' - 2 c 1 w 2 + k 2 2 c 2 / (2 c 1')$
$c 1 < c 1' < 2 c 1$	$q 1 * ≥ d$	$d$
$c 1 < c 1' < 2 c 1$	$q 1 * < d$	$0$

$c 1'$	4	6	8	10	12	…	33	35
$q 1 *$	0	0	0	223.6	244.9	…	406.2	418.3
$Γ s 1 * q 1 *$	5600	5200	4800	4611.1	4440.4	…	3150.4	3053.4

组别	$w 1$	$w 2$	$k m$	$q 1 *$	$q 2 *$	供应商1	供应商2	装配商	装配系统
1	19	39	3	219.4	237.2	189.1	1035.1	2809.7	4033.0
2	24	29	3	220.9	208.8	446.8	306.5	2975.1	3728.4
3	19	33	3	200	202.8	76.6	466.9	2823.1	3366.6
4	23	29	3	208.1	200	334.7	243.2	2866.7	3444.6
5	19	29	3	200	200	66.7	200.0	3066.7	3333.4

组别	参数	200	220	240	260	280	300	320	340	360	380	400
第1组	$q 1 *$	331.7	360.5	389.6	419	448.6	478.3	508.1	538.1	568.2	598.3	628.5
	$q 2 *$	378.6	413.1	447.8	482.7	517.8	553	588.3	623.7	659.2	694.7	730.3
	$τ s 1$	2469.4	2734.1	2997.5	3260.1	3521.8	3782.9	4043.5	4303.6	4563.4	4822.8	5082
	$τ s 2$	5522.4	6095.5	6667.1	7237.6	7807.1	8375.9	8944	9511.6	10078.9	10645.7	11212.2
	$τ m$	2141.1	1943.4	1679.5	1357.5	984.6	567.5	111.8	-377.7	-896.6	-1441.5	-2009.3
第2组	$q 1 *$	367.4	400.2	433.4	466.7	500.2	533.9	567.6	601.5	635.5	669.5	703.6
	$q 2 *$	331.7	361	390.6	420.4	450.3	480.5	510.7	541	571.4	601.9	632.5
	$τ s 1$	3326.3	3675	4022.6	4369.2	4715.2	5060.6	5405.5	5750	6094.2	6438.1	6781.8
	$τ s 2$	3804	4208.2	4610.7	5011.9	5412	5811.3	6209.9	6607.9	7005.4	7402.5	7799.3
	$τ m$	2891.4	2782.8	2608.2	2375.5	2091.8	1763.7	1396.9	996.1	565.6	109	-370.6
第3组	$q 1 *$	331.7	360.5	389.6	419	448.6	478.3	508.1	538.1	568.2	598.3	628.5
	$q 2 *$	351.2	382.7	414.4	446.4	478.5	510.7	543.1	575.5	608.1	640.7	673.3
	$τ s 1$	2469.4	2734.1	2997.5	3260.1	3521.8	3782.9	4043.5	4303.6	4563.4	4822.8	5082
	$τ s 2$	4486.9	4958	5427.6	5895.9	6363.2	6829.7	7295.5	7760.8	8225.7	8690.1	9154.2
	$τ m$	2906.3	2815.8	2660.8	2448.5	2185.9	1879.1	1533.7	1154.4	745.2	309.9	-148.7
第4组	$q 1 *$	360.6	392.6	425	457.5	490.3	523.2	556.2	589.4	622.6	655.9	689.2
	$q 2 *$	331.7	361	390.6	420.4	450.3	480.5	510.7	541	571.4	601.9	632.5
	$τ s 1$	3153.8	3485.5	3816.1	4145.8	4474.8	4803.2	5131.1	5458.5	5785.7	6112.6	6439.2
	$τ s 2$	3804	4208.2	4610.7	5011.9	5412	5811.3	6209.9	6607.9	7005.4	7402.5	7799.3
	$τ m$	2996.9	2906.3	2750.1	2536.1	2271.3	1962.2	1614.2	1232.4	820.8	382.9	-78
第5组	$q 1 *$	331.7	360.5	389.6	419	448.6	478.3	508.1	538.1	568.2	598.3	628.5
	$q 2 *$	331.7	361	390.6	420.4	450.3	480.5	510.7	541	571.4	601.9	632.5
	$τ s 1$	2469.4	2734.1	2997.5	3260.1	3521.8	3782.9	4043.5	4303.6	4563.4	4822.8	5082
	$τ s 2$	3804	4208.2	4610.7	5011.9	5412	5811.3	6209.9	6607.9	7005.4	7402.5	7799.3
	$τ m$	3369.2	3349.2	3266.2	3126.9	2937.6	2704.4	2432.5	2126.7	1790.9	1428.6	1042.9

