A Markov Chain Approximation to Choice Modeling

References

• Bapat RB, Raghavan TES (1997) Nonnegative Matrices and Applications, Encyclopedia of Mathematics and Its Applications, Vol. 64 (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
• Ben-Akiva M, Lerman S (1985) Discrete Choice Analysis: Theory and Application to Travel Demand (MIT Press, Cambridge, MA).Google Scholar
• Chandukala SR, Kim J, Otter T (2008) Choice Models in Marketing (Now Publishers, Breda, Netherlands).Google Scholar
• Chen F, Bassok Y (2008) Variety and substitution. Working paper, Marshall School of Business, University of California at Los Angeles, Los Angeles.Google Scholar
• Cinlar E (2013) Introduction to Stochastic Processes (Courier Corporation, North Chelmsford, MA).Google Scholar
• Davis JM, Gallego G, Topaloglu H (2014) Assortment optimization under variants of the nested logit model. Oper. Res. 62(2):250–273.Link, Google Scholar
• Farias V, Jagabathula S, Shah D (2011) Assortment Optimization Under General Choice. arXiv:1108.3596v1.Google Scholar
• Farias VF, Jagabathula S, Shah D (2012) A nonparametric approach to modeling choice with limited data. Management Sci. 59(2):305–322.Link, Google Scholar
• Gallego G, Iyengar G, Phillips R, Dubey A (2004) Managing flexible products on a network. CORC Technical Report, Columbia University, New York.Google Scholar
• Gallego G, Ratliff R, Shebalov S (2015) A general attraction model and sales-based linear program for network revenue management under customer choice. Oper. Res. 63(1):212–232.Link, Google Scholar
• Gaur V, Honhon D (2006) Assortment planning and inventory decisions under a locational choice model. Management Sci. 52(10):1528–1543.Link, Google Scholar
• Guadagni PM, Little JDC (1983) A logit model of brand choice calibrated on scanner data. Marketing Sci. 2(3):203–238.Link, Google Scholar
• Kök AG, Fisher ML (2007) Demand estimation and assortment optimization under substitution: Methodology and application. Oper. Res. 55(6):1001–1021.Link, Google Scholar
• Kök AG, Fisher ML, Vaidyanathan R (2009) Assortment planning: Review of literature and industry practice. Agrawal N, Smith SA, eds. Retail Supply Chain Management (Springer, New York), 99–153.Google Scholar
• Lancaster K (1990) The economics of product variety: A survey. Marketing Sci. 9(3):189–206.Link, Google Scholar
• Luce RD (1959) Individual Choice Behavior: A Theoretical Analysis (John Wiley & Sons, New York).Google Scholar
• Mahajan S, van Ryzin G (2001) Stocking retail assortments under dynamic consumer substitution. Oper. Res. 49(3):334–351.Link, Google Scholar
• McFadden D (1973) Conditional logit analysis of qualitative choice behavior. Zarembka P, ed. Frontiers in Econometrics (Academic Press, New York), 105–142.Google Scholar
• McFadden D (1978) Modeling the choice of residential location. Transportation Res. Record 673:72–77.Google Scholar
• McFadden D (1980) Econometric models for probabilistic choice among products. J. Bus. 53(3):13–29.Crossref, Google Scholar
• McFadden D, Train K (2000) Mixed mnl models for discrete response. J. Appl. Econometrics 15(5):447–470.Crossref, Google Scholar
• Natarajan K, Song M, Teo C-P (2009) Persistency model and its applications in choice modeling. Management Sci. 55(3):453–469.Link, Google Scholar
• Netessine S, Rudi N (2003) Centralized and competitive inventory models with demand substitution. Oper. Res. 51(2):329–335.Link, Google Scholar
• Parlar M, Goyal SK (1984) Optimal ordering decisions for two substitutable products with stochastic demands. Oper. Res. 21(1):1–15.Google Scholar
• Plackett RL (1975) The analysis of permutations. Appl. Statist. 24(2):193–202.Crossref, Google Scholar
• Puterman ML (2014) Markov Decision Processes: Discrete Stochastic Dynamic Programming (John Wiley & Sons, Hoboken, NJ).Google Scholar
• Ramdas K (2003) Managing product variety: An integrative review and research directions. Production Oper. Management 12(1):79–101.Crossref, Google Scholar
• Rusmevichientong P, Topaloglu H (2012) Robust assortment optimization in revenue management under the multinomial logit choice model. Oper. Res. 60(4):865–882.Link, Google Scholar
• Rusmevichientong P, Shmoys D, Topaloglu H (2010) Assortment optimization with mixtures of logits. Technical report, School of IEOR, Cornell University.Google Scholar
• Smith SA, Agrawal N (2000) Management of multi-item retail inventory systems with demand substitution. Oper. Res. 48(1):50–64.Link, Google Scholar
• Talluri K, Van Ryzin G (2004) Revenue management under a general discrete choice model of consumer behavior. Management Sci. 50(1):15–33.Link, Google Scholar
• Thurstone LL (1927) A law of comparative judgment. Psych. Rev. 34(4):273–286.Crossref, Google Scholar
• van Ryzin G, Vulcano G (2011) An expectation-maximization algorithm to estimate a general class of non-parametric choice-models. Technical report, working paper.Google Scholar
• Wierenga B (2008) Handbook of Marketing Decision Models, International Series in Operations Research and Management Science, Vol. 121 (Springer, New York).Crossref, Google Scholar
• Williams HCWL (1977) On the formation of travel demand models and economic evaluation measures of user benefit. Environment Planning A 3(9):285–344.Crossref, Google Scholar
• Zhang D, Cooper WL (2005) Revenue management for parallel flights with customer-choice behavior. Oper. Res. 53(3):415–431.Link, Google Scholar