Ali, S.M., Rahman, M.H., Tumpa, T.J., Rifat, A.A.M. and Paul, S.K., (2018). Examining price and service competition among retailers in a supply chain under potential demand disruption. Journal of Retailing and Consumer Services, 40, pp.40-47.
Almehdawe, E. and Mantin, B., (2010). Vendor managed inventory with a capacitated manufacturer and multiple retailers: Retailer versus manufacturer leadership. International journal of production economics, 128(1), pp.292-302.
Bahrami, Z. and Pasandideh, s., (2019). Joint optimization of the retailer's price, replenishment cycle and production rate in a vmi system with discounting using game theory, Sharif Journal of Industrial Engineering & Management,34 (1), 79-88. (In Persian).
Batarfi, R., Jaber, M.Y. and Glock, C.H., (2019). Pricing and inventory decisions in a dual-channel supply chain with learning and forgetting. Computers & Industrial Engineering, 136, pp.397-420.
Braide, S., Cao, Z. and Zeng, X., (2013). Volume discount pricing strategy in the VMI supply chain with price sensitive demand. Journal of the Operational Research Society, 64(6), pp.833-847.
Cai, J., Zhou, Q., Sun, J., Hu, X., Feng, C., and Li, X. (2021). Competition model and coordination mechanism considering strategic customer behavior under vendor‐managed inventory. International Transactions in Operational Research, 28(5), pp.2782-2809.
Chen, B., Xie, W., Huang, F. and He, J., (2021). Quality competition and coordination in a VMI supply chain with two risk-averse manufacturers. Journal of Industrial & Management Optimization, 17(5), p.2903.
De Giovanni, P., Karray, S. and Martín-Herrán, G., (2019). Vendor Management Inventory with consignment contracts and the benefits of cooperative advertising. European Journal of Operational Research, 272(2), pp.465-480.
Deng, H., Li, Y., Wan, Z. and Wan, Z., (2020). Partially smoothing and gradient-based algorithm for optimizing the VMI system with competitive retailers under random demands. Mathematical Problems in Engineering, 2020.
Giri, B.C. and Maiti, T., (2014). Service competition in a supply chain with two retailers under service level sensitive retail price and demand. International Journal of Management Science and Engineering Management, 9(2), pp.133-146.
Haji, A., Afzalabadi, M., & Haji, R. (2018). Pricing and inventory decisions in a vendor managed inventory system with revenue sharing contract. Uncertain Supply Chain Management, 6(3), 299-320.
Hemmati, M., Fatemi Ghomi, S.M.T. and Sajadieh, M.S., (2017). Vendor managed inventory with consignment stock for supply chain with stock-and price-dependent demand. International Journal of Production Research, 55(18), pp.5225-5242.
Huang, F., He, J. and Wang, J., (2019). Coordination of VMI supply chain with a loss-averse manufacturer under quality-dependency and marketing-dependency. Journal of Industrial & Management Optimization, 15(4), p.1753.
Karampour, M. M., Hajiaghaei-Keshteli, M., Fathollahi-Fard, A. M., and Tian, G. (2022). Metaheuristics for a bi-objective green vendor managed inventory problem in a two-echelon supply chain network. Scientia Iranica, 29(2), pp.816-837.
Karimi, M., Khademi Zare, H., Zare Mehrjerdi, Y. and Fakhrzad, M.B., (2021a). Presenting a novel vendor managed inventory model for retailer selection in competitive condition. Sharif Journal of Industrial Engineering & Management, 37(1), pp.103-115.
Karimi, M., Khademi Zare, H., Zare Mehrjerdi, Y. and Fakhrzad, M.B., (2021b). A Stackelberg game model for optimizing price, service level and inventory decisions in Vendor Managed Inventory system, Journal of Industrial and Systems Engineering, Vol. 13, pp. 21-29.
Khorshidvand, B., Soleimani, H., Sibdari, S., and Esfahani, M. M. S. (2021a). Revenue management in a multi-level multi-channel supply chain considering pricing, greening, and advertising decisions. Journal of Retailing and Consumer Services, 59, 102425.
Khorshidvand, B., Soleimani, H., Sibdari, S., and Esfahani, M. M. S. (2021b). A hybrid modeling approach for green and sustainable closed-loop supply chain considering price, advertisement and uncertain demands. Computers & Industrial Engineering, 157, 107326.
Khorshidvand, B., Soleimani, H., Sibdari, S., and Esfahani, M. M. S. (2021c). Developing a two-stage model for a sustainable closed-loop supply chain with pricing and advertising decisions. Journal of Cleaner Production, 309, 127165.
