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    Rights statement: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in IMA Journal of Management Mathematics following peer review. The definitive publisher-authenticated version Andreas Papayiannis, Paul V Johnson, Dmitry Yumashev, Peter Duck; Revenue management of airport car parks in continuous time, IMA Journal of Management Mathematics, 30, 1, dpy015, https://doi.org/10.1093/imaman/dpy015 is available online at: https://academic.oup.com/imaman/article/30/1/1/5184578

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Revenue management of airport car parks in continuous time

Research output: Contribution to journalJournal articlepeer-review

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Revenue management of airport car parks in continuous time. / Papayiannis, Andreas; Johnson, Paul; Yumashev, Dmitry; Duck, Peter.

In: IMA Journal of Management Mathematics, Vol. 30, No. 1, 01.01.2019, p. 1-35.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Papayiannis, A, Johnson, P, Yumashev, D & Duck, P 2019, 'Revenue management of airport car parks in continuous time', IMA Journal of Management Mathematics, vol. 30, no. 1, pp. 1-35. https://doi.org/10.1093/imaman/dpy015

APA

Papayiannis, A., Johnson, P., Yumashev, D., & Duck, P. (2019). Revenue management of airport car parks in continuous time. IMA Journal of Management Mathematics, 30(1), 1-35. https://doi.org/10.1093/imaman/dpy015

Vancouver

Papayiannis A, Johnson P, Yumashev D, Duck P. Revenue management of airport car parks in continuous time. IMA Journal of Management Mathematics. 2019 Jan 1;30(1):1-35. https://doi.org/10.1093/imaman/dpy015

Author

Papayiannis, Andreas ; Johnson, Paul ; Yumashev, Dmitry ; Duck, Peter. / Revenue management of airport car parks in continuous time. In: IMA Journal of Management Mathematics. 2019 ; Vol. 30, No. 1. pp. 1-35.

Bibtex

@article{cbe76f13d30b495abdb05b3254e8a51e,
title = "Revenue management of airport car parks in continuous time",
abstract = "We study the revenue management (RM) problem encountered in airport car parks, with the primary objective to maximize revenues under a continuous-time framework. The implementation of pre-booking systems for airport car parks has spread rapidly around the world and pre-booking is now available in most major airports. Currently, most RM practises in car parks are simple adjustments of those developed for hotels, exploiting the similarities between the two industries. However, airport car parks have a distinct setting where the price per day of a parking space is heavily discounted by the length of stay (LoS) of the booking. This is because the customer decision tends to be made after the length of the trip is already set, and it becomes a choice between parking or alternative modes of transport. Consequently, the LoS becomes a critical variable for revenue optimization. Since customers are able to book the parking by the minute, the resulting state space is very large, making a conventional network solution intractable . Instead, decomposed single-resource problems need to be considered. Here we develop a bid-price control strategy to manage the bookings and propose novel approaches to define such bid prices depending on the LoS, which could be utilized in real-time RM algorithms. Managing stochastic car park bookings by LoS in the decomposed single-resource approximation allowed us to achieve within 5% of the expected revenues for a multi-resource approximation, with a fraction of the computational effort. When expected demand exceeds the available parking capacity, the method increases the revenues by up to 45% relative to the first come, first served acceptance policy.",
keywords = "Revenue management, Dynamic programming, Continuous time, Length of stay",
author = "Andreas Papayiannis and Paul Johnson and Dmitry Yumashev and Peter Duck",
note = "This is a pre-copy-editing, author-produced PDF of an article accepted for publication in IMA Journal of Management Mathematics following peer review. The definitive publisher-authenticated version Andreas Papayiannis, Paul V Johnson, Dmitry Yumashev, Peter Duck; Revenue management of airport car parks in continuous time, IMA Journal of Management Mathematics, 30, 1, dpy015, https://doi.org/10.1093/imaman/dpy015 is available online at: https://academic.oup.com/imaman/article/30/1/1/5184578",
year = "2019",
month = jan,
day = "1",
doi = "10.1093/imaman/dpy015",
language = "English",
volume = "30",
pages = "1--35",
journal = "IMA Journal of Management Mathematics",
issn = "1471-678X",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Revenue management of airport car parks in continuous time

AU - Papayiannis, Andreas

AU - Johnson, Paul

AU - Yumashev, Dmitry

AU - Duck, Peter

N1 - This is a pre-copy-editing, author-produced PDF of an article accepted for publication in IMA Journal of Management Mathematics following peer review. The definitive publisher-authenticated version Andreas Papayiannis, Paul V Johnson, Dmitry Yumashev, Peter Duck; Revenue management of airport car parks in continuous time, IMA Journal of Management Mathematics, 30, 1, dpy015, https://doi.org/10.1093/imaman/dpy015 is available online at: https://academic.oup.com/imaman/article/30/1/1/5184578

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We study the revenue management (RM) problem encountered in airport car parks, with the primary objective to maximize revenues under a continuous-time framework. The implementation of pre-booking systems for airport car parks has spread rapidly around the world and pre-booking is now available in most major airports. Currently, most RM practises in car parks are simple adjustments of those developed for hotels, exploiting the similarities between the two industries. However, airport car parks have a distinct setting where the price per day of a parking space is heavily discounted by the length of stay (LoS) of the booking. This is because the customer decision tends to be made after the length of the trip is already set, and it becomes a choice between parking or alternative modes of transport. Consequently, the LoS becomes a critical variable for revenue optimization. Since customers are able to book the parking by the minute, the resulting state space is very large, making a conventional network solution intractable . Instead, decomposed single-resource problems need to be considered. Here we develop a bid-price control strategy to manage the bookings and propose novel approaches to define such bid prices depending on the LoS, which could be utilized in real-time RM algorithms. Managing stochastic car park bookings by LoS in the decomposed single-resource approximation allowed us to achieve within 5% of the expected revenues for a multi-resource approximation, with a fraction of the computational effort. When expected demand exceeds the available parking capacity, the method increases the revenues by up to 45% relative to the first come, first served acceptance policy.

AB - We study the revenue management (RM) problem encountered in airport car parks, with the primary objective to maximize revenues under a continuous-time framework. The implementation of pre-booking systems for airport car parks has spread rapidly around the world and pre-booking is now available in most major airports. Currently, most RM practises in car parks are simple adjustments of those developed for hotels, exploiting the similarities between the two industries. However, airport car parks have a distinct setting where the price per day of a parking space is heavily discounted by the length of stay (LoS) of the booking. This is because the customer decision tends to be made after the length of the trip is already set, and it becomes a choice between parking or alternative modes of transport. Consequently, the LoS becomes a critical variable for revenue optimization. Since customers are able to book the parking by the minute, the resulting state space is very large, making a conventional network solution intractable . Instead, decomposed single-resource problems need to be considered. Here we develop a bid-price control strategy to manage the bookings and propose novel approaches to define such bid prices depending on the LoS, which could be utilized in real-time RM algorithms. Managing stochastic car park bookings by LoS in the decomposed single-resource approximation allowed us to achieve within 5% of the expected revenues for a multi-resource approximation, with a fraction of the computational effort. When expected demand exceeds the available parking capacity, the method increases the revenues by up to 45% relative to the first come, first served acceptance policy.

KW - Revenue management

KW - Dynamic programming

KW - Continuous time

KW - Length of stay

U2 - 10.1093/imaman/dpy015

DO - 10.1093/imaman/dpy015

M3 - Journal article

VL - 30

SP - 1

EP - 35

JO - IMA Journal of Management Mathematics

JF - IMA Journal of Management Mathematics

SN - 1471-678X

IS - 1

ER -