How to cite this paper
Naeij, J & Shavandi, H. (2010). An optimal lot sizing and pricing in two echelon supply chain.International Journal of Industrial Engineering Computations , 1(1), 11-32.
Refrences
Aviv, Y., & Federgruen, A. (1998). The operational benefits of information sharing and vendor managed inventory (VMI) programs. Washington University Working Paper.
Banerjee, A. (1986). A joint economic-lot-size model for purchase and vendor. Decision Sciences, 17, 292–311.
Banerjee, A., & Banerjee, S. (1992). Coordinated, orderless inventory replenishment for a single supplier and multiple buyers through electronic data interchange. International Journal of Technology Management, 7, 328–336.
Banerjee, A., & Burton, J.S. (1994). Coordinated vs independent inventory replenishment policies for a vendor and multiple buyers. International Journal of Production Economics, 35 (1–3), 215–222.
Cachon, G.P., & Fisher, M. (2000). Supply chain inventory management and the value of shared information. Management Science, 46 (8), 1032–1048.
Cachon, G. (2001). Stock wars: Inventory competition in a two-echelon supply chain with multiple retailers. Operations Research, 49 (5), 658–674.
Cachon, G., & Netessine, S. (2004). Game theory in supply chain analysis, In: Simchi-Levi, S. D. Wu, & M. Shen (Eds.), Handbook of supply chain analysis in the E-business Era. USA: Kluwer Academic Publishers.
Chakravarty, A.K., & Goyal, S.K. (1986). Multi-item inventory grouping with dependent set-up cost and group overhead cost. Engineering Costs and Production Economics, 10 (1), 13–23.
Chen, F. R., & Federgruen, A., & Zheng, Y. S. (2001). Coordination mechanisms for a distribution system with one supplier and multiple retailers. Management Science, 47(5), 693–708.
Chen, J. M., & Chen, T. H. (2005). Effects of joint replenishment and channel coordination for managing multiple deteriorating products in a supply chain. Journal of the Operational Research Society, 56(10), 1224–1234.
Cobb, C. W., & Douglas, P. H. (1928). A theory of production. American Economic Review, 18(Suppl.), 139–165.
De Toni, A. F., & Zamolo, E. (2005). From a traditional replenishment system to vendor-managed inventory: A case study from the household electrical appliances sector. International Journal of Production Economics, 96(1), 63–79.
Disney, S. M., & Towill, D. R. (2003). Bullwhip reduction in supply chains: The impact of VMI. International Journal of Operations and Production Management, 23(6), 625–651.
Dong, Y., & Xu, K. F. (2002). A supply chain model of vendor managed inventory. Transportation Research Part E-Logistics and Transportation Review, 38(2), 75–95.
Goyal, S. K. (1977). An integrated inventory model for a single supplier-single customer problem. International Journal of Production Research, 15(1), 107–111.
Goyal, S. K. (1988). A joint economic-lot-size model for purchase and vendor: A comment. Decision Sciences, 19, 236–241.
Goyal, S. K., & Gunasekaran, A. (1995). An integrated production-inventory marketing model for deteriorating items. Computers & Industrial Engineering, 28(4), 755–762.
Huang, Z. M., & Li, S. X. (2001). Co-op advertising models in manufacturer–retailer supply chains: A game theory approach. European Journal of Operational Research, 135(3), 527–544.
Kohli, R., & Park, H. (1994). Coordinating buyer–seller transactions across multiple products. Management Science, 40(9), 45–50.
Kotler, P. (1971). In market decision making: A model building approach. New York: Holt Rinchart Winstion.
Ladany, S., & Sternleib, A. (1974). The interaction of economic ordering quantities and marketing policies. AIIE Transactions, 6, 35–40.
Lal, R., & Staelin, R. (1984). An approach for developing an optimal discount pricing policy. Management Science, 30, 1524–1539.
Lau, A. H. L., & Lau, H. S. (2004). Some two-echelon supply-chain games: Improving from deterministic-symmetric-information to stochastic asymmetric-information models. European Journal of Operational Research, 161(1), 203–223.