Kusuma, P. D., and Kallista, M. (2022). Collaborative vendor managed inventory model by using multi agent system and continuous review (r, Q) replenishment policy. Journal of Applied Engineering Science, 20(1), pp. 254-263.
Mahdavisharif, M., Kazemi, M., Jahani, H. and Bagheri, F., (2022). Pricing and inventory policy for non-instantaneous deteriorating items in vendor-managed inventory systems: a Stackelberg game theory approach. International Journal of Systems Science: Operations & Logistics, pp.1-28.
Modares, A., Farimani, N. M., & Emroozi, V. B. (2022). A vendor-managed inventory model based on optimal retailers selection and reliability of supply chain. Journal of Industrial and Management Optimization.
Niknamfar, A.H. and Pasandideh, S.H.R., (2014). A bi-objective optimization for vendor managed inventory model. Journal of Optimization in Industrial Engineering, 7(15), pp.37-45.
Pi, Z., Fang, W. and Zhang, B., (2019). Service and pricing strategies with competition and cooperation in a dual-channel supply chain with demand disruption. Computers & Industrial Engineering, 138, p.106130.
Poursoltan, L., Mohammad Seyedhosseini, S., and Jabbarzadeh, A. (2021). A two-level closed-loop supply chain under the constract Of vendor managed inventory with learning: A novel hybrid algorithm. Journal of Industrial and Production Engineering, 38(4), pp.254-270.
Rasay, H., Zare Mehrjerdi, Y., and Fallah Nezhad, M. S. (2013). Vendor management inventory system in the case of one vendor and multi retailer, Int. J. of Industrial Engineering & Production Management, 24 (3), pp. 269-282. (In Persian).
Rasay, H., Zare Mehrjerdi, Y., and Fallah Nezhad, M. S. (2015). Modeling and Numerical Analysis of Revenue Sharing Contract Based on the Stackelberge Game Theory. International Journal of Supply and Operations Management, 1(4), pp.439-465.
SeyedEsfahani, M.M., Biazaran, M. and Gharakhani, M., (2011). A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer–retailer supply chains. European Journal of Operational Research, 211(2), pp.263-273.
Taleizadeh, A.A., Noori-daryan, M. and Cárdenas-Barrón, L.E., (2015). Joint optimization of price, replenishment frequency, replenishment cycle and production rate in vendor managed inventory system with deteriorating items. International Journal of Production Economics, 159, pp.285-295.
Tsay, A.A. and Agrawal, N., (2000). Channel dynamics under price and service competition. Manufacturing & Service Operations Management, 2(4), pp.372-391.
Viswanathan, S., (2009). Coordination in vendor-buyer inventory systems: on price discounts, Stackelberg game and joint optimisation. International Journal of Operational Research, 6(1), pp.110-124.
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, 61(4), pp.1053-1071.
Wei, Q., Zhang, J., Zhu, G., Dai, R. and Zhang, S., (2020). Retailer vs. vendor managed inventory with considering stochastic learning effect. Journal of the Operational Research Society, 71(4), pp.628-646.
Wu, X. and YK R, D.C., (2005). Coordinating a supply chain with a vendor-managed inventory contract. Working paper. City University of Hong Kong, Hong Kong.
Xiao, T. and Yang, D., (2008). Price and service competition of supply chains with risk-averse retailers under demand uncertainty. International Journal of Production Economics, 114(1), pp.187-200.
Yu, Y. and Huang, G.Q., (2010). Nash game model for optimizing market strategies, configuration of platform products in a Vendor Managed Inventory (VMI) supply chain for a product family. European Journal of Operational Research, 206(2), pp.361-373.
Yu, Y., Hong, Z., Zhang, L.L., Liang, L. and Chu, C., (2013). Optimal selection of retailers for a manufacturing vendor in a vendor managed inventory system. European Journal of Operational Research, 225(2), pp.273-284.
Yu, Y., Huang, G.Q. and Liang, L., (2009). Stackelberg game-theoretic model for optimizing advertising, pricing and inventory policies in vendor managed inventory (VMI) production supply chains. Computers & Industrial Engineering, 57(1), pp.368-382.
Zanoni, S. and Jaber, M.Y., (2015). A two-level supply chain with consignment stock agreement and stock-dependent demand. International Journal of Production Research, 53(12), pp.3561-3572.
Zare Mehrjerdi, Y., Fallah Nezhad, M. S. and Rasai, H. (2014). Modeling and the sensitivity analyze of Vendor management inventory system based on Stackelberg game theory and assuming that the manufacturer as a leader, Sharif Journal of Industrial Engineering & Management, 1 (2), pp. 93-103. (In Persian).