Optimal control of replenishment and substitution in an inventory system with nonstationary batch demand

Production and Operations Management

Volumn 20, Issue 5, 2011, Pages 727-736

  Xu, He ^a   Yao, David D ^b   Zheng, Shaohui ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b Department of Earth and Environmental Sciences   (United States)

^c HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

concavity; inventory control; production substitution; revenue maximization

Indexed keywords

EID: 80052827671     PISSN: 10591478     EISSN: 19375956     Source Type: Journal    
DOI: 10.1111/j.1937-5956.2010.01191.x     Document Type: Article

References (36)

1. Axsater, S., 2003. A new decision rule for lateral transshipments in inventory systems. Manage. Sci. 49 (9): 1168-1179.
2. Bassok, Y., R. Anupindi, R. Akella,. 1999. Single-period multiproduct inventory models with substitution. Oper. Res. 47 (4): 632-642.
3. Benjaafar, S., W. L. Cooper, J. S. Kim,. 2005. On the benefits of inventory pooling in production-inventory systems. Manage. Sci. 51 (4): 548-565. (Pubitemid 41009652)
4. Bitran, G. R., R. A. Caldentey, R. Vial,. 2007. Pricing policies for perishable products with demand substitution. Working paper, New York University, New York.
5. Caro, F., J. Gallien,. 2007. Dynamic assortment with demand learning for seasonal consumer goods. Manage. Sci. 53 (2): 276-293.
6. Chao, X., H. Chen, S. Zheng,. 2008. Joint replenishment and pricing decisions in inventory systems with stochastically dependent supply capacity. Eur. J. Oper. Res. 191 (1): 140-153. (Pubitemid 351632998)
7. Chen, H., O. Wu, D. D. Yao,. 2010. On the benefit of inventory-based dynamic pricing strategies. Prod. Oper. Manag. 19 (3): 249-260.
8. Chen, X., D. Simchi-Levi,. 2004. Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: The finite horizon case. Oper. Res. 52 (6): 887-896. (Pubitemid 40122349)
9. Ding, Q., P. Kouvelis, J. Milner,. 2006. Dynamic pricing through discount for optimizing multiple class demand fulfillment. Oper. Res. 54 (1): 169-183.
10. Dong, L., P. Kouvelis, Z. Tian,. 2009. Dynamic pricing and inventory control of substitute products. Manuf. Serv. Oper. Manage. 11 (2): 317-339.
11. Dong, L., N. Rudi,. 2004. Who benefits from transshipment? Exogenous vs. endogenous wholesale prices. Manage. Sci. 50 (5): 645-657.
12. Elmaghraby, W., P. Keskinocak,. 2003. Dynamic pricing in the presence of inventory considerations: Research overview, current practices, and future directions. Manage. Sci. 49 (10): 1287-1309.
13. Federgruen, A., A. Heching,. 2002. Multilocation combined pricing and inventory control. Manuf. Serv. Oper. Manage. 4 (4): 275-295.
14. Honhon, D., V. Gaur, S. Seshadri,. 2004. Optimal assortment planning under dynamic substitution: A homogeneous population model and extensions. Working paper, Stern School of Business, New York University, New York.
15. Hsu, A., Y. Bassok,. 1999. Random yield and random demand in a production system with downward substitution. Oper. Res. 47 (2): 277-290.
16. Karaesmen, I., G. van Ryzin,. 2004. Overbooking with substitutable inventory classes. Oper. Res. 52 (1): 83-104. (Pubitemid 40000815)
17. Kok, A. G., M. L. Fisher,. 2007. Demand estimation and assortment optimization under substitution: Methodology and application. Oper. Res. 55 (6): 1001-1021. (Pubitemid 351159514)
18. Kumar, A., L. B. Schwarz, J. E. Ward,. 1995. Risk-pooling along a fixed delivery route using a dynamic inventory-allocation policy. Manage. Sci. 41 (2): 344-362.
19. Li, Q., S. Zheng,. 2006. Joint inventory replenishment and pricing control for systems with uncertain yield and demand. Oper. Res. 54 (4): 696-705. (Pubitemid 44521581)
20. Mahajan, S., G. van Ryzin,. 2001. Stocking retail assortments under dynamic consumer substitution. Oper. Res. 49 (3): 334-351. (Pubitemid 32672506)
21. Netessine, S., N. Rudi,. 2003. Centralized and competitive inventory models with demand substitution. Oper. Res. 51 (2): 329-335.
22. Parlar, M., S. K. Goyal,. 1984. Optimal ordering decisions for two substitutable products with stochastic demands. OPSEARCH 21 (1): 1-15.
23. Pasternack, B., Z. Drezner,. 1990. Optimal inventory policies for substitutable commodities with stochastic demand. Nav. Res. Logist. 38 (2): 221-240.
24. Petruzzi, N. C., M. Dada,. 1999. Pricing and the newsvendor problem: A review with extensions. Oper. Res. 47 (2): 183-194.
25. Rao, U., J. Swaminathan, J. Zhang,. 2004. Multi-product inventory planning with downward substitution, stochastic demand and setup costs. IIE Trans. 36 (1): 59-71.
26. Shumsky, R. A., F. Zhang,. 2009. Dynamic capacity management with substitution. Oper. Res. 57 (3): 671-684.
27. Smith, S. A., N. Agrawal,. 2000. Management of multi-item retail inventory systems with demand substitution. Oper. Res. 48 (1): 50-64.
28. Song, J., Z. Xue,. 2007. Demand management and inventory control for substitutable products. Working paper, Fuqua School of Business, Duke University, Durham, NC.
29. Suh, M., G. Aydin,. 2007. Dynamic pricing of substitutable products with limited inventories under logit demand. Working paper, University of Michigan, Ann Arbor, MI.
30. Tagaras, G., M. A. Cohen,. 1992. Pooling in two-location inventory systems with non-negligible replenishment lead times. Manage. Sci. 38 (8): 1067-1083.
31. Tang, C. S., R. Yin,. 2007. Joint ordering and pricing strategies for managing substitutable products. Prod. Oper. Manag. 16 (1): 138-153.
32. Yano, C. A., S. M. Gilbert,. 2003. Coordinated pricing and production/procurement decisions: A review., A. Chakravarty, J. Eliashberg, eds. Managing Business Interfaces: Marketing, Engineering and Manufacturing Perspectives. Kluwer Academic Publishers, Boston, MA, 65-104.
33. Yao, D. D., Y. Xiao,. 2007. Asymptotically optimal decisions for replenishment and transshipment. Proceedings of INFORMS/MSOM Conference, Beijing.
34. Yao, D. D., S. Zheng,. 2002. Dynamic Control of Quality in Production-Inventory Systems: Coordination and Optimization. Springer-Verlag, New York.
35. Yao, D. D., S. Zheng,. 2003. Substitutable inventory: Single- and multi-period models., J. G. Shanthikumar, D. D. Yao, W. H. M. Zij, eds. Stochastic Modeling and Optimization of Manufacturing Systems and Supply Chains. Kluwer Academic Publishers, Boston, MA, 177-201.
36. Yin, R., K. Rajaram,. 2007. Joint pricing and inventory control with a Markovian demand model. Eur. J. Oper. Res. 182 (1): 113-126. (Pubitemid 46561140)