Lau, A. H. L., Lau, H. S., & Zhou, Y. W. (2007). A stochastic and asymmetric-information framework for a dominant-manufacturer supply chain. European Journal of Operational Research, 176(1), 295–316.
Lee, H. L., So, K. C., & Tang, C. S. (2000). The value of information sharing in a two level supply chain. Management Science, 46(5), 626–643.
Liou, Y. C., Schaible, S., & Yao, J. C. (2006). Supply chain inventory management via a Stackelberg equilibrium. Journal of Industrial and Management Optimization, 2(1), 81–94.
Lu, L. (1995). A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research, 81, 312–323.
Mitra, S., & Chatterjee, A. K. (2004). Leveraging information in multi-echelon inventory systems. European Journal of Operational Research, 152(1), 263–280.
Monahan, J. P. (1984). A quantity discount pricing model to increase vendor profits. Management Science, 30(6), 720–726.
Munson, C. L., & Rosenblatt, M. J. (2001). Coordinating a three-level supply chain with quantity discounts. IIE Transactions, 33(5), 371–384.
Qin, Y., Tang, H., & Guo, C. (2007). Channel coordination and volume discounts with price-sensitive demand. International Journal of Production Economics, 105(1), 43–53.
Rosenblatt, M. J., & Lee, H. L. (1985). Improving profitability with quantity discounts under fixed demand. IIE Transactions, 17, 388–395.
Roslow, S., Laskey, H. A., & Nicholls, J. A. F. (1993). The enigma of cooperative advertising. Journal of Business & Industrial Marketing, 8, 70–79.
Rusdiansyah, A., & Tsao, D. B. (2005). An integrated model of the periodic delivery problems for vending-machine supply chains. Journal of Food Engineering, 70(3), 421–434.
Samuelson, P. (1947). Foundations of Economic Analysis. Harvard University Press, Cambridge, MA.
Simchi-Livi, D., & Kaminsky, P., Simchi-Livi, E. (2000). Designing and managing the supply chain-concepts strategies and case studies. Singapore: McGraw-Hill.
Subramanyam, S., & Kumaraswamy, S. (1981). EOQ formula under varying marketing polices and conditions. AIIE Transactions, 13, 312–314.
Viswanathan, S., & Piplani, R. (2001). Coordinating supply chain inventories through common replenishment epochs. European Journal of Operational Research, 129 (2), 277–286.
Vives, X. (1990). Nash equilibrium with strategic complementarities. Journal of Mathematical Economics, 19, 305–321.
Wang, Q. N. (2002). Determination of suppliers’ optimal quantity discount schedules with heterogeneous buyers. Naval Research Logistics, 49(1), 46–59.
Weng, Z. K. (1995). Channel coordination and quantity discounts. Management Science, 41(9), 1509–1522.
Woo, Y. Y., Hsu, S. L., & Wu, S. S. (2001). An integrated inventory model for a single vendor and multiple buyers with ordering cost reduction. International Journal of Production Economics, 73(3), 203–215.
Yao, Y. L., Evers, P. T., & Dresner, M. E. (2007). Supply chain integration in vendor managed inventory. Decision Support Systems, 43(2), 663–674.
Yao, Y., Dong, Y., & Dresner, M. (2010). Managing supply chain backorders under vendor managed inventory: An incentive approach and empirical analysis, European Journal of Operational Research, 203(2), 350-359.
Yu, Y. G., & Liang, L. (2004). An integrated vendor-managed-inventory model for end product being deteriorating item. Chinese Journal of Management Science, 12, 32–37. in Chinese.
Yu, Y., Chu, F., & Chen, H. (2009). A Stackelberg game and its improvement in a VMI system with a manufacturing vendor. European Journal of Operational Research, 192, 929–948.