References 24

[1]	吉清凯，胡祥培，郭强，等. 随机供需条件下装配商的订购-定价联合决策问题［J］. 中国管理科学， 2018， 26（10）： 113-122.
	Ji Q K， Hu X P， Guo Q， et al. Optimal joint ordering-pricing decisions for an assembler under random supply and demand［J］. Chinese Journal of Management Science， 2018， 26（10）： 113-122.
[2]	关旭，马士华，应丹丰. 基于库存分担策略的装配系统准时供货模型研究［J］. 中国管理科学， 2013， 21（4）： 44-52.
	Guan X， Ma S H， Ying D F. On-time delivery model in a ‘N to 1’ assembly system with inventory sharing policy［J］. Chinese Journal of Management Science， 2013， 21（4）： 44-52.
[3]	蔡建湖，韩毅，王丽萍. 供应商管理库存环境下一个装配系统的两次生产模式［J］. 计算机集成制造系统， 2010， 16（7）： 1515-1521.
	Cai J H， Han Y， Wang L P. Twice production mode of an assembly system under vendor managed inventory［J］. Computer Integrated Manufacturing Systems， 2010， 16（7）： 1515-1521.
[4]	吉清凯，胡祥培，赵达. 两类供应风险下装配商的最优订购策略［J］. 运筹与管理， 2022， 31（1）： 8-13.
	Ji Q K， Hu X P， Zhao D. Optimal OrderingPolicy for an assembler with two types of supply uncertainties［J］. Operations Research and Management Science， 2022， 31（1）： 8-13.
[5]	李金霖，高杰，孙林岩. 考虑需求波动和产能调整成本的混流装配线平衡问题［J］. 系统工程理论与实践， 2014， 34（1）： 70-76.
	Li J L， Gao J， Sun L Y. Balancing mixed model assembly line with capacity adjustment to satisfy uncertain demands［J］. Systems Engineering-Theory & Practice， 2014， 34（1）： 70-76.
[6]	Chica M， Bautista J， Cordón Ó， et al. A multiobjective model and evolutionary algorithms for robust time and space assembly line balancing under uncertain demand［J］. Omega， 2016， 58： 55-68.
[7]	应丹丰，马士华，关旭. 双重供货模式下的装配系统协调机制设定与优化［J］. 系统工程理论与实践， 2014， 34（3）： 691-700.
	Ying D F， Ma S H， Guan X. Coordination in assembly system under dual supply modes［J］.Systems Engineering- Theory & Practice，2014，34（3）： 691-700.
[8]	蔡建湖，胡晓青，张玉洁，等. VMI环境下的供应链管理［M］. 北京：经济科学出版社， 2019.
	Cai J H， Hu X Q， Zhang Y J， et al. Supply chain management in VMI environment［M］. Beijing： Economic Science Press， 2019.
[9]	蔡建湖，周青，胡晓青，等. 供应链管理：竞争与合作理论及方法［M］. 北京：经济科学出版社， 2022.
	Cai J H， Zhou Q， Hu X Q， et al. Supply chain management［M］. Beijing： Economic Science Press， 2022.
[10]	Yu H， Tang L， Xu Y， et al. How much does VMI better than RMI in a global environment？［J］. International Journal of Production Economics，2015，170： 268-274.
[11]	Mateen A， Chatterjee A K， Mitra S. VMI for single-vendor multi-retailer supply chains under stochastic demand［J］. Computers & Industrial Engineering， 2015， 79： 95-102.
[12]	曲佳莉，胡本勇. 供应和需求不确定下考虑收益共享合约的供应链决策优化与协调研究［J］. 电子科技大学学报（社科版）， 2017， 19（4）： 57-61+68.
	Qu J L， Hu B Y. Optimization and coordination of supply chain with revenue sharing contracts under supply and demand uncertainty［J］. Journal of University of Electronic Science and Technology of China （Social Sciences Edition）， 2017， 19（4）： 57-61+68.
