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Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice Model

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Page 1: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Huseyin Topaloglu Cornell University

School of ORIE

Jake Feldman Cornell University

School of ORIE

Revenue Management under a Markov Chain Based Choice

Model

Page 2: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Problem Description

Page 3: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Markov Chain Based Choice Model

Page 4: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Purchasing Dynamics

Page 5: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Purchasing Dynamics

Page 6: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Purchase Probabilities

Page 7: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Purchase Probabilities

Page 8: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Purchase Probabilities

Page 9: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Motivating the MC Based Choice Model

Page 10: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Static Assortment Optimization

Page 11: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Static Assortment Optimization

Page 12: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Static Assortment Optimization

Page 13: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Static Assortment Optimization

Page 14: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Static Assortment Optimization

Page 15: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Novel LP Formulation

Page 16: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Novel LP Formulation

Page 17: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Property of Extreme Point

Page 18: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Property of Extreme Points

Page 19: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Property of Extreme Points

Page 20: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Network Revenue Management

Page 21: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Network Revenue Management

Page 22: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Deterministic Linear Program

Page 23: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Reduced Deterministic Linear Program

Page 24: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Finding a Policy

Page 25: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Recovering DLP Solution

Page 26: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Recovering DLP Solution

Page 27: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Recovering DLP Solution

Page 28: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Recovering DLP Solution

Page 29: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Recovering DLP Solution

Page 30: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Recovering DLP Solution

Page 31: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Recovering DLP Solution

Page 32: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Computational Experiments

Page 33: Huseyin Topaloglu Cornell University School of ORIE Jake Feldman Cornell University School of ORIE Revenue Management under a Markov Chain Based Choice

Thank you