Collaborative Advertising in a Two-Echelon Supply Chain with Production Capacity and Advertising Budget Constraints with a Bi-Level Programming Approach

Document Type : Research Paper

Authors

1 PhD student of Industrial Engineering, Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran

2 Associate Professor, Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran

Abstract

Advertising is one of the most effective means of increasing sales of supply chain members. In order to increase sales and meet demand, chain members must coordinate their efforts. Since advertising and production decisions in the supply chain are interactive between members, it is necessary to create a form of integration or participation in decision-making. Two retailers and a manufacturer are part of the supply chain considered in this study. On the one hand, the manufacturer uses global advertisements to strengthen the business brand, and on the other hand, retailers use local advertisements to increase sales. The manufacturer participates in financing local advertising costs with retailers. Additionally, it is assumed that there are production capacity constraints for the manufacturer, as well as advertising budgets for each member of the supply chain. A manufacturer's limited capacity creates a competition between retailers to meet demand and an advertising budget restriction creates competition among them to attract the most participation in advertising expenses. The governing structure of the optimization model is a bi-level programming type where the manufacturer is at the first level and the competing retailers are at the second level. From the game theory perspective, a type of generalized Stackelberg-Nash game prevails between the players. A solution method based on variational inequalities is proposed to find the equilibrium of this game, and numerical analyses are provided to evaluate the model and solution method. Finally, managerial implications based on the results of numerical experiments have been proposed.