[13]	Cai J， Zhong M， Shang J， et al. Coordinating VMI supply chain under yield uncertainty： Option contract， subsidy contract， and replenishment tactic［J］. International Journal of Production Economics，2017，185： 196-210.
[14]	全春光，刘志学，邹安全，等. 随机需求下单供应商两分销商VMI协调策略［J］. 系统工程理论与实践， 2013， 33（7）： 1801-1812.
	Quan C G， Liu Z X， Zou A Q， et al. Coordination policy of VMI with one supplier and two distributors under stochasic demand［J］. Systems Engineering-Theory & Practice， 2013， 33（7）： 1801-1812.
[15]	范琛，王效俐，丁超，等. VMI供应链下考虑补货策略的契约设计［J］. 中国管理科学， 2015， 23（2）： 92-98.
	Fan C， Wang X L， Ding C， et al. On contracts with risk share for VMI program under replenishment strategy［J］. Chinese Journal of Management Science， 2015， 23（2）： 92-98.
[16]	Xiao W， Li K， Fu H. Quality investment in a decentralized assembly system with backward shareholding［J］. International Journal of Production Economics， 2021， 242： 108291.
[17]	Wang S， Song H， Shi V， et al. Quality investment strategies in a complementary supply chain with an unreliable supplier［J］. Journal of Industrial and Management Optimization， 2023， 19（8）： 5641-5670.
[18]	王先甲，肖露，关旭，等. 非对称供应成本信息下装配系统定价与供货策略研究［J］. 系统工程理论与实践， 2015， 35（7）： 1689-1697.
	Wang X J， Xiao L， Guan X， et al. Research on pricing and supply strategies in assembly system under asymmetric cost information［J］. Systems Engineering-Theory & Practice， 2015， 35（7）： 1689-1697.
[19]	吕飞，马士华. 供应商成本信息不对称下装配系统协同问题研究［J］. 运筹与管理， 2017， 26（2）： 57-67.
	Lv F， Ma S H. Research on coordination problem of assembly system with asymmetric supplier’s cost information［J］. Operations Research and Management Science， 2017， 26（2）： 57-67.
[20]	Liu S， So K C， Zhao W. Direct supply base reduction in a decentralized assembly system with suppliers of varying market power［J］. IISE Transactions， 2022， 54（6）： 590-602.
[21]	Zhou C， Tang W， Lan Y. Supply chain contract design of procurement and risk-sharing under random yield and asymmetric productivity information［J］. Computers & Industrial Engineering， 2018， 126： 691-704.
[22]	杜建国，蒲天峰，朱晓雯. 产需双重不确定情形下绿色农产品供应链的协调研究［J］. 生态经济， 2021， 37（1）： 103-110.
	Du J G， Pu T F， Zhu X W. Research on coordination of green agricultural products supply chain under double uncertainty of production and demand［J］. Ecological Economy， 2021， 37（1）： 103-110.
[23]	Wang J， Zhang Q， Hou P. Implications of credit default and yield uncertainty on supply chain’s equilibrium financial strategy［J］. Annals of Operations Research， 2022， 315（1）： 507-533..
[24]	王先甲，张丹. 基于CVaR的装配系统契约与协调［J］. 系统工程， 2016， 34（5）： 72-76.
	Wang X J， Zhang D. Contracts and coordination in assembly system based on conditional value-at-risk［J］. Systems Engineering， 2016， 34（5）： 72-76.