Yu, Y., Huang, G.Q., & 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, 368–382,
Zhang, T., Liang, L., Yu, Y., & Yu, Y. (2007). An integrated vendor-managed inventory model for a two-echelon system with order cost reduction. International Journal of Production Economics, 109 (1–2), 241–253.
Banerjee, A. (1986). A joint economic-lot-size model for purchase and vendor. Decision Sciences, 17, 292–311.
Banerjee, A., & Banerjee, S. (1992). Coordinated, orderless inventory replenishment for a single supplier and multiple buyers through electronic data interchange. International Journal of Technology Management, 7, 328–336.
Banerjee, A., & Burton, J.S. (1994). Coordinated vs independent inventory replenishment policies for a vendor and multiple buyers. International Journal of Production Economics, 35 (1–3), 215–222.
Cachon, G.P., & Fisher, M. (2000). Supply chain inventory management and the value of shared information. Management Science, 46 (8), 1032–1048.
Cachon, G. (2001). Stock wars: Inventory competition in a two-echelon supply chain with multiple retailers. Operations Research, 49 (5), 658–674.
Cachon, G., & Netessine, S. (2004). Game theory in supply chain analysis, In: Simchi-Levi, S. D. Wu, & M. Shen (Eds.), Handbook of supply chain analysis in the E-business Era. USA: Kluwer Academic Publishers.
Chakravarty, A.K., & Goyal, S.K. (1986). Multi-item inventory grouping with dependent set-up cost and group overhead cost. Engineering Costs and Production Economics, 10 (1), 13–23.
Chen, F. R., & Federgruen, A., & Zheng, Y. S. (2001). Coordination mechanisms for a distribution system with one supplier and multiple retailers. Management Science, 47(5), 693–708.
Chen, J. M., & Chen, T. H. (2005). Effects of joint replenishment and channel coordination for managing multiple deteriorating products in a supply chain. Journal of the Operational Research Society, 56(10), 1224–1234.
Cobb, C. W., & Douglas, P. H. (1928). A theory of production. American Economic Review, 18(Suppl.), 139–165.
De Toni, A. F., & Zamolo, E. (2005). From a traditional replenishment system to vendor-managed inventory: A case study from the household electrical appliances sector. International Journal of Production Economics, 96(1), 63–79.
Disney, S. M., & Towill, D. R. (2003). Bullwhip reduction in supply chains: The impact of VMI. International Journal of Operations and Production Management, 23(6), 625–651.
Dong, Y., & Xu, K. F. (2002). A supply chain model of vendor managed inventory. Transportation Research Part E-Logistics and Transportation Review, 38(2), 75–95.
Goyal, S. K. (1977). An integrated inventory model for a single supplier-single customer problem. International Journal of Production Research, 15(1), 107–111.
Goyal, S. K. (1988). A joint economic-lot-size model for purchase and vendor: A comment. Decision Sciences, 19, 236–241.
Goyal, S. K., & Gunasekaran, A. (1995). An integrated production-inventory marketing model for deteriorating items. Computers & Industrial Engineering, 28(4), 755–762.
Huang, Z. M., & Li, S. X. (2001). Co-op advertising models in manufacturer–retailer supply chains: A game theory approach. European Journal of Operational Research, 135(3), 527–544.
Kohli, R., & Park, H. (1994). Coordinating buyer–seller transactions across multiple products. Management Science, 40(9), 45–50.
Kotler, P. (1971). In market decision making: A model building approach. New York: Holt Rinchart Winstion.
Ladany, S., & Sternleib, A. (1974). The interaction of economic ordering quantities and marketing policies. AIIE Transactions, 6, 35–40.
Lal, R., & Staelin, R. (1984). An approach for developing an optimal discount pricing policy. Management Science, 30, 1524–1539.
Lau, A. H. L., & Lau, H. S. (2004). Some two-echelon supply-chain games: Improving from deterministic-symmetric-information to stochastic asymmetric-information models. European Journal of Operational Research, 161(1), 203–223.
Lau, A. H. L., Lau, H. S., & Zhou, Y. W. (2007). A stochastic and asymmetric-information framework for a dominant-manufacturer supply chain. European Journal of Operational Research, 176(1), 295–316.
