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A three-echelon supply chain with asymmetric information under uncertainty

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Abstract

This paper investigates a three-echelon supply chain problem in which multiple suppliers, a single manufacturer and a single retailer are participants. The manufacturer selects suppliers and estimates quantity of defective components purchased from the suppliers, but the quality information is unavailable for the manufacture due to asymmetric information. In addition, customers’ demands could not be predicated accurately either. Under this circumstance, quantity of defective components and demands of customers are all characterized as uncertain variables according to real trade. Based on uncertainty theory, three models under different criteria such as expected value criterion, chance-constrained one and measure-chance one are constructed for the problem and corresponding solution approach is proposed as well under uncertain environment. Finally, some numerical examples are given to show the applications of the problem.

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References

  • Bag S (2013) A fuzzy supply chain model for defective items. Int J Eng Res Technol 2(12):3450–3468

    Google Scholar 

  • Chen X (2015) Uncertain calculus with finite variation processes. Soft Comput 19(10):2905–2912

    Article  MATH  Google Scholar 

  • Chen L, Peng J, Zhang B (2017) Uncertain goal programming models for bicriteria solid transportation problem. Appl Soft Comput 51:49–59

    Article  Google Scholar 

  • Chen Z, Lan Y, Zhao R (2018) Impacts of risk attitude and outside option on compensation contracts under different information structures. Fuzzy Optim Decis Mak 17(1):13–47

    Article  MathSciNet  MATH  Google Scholar 

  • Deng L, Zhu Y (2012) An uncertain optimal control model with n jumps and application. Comput Sci Inf Syst 9(4):1453–1468

    Article  Google Scholar 

  • Devangan L, Amit R, Mehta P, Swami S, Shanker K (2013) Individually rational buyback contracts with inventory level dependent demand. Int J Prod Econ 142(2):381–387

    Article  Google Scholar 

  • Esmaeili M, Zeephongsekul P (2010) Seller–buyer models of supply chain management with an asymmetric information structure. Int J Prod Econ 123(1):146–154

    Article  Google Scholar 

  • Feng J, Lan Y, Zhao R (2017) Impact of price cap regulation on supply chain contracting between two monopolists. J Ind Manag Optim 13(1):347–371

    MathSciNet  MATH  Google Scholar 

  • Gao J, Yao K (2015) Some concepts and theorems of uncertain random process. Int J Intell Syst 30(1):52–65

    Article  Google Scholar 

  • Gao R (2016) Milne method for solving uncertain differential equations. Appl Math Comput 274:774–785

    MathSciNet  MATH  Google Scholar 

  • Hou J, Zeng A, Zhao L (2010) Coordination with a backup supplier through buy-back contract under supply disruption. Transp Res Part E Logist Transp Rev 46(6):881–895

    Article  Google Scholar 

  • Kao C, Hsu W (2002) A single-period inventory model with fuzzy demand. Comput Math Appl 43(6–7):841–848

    Article  MathSciNet  MATH  Google Scholar 

  • Ke H, Su T, Ni Y (2015) Uncertain random multilevel programming with application to product control problem. Soft Comput 19(6):1739–1746

    Article  MATH  Google Scholar 

  • Lau A, Lau H, Zhou Y (2007) A stochastic and asymmetric-information framework for a dominant-manufacturer supply chain. Eur J Oper Res 176(1):295–316

    Article  MATH  Google Scholar 

  • Lan Y, Zhao R, Tang W (2015) An inspection-based price rebate and effort contract model with incomplete information. Comput Ind Eng 83:264–272

    Article  Google Scholar 

  • Lan Y, Liu Z, Niu B (2017) Pricing and design of after-sales service contract: the value of mining asymmetric sales cost information. Asia Pac J Oper Res 34(1):1740002

    Article  MathSciNet  MATH  Google Scholar 

  • Lei D, Li J, Liu Z (2012) Supply chain contracts under demand and cost disruptions with asymmetric information. Int J Prod Econ 139(1):116–126

    Article  Google Scholar 

  • Li L, Kabadi S, Nair K (2002) Fuzzy models for single-period inventory problem. Fuzzy Sets Syst 132(3):273–289

    Article  MathSciNet  MATH  Google Scholar 

  • Li R, Liu G (2017) An uncertain goal programming model for machine scheduling problem. J Intell Manuf 28(3):689–694