Research on VMI Inventory Decision Model for Assembly System under Supplier's Yield Uncertainty

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 12

References 24

Related Articles 15

Metrics

Comments

Recommended 0

[1]	Qingming Zou,Chun Liu,Yu Cao. Carbon Emission Reduction and Financing Policy of Low-carbon Supply Chain with Yield Uncertainty and Fairness Concerns under Carbon Cap-and-Trade Mechanism [J]. Chinese Journal of Management Science, 2024, 32(9): 248-259.
[2]	Sirui Wang,Lin Wang,Lu Peng,Jinlong Zhang. Coordinated Optimization of Joint Replenishment and Delivery Scheduling with Heterogenous Items Based on Lipschitz Continuity [J]. Chinese Journal of Management Science, 2024, 32(5): 218-228.
[3]	Ligang Cui,Xiaolin Liu,Jie Deng,Dongyang Xu. Stochastic Multi-item Joint Replenishment Problem Considering Trade Creditunder China-Europe Trade [J]. Chinese Journal of Management Science, 2024, 32(4): 76-88.
[4]	JI Shou-feng, LIU Hong-yu, ZHAO Peng-yun, JI Ting-ting. Model and Algorithm of Dynamic Inventory Replenishment Based on Physical Internet [J]. Chinese Journal of Management Science, 2023, 31(2): 205-214.
[5]	CAO Yu, XU Rong-liang, HU Han-li, LI Qing-song. Joint Replenishment Strategy of Vending Machines in Unmanned Retail Industry [J]. Chinese Journal of Management Science, 2021, 29(11): 179-190.
[6]	ZHANG Ke-hui, YANG Hua-long, XIN Yu-chen, LIU Qing-qi. Multi-item/Two-stage JIT Joint Replenishment Considering Customer Response to Stock-out [J]. Chinese Journal of Management Science, 2020, 28(10): 118-130.
[7]	ZHANG Ling-rong, CUI Chun-yue, LI Yun-feng. Collaborative Replenishment Decision Base on Supply-hub in Uncertain Environment [J]. Chinese Journal of Management Science, 2020, 28(1): 89-100.
[8]	LIU Jia-guo, WANG Jun-jin, ZHOU Jin-xia, LIU Fan. Research on Supply Chain Contract Coordination of Different Replenishment Strategies under Uncertain Environment [J]. Chinese Journal of Management Science, 2019, 27(9): 68-79.
[9]	HUANG Jian-hui, LIN Qiang. Government Subsidy Mechanism in Contract-farming Supply Chain Financing under Loan Guarantee Insurance and Yield Uncertainty [J]. Chinese Journal of Management Science, 2019, 27(3): 53-65.
[10]	ZHANG Yun-feng, WANG Yong, GONG Ben-gang, DAN Bin. The Level Coordination for the Ameliorating Items Supply Chain Considering Ordering Coordination Cost and Quantity Discount [J]. Chinese Journal of Management Science, 2019, 27(12): 55-66.
[11]	YE Yin-fang, LI Deng-feng, YU Gao-feng. Joint Replenishment Interval-Valued EOQ Model and Cost Allocation Approach Based on Variable-weighted Shapely Value [J]. Chinese Journal of Management Science, 2019, 27(10): 90-99.
[12]	CHEN Jing, CHEN Jing-xian, WEI Hang. A Business Insurance Strategy against Risks from Yield Uncertainty of Raw Materials for Farm and Sideline Products Production [J]. Chinese Journal of Management Science, 2018, 26(6): 39-50.
[13]	CUI Li-gang, DENG Jie, WANG Lin, ZHANG Jin-Long, XU Mao-zeng. A Study on the RFID Investment Decision Model for the Revised Joint Replenishment and Delivery Problem [J]. Chinese Journal of Management Science, 2018, 26(5): 86-97.
[14]	TIAN Xin, LUO Chun-lin, WANG Shou-yang, CHEN Qing-hong, LU Mei-hong. A T-type Replenishment Strategy for Optimizing Logistics Operations of Retail Industry [J]. Chinese Journal of Management Science, 2018, 26(4): 78-87.
[15]	JI Qing-kai, HU Xiang-pei, GUO Qiang, ZHAO Da. Optimal Joint Ordering-Pricing Decisions for An Assembler under Random Supply and Demand [J]. Chinese Journal of Management Science, 2018, 26(10): 113-122.