Coordination of competitive advertising via investing in transportation lead time reduction

Document Type : Research Paper


1 Assistant Professor, School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

2 PhD. Candidate, School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

3 Post Doctoral Candidate, Dhillon School of Business, University of Lethbridge, Lethbridge, Canada.


In this study, a contract for vertical and horizontal coordination is developed in which transportation mode and carbon emissions tax play a key role in determining the values of the contract parameters. The contract is designed for simultaneous coordination of cooperative advertising and periodic review replenishment decisions of a supplier and two competitive retailers. To obtain the optimal decisions, firstly, the traditional decision-making structure is modeled. After that, the centralized structure is modeled to obtain decisions that are profitable for the whole supply chain. Finally, for convincing the competitive retailers to accept the centralized decisions, the supplier applies a lead time crashing contract in which two transportation modes, i.e. fast and slow, can be used. Considering the carbon emissions tax imposed by the government, the coordination contract is designed in such a way that the supplier considers the trade-off between reducing lead time and paying tax on carbon emissions while providing enough incentives for the competitive retailers. Results of the sensitivity analyses showed that the proposed model is profitable from economic and environmental viewpoints. From environmental viewpoint, considering the carbon tax leads to a decrease in the carbon emissions that will be released by the transportation modes. From economic viewpoint, coordinating coop (cooperative) advertising and replenishment decisions of the SC members, enhances demand and provides a higher service level, which increases the SC profit. The contract is conditionally applicable under situations where the carbon emissions tax or lead time reduction costs become high.


