Centralized and Competitive Inventory Models with Demand Substitution

References

• Agrawal N., Smith S. Optimal retail assortments for substitutable items purchased in sets. (1998) . Working paper, Santa Clara University, Santa Clara, CAGoogle Scholar
• Anupindi R., Dada M., Gupta S. Estimation of consumer demand with stock-out based substitution: An application to vending machine products. Marketing Sci. (1998) 17(4):406–423Link, Google Scholar
• Ernst R., Kouvelis P. The effects of selling packaged goods on inventory decisions. Management Sci. (1999) 45(8):1142–1155Link, Google Scholar
• Glasserman P., Yao D. Perturbation analysis of production networks. Stochastic Modeling and Analysis of Manufacturing Systems (1994) (Springer-Verlag, New York) Crossref, Google Scholar
• Horn A. R., Johnson C. A.Matrix Analysis (1985) (Cambridge University Press, Cambridge, U.K) Crossref, Google Scholar
• Lippman S. A., McCardle K. F. The competitive newsboy. Oper. Res. (1997) 45(1):54–65Link, Google Scholar
• Mahajan S., van Ryzin G., Tayur S., Ganeshan R., Magazine M. Retail inventories and consumer choice. Quantitative Models for Supply Chain Management (1999) (Kluwer Academic Publishers, Norwell, MA) Crossref, Google Scholar
• Mahajan S., van Ryzin G. Stocking retail assortments under dynamic consumer substitution. Oper. Res. (2001a) 49(3):334–351Link, Google Scholar
• Mahajan S., van Ryzin G. Inventory competition under dynamic consumer choice. Oper. Res. (2001b) 49(5):646–657Link, Google Scholar
• McGillivray A. R., Silver E. A. Some concepts for inventory control under substitutable demand. INFOR (1978) 16(1):47–63Google Scholar
• Moulin H.Game Theory for the Social Sciences (1986) 2nd ed.(New York University Press, New York) Google Scholar
• Muller A., Scarsini M. Some remarks on the supermodular order. J. Multivariate Anal. (2000) 73(1):107–119Crossref, Google Scholar
• Noonan P. S. When customers choose: A multi-product, multi-location newsboy model with substitution. (1995) . Working paper, Emory University, Atlanta, GAGoogle Scholar
• Parlar M. Game theoretic analysis of the substitutable product inventory problem with random demands. Naval Res. Logist. (1988) 35(3):397–409Crossref, Google Scholar
• Parlar M., Goyal S. K. Optimal ordering decisions for two substitutable products with stochastic demand. OPSEARCH (1984) 21(1):1–15Google Scholar
• Rajaram K., Tang C. S. The impact of product substitution on retail merchandising. Eur. J. Oper. Res. (2001) 135(3):582–601Crossref, Google Scholar
• Smith S. A., Agrawal N. Management of multi-item retail inventory system with demand substitution. Oper. Res. (2000) 48(1):50–64Link, Google Scholar
• Topkis D. Minimizing a submodular function on a lattice. Oper. Res. (1978) 26(2):305–321Link, Google Scholar
• Topkis D.Supermodularity and Complementarity (1998) (Princeton University Press, Princeton NJ) Crossref, Google Scholar
• Wang Q., Parlar M. A three-person game theory model arising in stochastic inventory control theory. Eur. J. Oper. Res. (1994) 76(1):83–97Crossref, Google Scholar