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Constant-Factor Algorithms for Revenue Management with Consecutive Stays

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  • Ming Hu
  • Tongwen Wu

Abstract

We study network revenue management problems motivated by applications such as railway ticket sales and hotel room bookings. Request types that require a resource for consecutive stays sequentially arrive with known arrival probabilities. We investigate two scenarios: the reject-or-accept scenario, where the request can be fulfilled by any available resource, and the choice-based scenario, which generalizes the former by incorporating customer preferences through basic attraction models. We develop constant-factor approximation algorithms: $1-1/e$ for the reject-or-accept scenario and $0.125$ for the choice-based scenario.

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  • Ming Hu & Tongwen Wu, 2025. "Constant-Factor Algorithms for Revenue Management with Consecutive Stays," Papers 2506.00909, arXiv.org.
  • Handle: RePEc:arx:papers:2506.00909
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    References listed on IDEAS

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    1. Daniel Adelman, 2007. "Dynamic Bid Prices in Revenue Management," Operations Research, INFORMS, vol. 55(4), pages 647-661, August.
    2. Jackie Baek & Will Ma, 2022. "Technical Note—Bifurcating Constraints to Improve Approximation Ratios for Network Revenue Management with Reusable Resources," Operations Research, INFORMS, vol. 70(4), pages 2226-2236, July.
    3. Yuhang Ma & Paat Rusmevichientong & Mika Sumida & Huseyin Topaloglu, 2020. "An Approximation Algorithm for Network Revenue Management Under Nonstationary Arrivals," Operations Research, INFORMS, vol. 68(3), pages 834-855, May.
    4. Guillermo Gallego & Garrett van Ryzin, 1997. "A Multiproduct Dynamic Pricing Problem and Its Applications to Network Yield Management," Operations Research, INFORMS, vol. 45(1), pages 24-41, February.
    5. Dimitris Bertsimas & Ioana Popescu, 2003. "Revenue Management in a Dynamic Network Environment," Transportation Science, INFORMS, vol. 37(3), pages 257-277, August.
    6. Guillermo Gallego & Richard Ratliff & Sergey Shebalov, 2015. "A General Attraction Model and Sales-Based Linear Program for Network Revenue Management Under Customer Choice," Operations Research, INFORMS, vol. 63(1), pages 212-232, February.
    7. Martin I. Reiman & Qiong Wang, 2008. "An Asymptotically Optimal Policy for a Quantity-Based Network Revenue Management Problem," Mathematics of Operations Research, INFORMS, vol. 33(2), pages 257-282, May.
    8. Guillermo Gallego & Huseyin Topaloglu, 2019. "Revenue Management and Pricing Analytics," International Series in Operations Research and Management Science, Springer, number 978-1-4939-9606-3, December.
    9. Lisa Fleischer & Michel X. Goemans & Vahab S. Mirrokni & Maxim Sviridenko, 2011. "Tight Approximation Algorithms for Maximum Separable Assignment Problems," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 416-431, August.
    10. Ali Aouad & Ömer Sarıtaç, 2022. "Dynamic Stochastic Matching Under Limited Time," Operations Research, INFORMS, vol. 70(4), pages 2349-2383, July.
    11. Stefanus Jasin & Sunil Kumar, 2013. "Analysis of Deterministic LP-Based Booking Limit and Bid Price Controls for Revenue Management," Operations Research, INFORMS, vol. 61(6), pages 1312-1320, December.
    12. Dan Zhang & Daniel Adelman, 2009. "An Approximate Dynamic Programming Approach to Network Revenue Management with Customer Choice," Transportation Science, INFORMS, vol. 43(3), pages 381-394, August.
    13. Stefanus Jasin & Sunil Kumar, 2012. "A Re-Solving Heuristic with Bounded Revenue Loss for Network Revenue Management with Customer Choice," Mathematics of Operations Research, INFORMS, vol. 37(2), pages 313-345, May.
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