    Article  Google Scholar 

  • Liu B (2007) Uncertainty theory, 2nd edn. Springer, Berlin

    MATH  Google Scholar 

  • Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3(1):3–10

    Google Scholar 

  • Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, Berlin

    Book  Google Scholar 

  • Liu B (2010) Uncertain risk analysis and uncertain reliability analysis. J Uncertain Syst 4(3):163–170

    Google Scholar 

  • Liu Y, Ralescu D (2017) Value-at-risk in uncertain random risk analysis. Inf Sci 391–392:1–8

    MathSciNet  Google Scholar 

  • Shen J, Zhu Y (2016) Scheduling in a two-stage supply chain with uncertain parameters. J Intell Fuzzy Syst 30(6):3439–3449

    Article  MATH  Google Scholar 

  • Sheng L, Zhu Y, Hamalaonen T (2013) An uncertain optimal control with Hurwicz criterion. Appl Math Comput 224:412–421

    MathSciNet  MATH  Google Scholar 

  • Sheng Y, Gao J (2016) Exponential stability of uncertain differential equation. Soft Comput 20:3673–3678

    Article  MATH  Google Scholar 

  • Sun Y, Zhu Y (2017) Bang-bang property for an uncertain saddle point problem. J Intell Manuf 28(3):605–613

    Article  Google Scholar 

  • Tse Y, Tan K (2012) Managing product quality risk and visibility in multi-layer supply chain. Int J Prod Econ 139(1):49–57

    Article  Google Scholar 

  • Wang X, Lan Y, Tang W (2017) An uncertain wage contract model for risk-averse worker under bilateral moral hazard. J Ind Manag Optim 13(4):1815–1840

    MathSciNet  MATH  Google Scholar 

  • Yan H, Zhu Y (2015) Bang-bang control model for uncertain switched systems. Appl Math Model 39(10–11):2994–3002

    Article  MathSciNet  Google Scholar 

  • Yang X, Gao J, Kar S (2016) Uncertain calculus with Yao process. IEEE Trans Fuzzy Syst 24(6):1578–1585

    Article  Google Scholar 

  • Yang K, Lan Y, Zhao R (2017) Monitoring mechanisms in new product development with risk-averse project manager. J Intell Manuf 28(3):667–681

    Article  Google Scholar 

  • Yao K (2014) Multi-dimensional uncertain calculus with Liu process. J Uncertain Syst 8(4):244–254

    MathSciNet  Google Scholar 

  • Yin S, Nishi T, Zhang G (2013) A game theoretic model to manufacturing planning with single manufacturer and multiple suppliers. Proced CIRP 7(12):115–120

    Article  Google Scholar 

  • Zadeh L (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  MATH  Google Scholar 

  • Zhang X, Zeephongsekul P (2013) Asymmetric information supply chain models with credit option. Ind Eng Manag Syst 12(3):264–273

    Google Scholar 

  • Zhang C, Yu H, Huang X (2009) Quality control strategy in supply chain under asymmetric information. Int J Oper Res 4(1):97–116

    Article  MATH  Google Scholar 

  • Zhou Y (2007) A comparison of different quality discount pricing policies in a twoechelon channel with stochastic and asymmetric demand information. Int J Oper Res 181(2):686–703

    Article  MATH  Google Scholar 

  • Zhou C, Zhao R, Tang W (2008) Two-echelon supply chain games in a fuzzy environment. Comput Ind Eng 55(2):390–405

    Article  Google Scholar 

  • Zhou J, Liu Y, Zhang X, Gu X, Wang D (2017) Uncertain risk aversion. J Intell Manuf 28(3):615–624

    Article  Google Scholar 

  • Zhu Y (2012) Functions of uncertain variables and uncertain programming. J Uncertain Syst 6(4):278–288

    Google Scholar 

Download references

Funding

This study was funded by the Changzhou Application Basic Research Program (CJ20160050) and Natural science of Jiangsu Province (BK20170318).

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Correspondence to Kai Zhu.

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Zhu, K., Shen, J. & Yao, X. A three-echelon supply chain with asymmetric information under uncertainty. J Ambient Intell Human Comput 10, 579–591 (2019). https://doi.org/10.1007/s12652-018-0705-7

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  • DOI: https://doi.org/10.1007/s12652-018-0705-7

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