Lee, H. L., So, K. C., & Tang, C. S. (2000). The value of information sharing in a two level supply chain. Management Science, 46(5), 626–643.
Liou, Y. C., Schaible, S., & Yao, J. C. (2006). Supply chain inventory management via a Stackelberg equilibrium. Journal of Industrial and Management Optimization, 2(1), 81–94.
Lu, L. (1995). A one-vendor multi-buyer integrated inventory model. European Journal of Operational Research, 81, 312–323.
Mitra, S., & Chatterjee, A. K. (2004). Leveraging information in multi-echelon inventory systems. European Journal of Operational Research, 152(1), 263–280.
Monahan, J. P. (1984). A quantity discount pricing model to increase vendor profits. Management Science, 30(6), 720–726.
Munson, C. L., & Rosenblatt, M. J. (2001). Coordinating a three-level supply chain with quantity discounts. IIE Transactions, 33(5), 371–384.
Qin, Y., Tang, H., & Guo, C. (2007). Channel coordination and volume discounts with price-sensitive demand. International Journal of Production Economics, 105(1), 43–53.
Rosenblatt, M. J., & Lee, H. L. (1985). Improving profitability with quantity discounts under fixed demand. IIE Transactions, 17, 388–395.
Roslow, S., Laskey, H. A., & Nicholls, J. A. F. (1993). The enigma of cooperative advertising. Journal of Business & Industrial Marketing, 8, 70–79.
Rusdiansyah, A., & Tsao, D. B. (2005). An integrated model of the periodic delivery problems for vending-machine supply chains. Journal of Food Engineering, 70(3), 421–434.
Samuelson, P. (1947). Foundations of Economic Analysis. Harvard University Press, Cambridge, MA.
Simchi-Livi, D., & Kaminsky, P., Simchi-Livi, E. (2000). Designing and managing the supply chain-concepts strategies and case studies. Singapore: McGraw-Hill.
Subramanyam, S., & Kumaraswamy, S. (1981). EOQ formula under varying marketing polices and conditions. AIIE Transactions, 13, 312–314.
Viswanathan, S., & Piplani, R. (2001). Coordinating supply chain inventories through common replenishment epochs. European Journal of Operational Research, 129 (2), 277–286.
Vives, X. (1990). Nash equilibrium with strategic complementarities. Journal of Mathematical Economics, 19, 305–321.
Wang, Q. N. (2002). Determination of suppliers’ optimal quantity discount schedules with heterogeneous buyers. Naval Research Logistics, 49(1), 46–59.
Weng, Z. K. (1995). Channel coordination and quantity discounts. Management Science, 41(9), 1509–1522.
Woo, Y. Y., Hsu, S. L., & Wu, S. S. (2001). An integrated inventory model for a single vendor and multiple buyers with ordering cost reduction. International Journal of Production Economics, 73(3), 203–215.
Yao, Y. L., Evers, P. T., & Dresner, M. E. (2007). Supply chain integration in vendor managed inventory. Decision Support Systems, 43(2), 663–674.
Yao, Y., Dong, Y., & Dresner, M. (2010). Managing supply chain backorders under vendor managed inventory: An incentive approach and empirical analysis, European Journal of Operational Research, 203(2), 350-359.
Yu, Y. G., & Liang, L. (2004). An integrated vendor-managed-inventory model for end product being deteriorating item. Chinese Journal of Management Science, 12, 32–37. in Chinese.
Yu, Y., Chu, F., & Chen, H. (2009). A Stackelberg game and its improvement in a VMI system with a manufacturing vendor. European Journal of Operational Research, 192, 929–948.
Yu, Y., Huang, G.Q., & 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, 368–382,
Zhang, T., Liang, L., Yu, Y., & Yu, Y. (2007). An integrated vendor-managed inventory model for a two-echelon system with order cost reduction. International Journal of Production Economics, 109 (1–2), 241–253.