Skip to main content

A Manufacturer-Retailer Supply Chain with Fuzzy Consumer Demand

A Vertical Cooperative Advertising and Pricing Model

  • Conference paper
  • First Online:
Logistics Management

Part of the book series: Lecture Notes in Logistics ((LNLO))

Abstract

In this paper, we apply fuzzy set theory to a single-manufacturer single-retailer supply chain, where both players try to determine their optimal pricing and advertising decisions. The interaction between manufacturer and retailer is analyzed by means of a Stackelberg game. Moreover, a vertical cooperative advertising program is considered, which represents a financial agreement where the manufacturer offers to share a certain fraction of his retailer’s advertising expenditures. Even though this topic gained substantial interest in recent years’ operations research literature and studies reveal that results strongly depend on demand parameters, most analyses are limited to deterministic model formulations. Here, fuzzy set theory has the advantage that it is not only able to incorporate the uncertainty of demand parameters into analysis. Furthermore, it enables us to take into consideration the experience of decision makers, which is often not expressed numerically, but rather in vague linguistic terms.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Aust G, Buscher U (2011) Spieltheoretische analyse der werbungsbezogenen zusammen-arbeit von Hersteller und Händler. In: Logistikmanagement E, Sucky et al (eds) III, pp 65–85

    Google Scholar 

  • Aust G, Buscher U (2012) Vertical cooperative advertising and pricing decisions in a manufacturer-retailer supply chain: a game-theoretic approach. Eur J Oper Res 223(2):473–482

    Article  MathSciNet  MATH  Google Scholar 

  • Berger PD (1972) Vertical cooperative advertising ventures. J Mark Res 9(3):309–312

    Article  Google Scholar 

  • Chen T-H (2011) Coordinating the ordering and advertising policies for a single-period com-modity in a two-level supply chain. Comput Ind Eng 61(4):1268–1274

    Article  Google Scholar 

  • Cheng C-B (2004) Group opinion aggregation based on a grading process: a method for constructing triangular fuzzy numbers. Comput Math Appl 48(10–11):1619–1632

    Google Scholar 

  • Crimmins EC (1984) Cooperative advertising. Gene Wolfe and Co, New York

    Google Scholar 

  • He X, Krishnamoorthy A, Prasad A, Sethi SP (2011) Retail competition and cooperative advertising. Oper Res Lett 39(1):11–16

    Article  MathSciNet  MATH  Google Scholar 

  • He X, Krishnamoorthy A, Prasad A, Sethi SP (2012) Co-op advertising in dynamic retail oligopolies. Decis Sci 43(1):73–106

    Article  Google Scholar 

  • Hutchins MS (1953) Cooperative advertising: the way to make it pay. The Ronald Press Company, New York

    Google Scholar 

  • Karray S, Zaccour G (2006) Could co-op advertising be a manufacturer’s counterstrategy to store brands? J Bus Res 59(9):1008–1015

    Article  Google Scholar 

  • Kim SY, Staelin R (1999) Manufacturer allowances and retailer pass-through rates in a competitive environment. Mark Sci 18(1):59–76

    Article  Google Scholar 

  • Kunter M (2012) Coordination via cost and revenue sharing in manufacturer-retailer channels. Eur J Oper Res 216(2):477–486

    Article  MathSciNet  MATH  Google Scholar 

  • Liu B (2009) Theory and practice of uncertain programming. UTL, 3rd edn

    Google Scholar 

  • Liu B (2013) Uncertainty theory. UTL, 4th edn

    Google Scholar 

  • Liu Y-K, Liu B (2003) Expected value operator of random fuzzy variable and random fuzzy expected value models. Int J Uncertainty Fuzziness Knowl Based Syst 11(2):195–215

    Article  MATH  Google Scholar 

  • Nagler M (2006) An exploratory analysis of the determinants of cooperative advertising participation rates. Mark Lett 17(2):91–102

    Article  Google Scholar 

  • Nahmias S (1978) Fuzzy variables. Fuzzy Sets Syst 1(2):97–110

    Article  MathSciNet  MATH  Google Scholar 

  • SeyedEsfahani MM, Biazaran M, Gharakhani M (2011) A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains. Eur J Oper Res 211(2):263–273

    Article  MathSciNet  MATH  Google Scholar 

  • Somers TM, Gupta YP, Harriot SR (1990) Analysis of cooperative advertising expenditures: a transfer-function modeling approach. J Advertising Res 30(5):35–49

    Google Scholar 

  • Thompson GL, Teng J-T (1984) Optimal pricing and advertising policies for new product oligopoly models. Mark Sci 3(2):148–168

    Article  Google Scholar 

  • Tsao Y-C, Sheen G-J (2012) Effects of promotion cost sharing policy with the sales learning curve on supply chain coordination. Comput Oper Res 39(8):1872–1878

    Article  MathSciNet  MATH  Google Scholar 

  • Xie J, Wei JC (2009) Coordinating advertising and pricing in a manufacturer-retailer channel. Eur J Oper Res 197(2):785–791

    Article  MathSciNet  MATH  Google Scholar 

  • Xie J, Zhang J (2011) A review of game theoretical models in cooperative advertising. In: Samson RM (ed) Supply-chain management: theories, activities/functions and problems. Nova Science Publishers, Hauppauge, pp 193–226

    Google Scholar 

  • Yan R (2010) Cooperative advertising, pricing strategy and firm performance in the e-marketing age. J Acad Mark Sci 38(4):510–519

    Article  Google Scholar 

  • Yang J, Xie J Deng X, Xiong H (2013) Cooperative advertising in a distribution channel with fairness concerns. Eur J Oper Res, to appear

    Google Scholar 

  • Young RF, Greyser SA (1983) Managing cooperative advertising: a strategic approach. Lexington Books, Lexington

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang J, Xie J (2012) A game theoretical study of cooperative advertising with multiple retailers in a distribution channel. J Syst Sci Syst Eng 21(1):37–55

    Article  Google Scholar 

  • Zhao J, Tang W, Wei J (2012a) Pricing decision for substitutable products with retail competition in a fuzzy environment. Int J Prod Econ 135(1):144–153

    Article  Google Scholar 

  • Zhao J, Tang W, Zhao R, Wei J (2012b) Pricing decisions for substitutable products with a common retailer in fuzzy environments. Eur J Oper Res 216(2):409–419

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao R, Tang W, Yun H (2006) Random fuzzy renewal process. Eur J Oper Res 169(1):189–201

    Article  MathSciNet  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  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gerhard Aust .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Aust, G. (2015). A Manufacturer-Retailer Supply Chain with Fuzzy Consumer Demand. In: Dethloff, J., Haasis, HD., Kopfer, H., Kotzab, H., Schönberger, J. (eds) Logistics Management. Lecture Notes in Logistics. Springer, Cham. https://doi.org/10.1007/978-3-319-13177-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-13177-1_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13176-4

  • Online ISBN: 978-3-319-13177-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics