2012
DOI: 10.1287/opre.1110.1012
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Estimating Primary Demand for Substitutable Products from Sales Transaction Data

Abstract: We propose a method for estimating substitute and lost demand when only sales and product availability data are observable, not all products are displayed in all periods (e.g., due to stockouts or availability controls), and the seller knows its aggregate market share. The model combines a multinomial logit (MNL) choice model with a nonhomogeneous Poisson model of arrivals over multiple periods. Our key idea is to view the problem in terms of primary (or first-choice) demand; that is, the demand that would hav… Show more

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Cited by 234 publications
(111 citation statements)
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“…They also reported a case study that tested their method . Vulcano et al (2012) proposed a method for estimating substitute and lost demand in a general sales context (not just airline RM) when only sales and product availability are observable and assuming the seller knows its aggregate market share. They used a multinomial logit choice model with a non-homogeneous Poisson model of arrivals over multiple periods.…”
Section: General Surveys and Simulationsmentioning
confidence: 99%
“…They also reported a case study that tested their method . Vulcano et al (2012) proposed a method for estimating substitute and lost demand in a general sales context (not just airline RM) when only sales and product availability are observable and assuming the seller knows its aggregate market share. They used a multinomial logit choice model with a non-homogeneous Poisson model of arrivals over multiple periods.…”
Section: General Surveys and Simulationsmentioning
confidence: 99%
“…This problem has been discussed in detail in Cooper et al (2006). Spiral-down effect problem has been addressed by considering the upsell rate in forecasting and optimization models (see for example Brumelle et al, 1990, Belobaba and Weatherford, 1996, Fiig et al, 2010, Vulcano et al, 2012. However, estimation of the sell-up value involves many assumptions and approximations.…”
Section: Modeling Sell-up Potentialmentioning
confidence: 99%
“…These data, along with business inputs from the airline, serve in coming up with the untruncated demand for each service-class-POS combination, the competition and business rules. The multi-flight expectation maximization (MFEM) algorithm proposed in Ratliff et al (2008) and Vulcano et al (2012) is used for demand unconstraining. MFEM jointly estimates spill and recapture along with demand from the bookings and availability information.…”
Section: Apos Frameworkmentioning
confidence: 99%
“…Q-forecast Hopperstad & Belobaba (2004) Hybrid forecast Boyd & Kallesen (2004) Choice-based, Vulcano (2012) n/a Direct Observation, Inverse Cumulative, Forecast Prediction Hopperstad et al (2006Hopperstad et al ( , 2007 Choice-based, Vulcano (2012) Unconstrained demand Lee (1990), Oancea & Bala (2013) ??? Belobaba (1987), EMSR Smith & Penn (1992) Demand forecasting and measuring forecast accuracy For this step, similar time-series methods were applied.…”
Section: Literature Reviewmentioning
confidence: 99%
“…An iterative approach for solving choice parameters is described in Vulcano et al (2010Vulcano et al ( , 2012. This approach calculates the expected value of underlying demand (E-step) conditioned on current estimates of the β parameters, followed by the maximization of the log-likelihood (M-step) to obtain next-iteration parameter estimates.…”
Section: Complexities Of Dependent Demand Forecastingmentioning
confidence: 99%