-Beheshtinia, M. A. and Ghasemi, A. (2017) “A multi-objective and integrated model for supply chain scheduling optimization in a multi-site manufacturing system”, Engineering Optimization, pp. 1-19.
-Beheshtinia, M. A., Ghasemi, A. and Farokhnia, M. (2018) “Supply chain scheduling and routing in multi-site manufacturing system (case study: a drug manufacturing company)”, Journal of Modelling in Management, Vol. 13, No. 1, pp. 27-49.
Borumand, A. and Beheshtinia, M. A. (2018) “A developed genetic algorithm for solving the multi-objective supply chain scheduling problem”, Kybernetes.
-Bergen, M. and John, G. (1997) “Understanding cooperative advertising participation rates in conventional channels”, Journal of Marketing Research, Vol. 34, No. 3, pp. 357–369.
-Chaharsooghi, S. K. and Heydari, J. (2010) “Supply chain coordination for the joint determination of order quantity and reorder point using credit option”, European Journal of Operational Research, Vol. 204, No. 1, pp. 86-95.
-Chaharsooghi, S. K., Heydari, J. and Kamalabadi, I. N. (2011) “Simultaneous coordination of order quantity and reorder point in a two-stage supply chain”, Computers and Operations Research, Vol. 38, No. 12, pp. 1667-1677.
-Corbett, J. J., Wang, H. and Winebrake, J. J. (2009) “The effectiveness and costs of speed reductions on emissions from international shipping”, Transportation Research Part D: Transport and Environment, Vol. 14, No. 8, pp. 593-598.
-Ebrahimi, S., Hosseini-Motlagh, S.-M. and Nematollahi, M. (2017) “Proposing a delay in payment contract for coordinating a two-echelon periodic review supply chain with stochastic promotional effort dependent demand”, International Journal of Machine Learning and Cybernetics, pp. 1-14.
-Eynan, A. and Kropp, D. H. (2007) “Effective and simple EOQ-like solutions for stochastic demand periodic review systems”, European Journal of Operational Research, Vol. 180. No. 3, pp. 1135-1143.
-Heydari, J. (2013) “Coordinating replenishment decisions in a two-stage supply chain by considering truckload limitation based on delay in payments”, International Journal of Systems Science, Vol. 46, No. 10, pp. 1897-1908.
-Heydari, J. (2014) “Lead time variation control using reliable shipment equipment: An incentive scheme for supply chain coordination”, Transportation research part E: Logistics and transportation review, Vol. 63, pp. 44-58.
-Heydari, J. and Norouzinasab, Y. (2016) “Coordination of pricing, ordering, and lead time decisions in a manufacturing supply chain”, Journal of Industrial and Systems Engineering, Vol. 9, pp. 1-16.
-Heydari, J., Zaabi-Ahmadi, P. and Choi, T. M. (2018) “Coordinating supply chains with stochastic demand by crashing lead times”, Computers & Operations Research, Vol. 100, pp. 394-403
-Hoen, K. M., Tan, T., Fransoo, J. C. and van Houtum, G. J. (2013) “Switching transport modes to meet voluntary carbon emission targets”, Transportation Science, Vol. 48, No. 4, pp. 592-608.
-Johari, M., Hosseini-Motlagh, S. M. and Nematollahi, M. (2017) “Supply Chain Coordination using Different Modes of Transportation Considering Stochastic Price-Dependent Demand and Periodic Review Replenishment Policy”, International Journal of Transportation Engineering, Vol. 5, No. 2, pp. 137-165.
-Johari, M. and Hosseini-Motlagh, S. (2018) “Coordination of cooperative promotion efforts with competing retailers in a manufacturer-retailer supply chain”, Uncertain Supply Chain Management, Vol. 6, No. 1, pp. 25-48.
-Johari, M., Hosseini-Motlagh, S. M., Nematollahi, M., Goh, M. and Ignatius, J. (2018) “Bi-level credit period coordination for periodic review inventory system with price-credit dependent demand under time value of money”, Transportation Research Part E: Logistics and Transportation Review, Vol. 114, pp. 270-291.
-Karray, S. and Amin, S. H. (2015) “Cooperative advertising in a supply chain with retail competition”, International Journal of Production Research, Vol. 53, No. 1, pp. 88-105.
-Karray, S. and Surti, C. (2016) “Channel coordination with quantity discounts and/or cooperative advertising”, International Journal of Production Research, Vol. 54, No. 17, pp. 5317-5335.
-Li, Y., Xu, X. and Ye, F. (2011) “Supply chain coordination model with controllable lead time and service level constraint”, Computers & Industrial Engineering, Vol. 61, No. 3, pp. 858-864.
-Li, Y., Xu, X., Zhao, X., Yeung, J. H. Y. and Ye, F. (2012) “Supply chain coordination with controllable lead time and asymmetric information”, European Journal of Operational Research, Vol. 217, No. 1, pp. 108-119.
-Lin, H. J. (2016) “Investing in lead-time variability reduction in a collaborative vendor–buyer supply chain model with stochastic lead time”, Computers & Operations Research, Vol. 72, pp. 43-49.
-Modak, N. M., Panda, S. and Sana, S. S. (2016) “Three-echelon supply chain coordination considering duopolistic retailers with perfect quality products”, International Journal of Production Economics, Vol. 182, pp. 564-578.
-Montgomery, D. C., Bazzaraa, M. S. and Keswani, A. K. (1973) “Inventory models with a mixture of backorders and lost sales”, Naval Research Logistics, Vol. 20, No. 2, pp. 255-263.
-Nematollahi, M., Hosseini-Motlagh, S. M. and Heydari, J. (2017a) “Coordination of social responsibility and order quantity in a two-echelon supply chain: A collaborative decision-making perspective”, International Journal of Production Economics, Vol. 184, pp. 107-121.
-Nematollahi, M., Hosseini-Motlagh, S. M. and Heydari, J. (2017b) “Economic and social collaborative decision-making on visit interval and service level in a two-echelon pharmaceutical supply chain”, Journal of Cleaner Production, Vol. 142, pp. 3956-3969.
-Nematollahi, M., Hosseini-Motlagh, S.-M., Ignatius, J., Goh, M. and Nia, M. S. (2018) “Coordinating a socially responsible pharmaceutical supply chain under periodic review replenishment policies”, Journal of Cleaner Production, Vol. 172, pp. 2876-2891.
-Nouri, M., Hosseini-Motlagh, S.-M., Nematollahi, M. and Sarker, B. R. (2018) “Coordinating manufacturer's innovation and retailer's promotion and replenishment using a compensation-based wholesale price contract”, International Journal of Production Economics, Vol. 198, pp. 11–24.
-Toptal, A., Özlü, H. and Konur, D. (2014) “Joint decisions on inventory replenishment and emission reduction investment under different emission regulations”, International Journal of Production Research, Vol. 52, No. 1, pp. 243-269.
-Wang, S. D., Zhou, Y. W., Min, J. and Zhong, Y. G. (2011) “Coordination of cooperative advertising models in a one-manufacturer two-retailer supply chain system”, Computers & Industrial Engineering, Vol. 61, No. 4, pp. 1053-1071.
-Xie, J. and Neyret, A. (2009) “Co-op advertising and pricing models in manufacturer–retailer supply chains”, Computers & Industrial Engineering, Vol. 56, No. 4, pp. 1375-1385.
-Yang, J., Xie, J., Deng, X. and Xiong, H. (2013) “Cooperative advertising in a distribution channel with fairness concerns”, European Journal of Operational Research, Vol. 227, No. 2, pp. 401-407.
-Zhang, J. and Chen, J. (2013) “Coordination of information sharing in a supply chain”, International Journal of Production Economics, Vol. 143, No. 1, pp. 178-187.