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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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
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
Berger PD (1972) Vertical cooperative advertising ventures. J Mark Res 9(3):309–312
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
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
Crimmins EC (1984) Cooperative advertising. Gene Wolfe and Co, New York
He X, Krishnamoorthy A, Prasad A, Sethi SP (2011) Retail competition and cooperative advertising. Oper Res Lett 39(1):11–16
He X, Krishnamoorthy A, Prasad A, Sethi SP (2012) Co-op advertising in dynamic retail oligopolies. Decis Sci 43(1):73–106
Hutchins MS (1953) Cooperative advertising: the way to make it pay. The Ronald Press Company, New York
Karray S, Zaccour G (2006) Could co-op advertising be a manufacturer’s counterstrategy to store brands? J Bus Res 59(9):1008–1015
Kim SY, Staelin R (1999) Manufacturer allowances and retailer pass-through rates in a competitive environment. Mark Sci 18(1):59–76
Kunter M (2012) Coordination via cost and revenue sharing in manufacturer-retailer channels. Eur J Oper Res 216(2):477–486
Liu B (2009) Theory and practice of uncertain programming. UTL, 3rd edn
Liu B (2013) Uncertainty theory. UTL, 4th edn
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
Nagler M (2006) An exploratory analysis of the determinants of cooperative advertising participation rates. Mark Lett 17(2):91–102
Nahmias S (1978) Fuzzy variables. Fuzzy Sets Syst 1(2):97–110
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
Somers TM, Gupta YP, Harriot SR (1990) Analysis of cooperative advertising expenditures: a transfer-function modeling approach. J Advertising Res 30(5):35–49
Thompson GL, Teng J-T (1984) Optimal pricing and advertising policies for new product oligopoly models. Mark Sci 3(2):148–168
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
Xie J, Wei JC (2009) Coordinating advertising and pricing in a manufacturer-retailer channel. Eur J Oper Res 197(2):785–791
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
Yan R (2010) Cooperative advertising, pricing strategy and firm performance in the e-marketing age. J Acad Mark Sci 38(4):510–519
Yang J, Xie J Deng X, Xiong H (2013) Cooperative advertising in a distribution channel with fairness concerns. Eur J Oper Res, to appear
Young RF, Greyser SA (1983) Managing cooperative advertising: a strategic approach. Lexington Books, Lexington
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
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
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
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
Zhao R, Tang W, Yun H (2006) Random fuzzy renewal process. Eur J Oper Res 169(1):189–201
Zhou C, Zhao R, Tang W (2008) Two-echelon supply chain games in a fuzzy environment. Comput Ind Eng 55(2):390–405
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights 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)