Keywords

Main Subjects


  • Aust, G., & Buscher, U. (2014). Cooperative advertising models in supply chain management: A review. European Journal of Operational Research, 234(1), 1-14.
  • Bhattacharyya, S., & Lafontaine, F. (1995). Double-sided moral hazard and the nature of share contracts. The RAND Journal of Economics, 761-781.
  • Hempelmann, B. (2006). Optimal franchise contracts with private cost information. International Journal of Industrial Organization, 24(2), 449-465.
  • Amirtaheri, O., Zandieh, M., & Dorri, B. (2018). A bi-level programming model for decentralized manufacturer-distributer supply chain considering cooperative advertising. Scientia Iranica, 25(2), 891-910.
  • Ahmadi-Javid, A., & Hoseinpour, P. (2012). On a cooperative advertising model for a supply chain with one manufacturer and one retailer. European Journal of Operational Research, 219(2), 458-466.
  • Alaei, S., & Manavizadeh, N. (2022). Cooperative advertising with two local advertising options in a retailer duopoly. Scientia Iranica, 29(1), 412-426.
  • کریمی، ناصر و راستی برزکی، مرتضی. (1397). رویکرد نظریه بازی برای قیمت‌گذاری و تعیین سطح تبلیغات و سطح خدمت در یک زنجیره‌تأمین دارای کانال توزیع دوگانه: تصمیم‌گیری متمرکز. نشریه پژوهش‌های مهندسی صنایع در سیستم‌های تولید، 6(13)، 179-193. doi: 10.22084/ier.2019.9679.1459
  • محمدی‌زنجیرانی، داریوش؛ صیفی، محسن؛ توکلی، محمدحسین و شکری‌ساز، میثم. (1400). تأثیر قیمت‌گذاری و تبلیغات بر رقابت بین تولیدکننده و خرده‌فروش با وجود فروش مستقیم. نشریه پژوهش‌های مهندسی صنایع در سیستم‌های تولید، 9(19)، 15-1. doi: 10.22084/ier.2022.21261.1951
  • Sigué, S. P., & Chintagunta, P. (2009). Advertising strategies in a franchise system. European Journal of Operational Research, 198(2), 655-665.
  • Bass, F. M., Krishnamoorthy, A., Prasad, A., & Sethi, S. P. (2005). Generic and brand advertising strategies in a dynamic duopoly. Marketing Science, 24(4), 556-568
  • Crespi, J. M., & James, J. S. (2007). Bargaining rationale for cooperative generic advertising. Australian Journal of Agricultural and Resource Economics, 51(4), 445-457.
  • Buratto, A., & Zaccour, G. (2009). Coordination of advertising strategies in a fashion licensing contract. Journal of optimization theory and applications, 142(1), 31-53.
  • Berger, P. D. (1972). Vertical cooperative advertising ventures. Journal of Marketing research, 9(3), 309-312.
  • Rasouli, N., Amin-Naseri, M. R., Nakhai Kamalabadi, I., & Hosseinzadeh Kashan, A. (2020). Coordination of Pricing and Order Quantity for Two Replaceable and Seasonal Products. International Journal of Engineering, 33(3), 439-447.
  • Karray, S., & Zaccour, G. (2007). Effectiveness of coop advertising programs in competitive distribution channels. International Game Theory Review, 9(02), 151-167.
  • Kim, S. Y., & Staelin, R. (1999). Manufacturer allowances and retailer pass-through rates in a competitive environment. Marketing Science, 18(1), 59-76.
  • Chutani, A., & Sethi, S. P. (2018). Dynamic cooperative advertising under manufacturer and retailer level competition. European Journal of Operational Research, 268(2), 635-652.
  • Chen, J. (2010, November). The Manufacturer's Co-Op Advertising Counterstrategy to Private Label. In 2010 International Conference on E-Product E-Service and E-Entertainment (pp. 1-4). IEEE.
  • Karray, S., & Zaccour, G. (2005). A differential game of advertising for national and store brands. In Dynamic games: Theory and applications (pp. 213-229). Springer, Boston, MA.
  • Karray, S., & Zaccour, G. (2006). Could co-op advertising be a manufacturer's counterstrategy to store brands?. Journal of Business research, 59(9), 1008-1015.
  • De Giovanni, P. (2014). Environmental collaboration in a closed-loop supply chain with a reverse revenue sharing contract. Annals of Operations Research, 220(1), 135-157.
  • Sadigh, A. N., Mozafari, M., & Karimi, B. (2012). Manufacturer–retailer supply chain coordination: A bi-level programming approach. Advances in Engineering Software, 45(1), 144-152.
  • Farshbaf-Geranmayeh, A., Rabbani, M., & Taleizadeh, A. A. (2018). Channel coordination with cooperative advertising considering effect of advertising on willingness to pay. Journal of Optimization Theory and Applications, 176(2), 509-525
  • Xiao, D., Zhou, Y. W., Zhong, Y., & Xie, W. (2019). Optimal cooperative advertising and ordering policies for a two-echelon supply chain. Computers & Industrial Engineering, 127, 511-519.
  • Xie, J. Ai., S. (2006). A note on cooperative advertising, game theory and manufacturer—retailer supply chains. Omega. The International Journal of Management Science, 34(5), 501-504.
  • Yue, J., Austin, J., Wang, M. C., & Huang, Z. (2006). Coordination of cooperative advertising in a two-level supply chain when manufacturer offers discount. European Journal of Operational Research, 168(1), 65-85.
  • Esmaeili, M., Aryanezhad, M. B., & Zeephongsekul, P. (2009). A game theory approach in seller–buyer supply chain. European Journal of Operational Research, 195(2), 442-448.
  • Aust, G., & Buscher, U. (2012). Vertical cooperative advertising and pricing decisions in a manufacturer–retailer supply chain: A game-theoretic approach. European journal of operational research, 223(2), 473-482.
  • Zhang, J., Xie, J., & Chen, B. (2013). Cooperative advertising with bilateral participation. Decision Sciences, 44(1), 193-203.
  • Taleizadeh, A. A., & Charmchi, M. (2015). Optimal advertising and pricing decisions for complementary products. Journal of Industrial Engineering International, 11(1), 111-117.
  • Xie, J., Liang, L., Liu, L., & Ieromonachou, P. (2017). Coordination contracts of dual-channel with cooperation advertising in closed-loop supply chains. International Journal of Production Economics, 183, 528-538.
  • Farshbaf-Geranmayeh, A., Rabbani, M., & Taleizadeh, A. A. (2018). Cooperative Advertising and Pricing in a Supply Chain: A Bi-level Programming Approach. Journal of Quality Engineering and Production Optimization, 3(2), 11-26.
  • Zheng, X. X., Liu, Z., Li, K. W., Huang, J., & Chen, J. (2019). Cooperative game approaches to coordinating a three-echelon closed-loop supply chain with fairness concerns. International Journal of Production Economics, 212, 92-110.
  • Zhang, L., Chen, F. W., Xia, S. M., Cao, D. M., Ye, Z., Shen, C. R., ... & Li, Y. M. (2021). Value co-creation and appropriation of platform-based alliances in cooperative advertising. Industrial Marketing Management, 96, 213-225.
  • Li, J., Ji, X., Chen, Z., & Wu, J. (2022). How cooperative advertising interacts with distributional contracts in a dual-channel system. RAIRO-Operations Research, 56(3), 1655-1684.
  • Li, Y., Zhao, X., Xie, J., & Zhu, W. (2021). Inequality aversion in cooperative advertising in supply chain: an experimental study. International Journal of Production Research, 1-23.
  • Du, P., Zhang, S., Wang, H., & Wang, Y. (2022). Research on the optimization of cooperative advertising strategy in the promotion of water-saving products based on differential game. Water Policy, 24(10), 1631-1657.
  • Colson, B., Marcotte, P., & Savard, G. (2007). An overview of bilevel optimization. Annals of operations research, 153, 235-256.
  • Gabriel, S. A., Conejo, A. J., Fuller, J. D., Hobbs, B. F., & Ruiz, C. (2012). Complementarity modeling in energy markets (Vol. 180). Springer Science & Business Media.