IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v263y2017i3p996-1006.html
   My bibliography  Save this article

Optimizing healthcare network design under reference pricing and parameter uncertainty

Author

Listed:
  • Denoyel, Victoire
  • Alfandari, Laurent
  • Thiele, Aurélie

Abstract

Healthcare payers are exploring cost-containing policies to steer patients, through qualified information and financial incentives, towards providers offering the best value. With Reference Pricing (RP), a payer determines a maximum amount paid for a procedure, and patients selecting a provider charging more pay the difference. In a Tiered Network (TN), providers are stratified according to criteria such as quality and cost, each tier having a different out-of-pocket price. Motivated by a program recently implemented in California, we design an optimization model for payers combining both RP and TN, filling the gap of quantitative research on these novel payment policies. The main decision is to select which providers to exempt from RP, whose patients will face no out-of-pocket costs. Patients’ choice of a provider is modeled with a Multinomial Logit model. The objective is to minimize the payer’s cost, while constraints provide decision makers with levers for a trade-off between cost reduction and providers quality. We build a robust counterpart of our model to account for parameter uncertainty. Numerical experiments provide insights into how tiers are scattered on a price/quality plane. We argue that this system has strong potential in terms of costs reduction, quality increase for patients and visibility for high-value providers.

Suggested Citation

  • Denoyel, Victoire & Alfandari, Laurent & Thiele, Aurélie, 2017. "Optimizing healthcare network design under reference pricing and parameter uncertainty," European Journal of Operational Research, Elsevier, vol. 263(3), pages 996-1006.
  • Handle: RePEc:eee:ejores:v:263:y:2017:i:3:p:996-1006
    DOI: 10.1016/j.ejor.2017.05.050
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221717305143
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2017.05.050?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Patricia M. Danzon & Jonathan D. Ketcham, 2004. "Reference Pricing of Pharmaceuticals for Medicare: Evidence from Germany, the Netherlands, and New Zealand," NBER Chapters, in: Frontiers in Health Policy Research, Volume 7, pages 1-54, National Bureau of Economic Research, Inc.
    2. Brekke, Kurt R. & Konigbauer, Ingrid & Straume, Odd Rune, 2007. "Reference pricing of pharmaceuticals," Journal of Health Economics, Elsevier, vol. 26(3), pages 613-642, May.
    3. Manning, Willard G, et al, 1987. "Health Insurance and the Demand for Medical Care: Evidence from a Randomized Experiment," American Economic Review, American Economic Association, vol. 77(3), pages 251-277, June.
    4. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    5. Lopez-Casasnovas, Guillem & Puig-Junoy, Jaume, 2000. "Review of the literature on reference pricing," Health Policy, Elsevier, vol. 54(2), pages 87-123, November.
    6. Siegfried Schaible, 1976. "Fractional Programming. I, Duality," Management Science, INFORMS, vol. 22(8), pages 858-867, April.
    7. Dellino, Gabriella & Kleijnen, Jack P.C. & Meloni, Carlo, 2010. "Robust optimization in simulation: Taguchi and Response Surface Methodology," International Journal of Production Economics, Elsevier, vol. 125(1), pages 52-59, May.
    8. George B. Dantzig, 1957. "Discrete-Variable Extremum Problems," Operations Research, INFORMS, vol. 5(2), pages 266-288, April.
    9. Ho, William & Xu, Xiaowei & Dey, Prasanta K., 2010. "Multi-criteria decision making approaches for supplier evaluation and selection: A literature review," European Journal of Operational Research, Elsevier, vol. 202(1), pages 16-24, April.
    10. Gabriella Dellino & Jack P. C. Kleijnen & Carlo Meloni, 2012. "Robust Optimization in Simulation: Taguchi and Krige Combined," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 471-484, August.
    11. Paat Rusmevichientong & Huseyin Topaloglu, 2012. "Robust Assortment Optimization in Revenue Management Under the Multinomial Logit Choice Model," Operations Research, INFORMS, vol. 60(4), pages 865-882, August.
    12. A. L. Soyster, 1973. "Technical Note—Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming," Operations Research, INFORMS, vol. 21(5), pages 1154-1157, October.
    13. Brailsford, Sally & Vissers, Jan, 2011. "OR in healthcare: A European perspective," European Journal of Operational Research, Elsevier, vol. 212(2), pages 223-234, July.
    14. Gabrel, Virginie & Murat, Cécile & Thiele, Aurélie, 2014. "Recent advances in robust optimization: An overview," European Journal of Operational Research, Elsevier, vol. 235(3), pages 471-483.
    15. Nimrod Megiddo, 1979. "Combinatorial Optimization with Rational Objective Functions," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 414-424, November.
    16. Andritsos, Dimitrios A. & Tang, Christopher S., 2014. "Introducing competition in healthcare services: The role of private care and increased patient mobility," European Journal of Operational Research, Elsevier, vol. 234(3), pages 898-909.
    17. Dimitrios Andritsos & Christopher S. Tang, 2014. "Introducing competition in healthcare services: The role of private care and increased patient mobility," Post-Print hal-00977175, HAL.
    18. Werner Dinkelbach, 1967. "On Nonlinear Fractional Programming," Management Science, INFORMS, vol. 13(7), pages 492-498, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Juan Carlos Espinoza Garcia & Laurent Alfandari, 2018. "Robust location of new housing developments using a choice model," Annals of Operations Research, Springer, vol. 271(2), pages 527-550, December.
    2. Kwok Tai Chui & Wadee Alhalabi & Sally Shuk Han Pang & Patricia Ordóñez de Pablos & Ryan Wen Liu & Mingbo Zhao, 2017. "Disease Diagnosis in Smart Healthcare: Innovation, Technologies and Applications," Sustainability, MDPI, vol. 9(12), pages 1-23, December.
    3. Seyyed-Mahdi Hosseini-Motlagh & Mohammad Reza Ghatreh Samani & Behnam Karimi, 2023. "Resilient and social health service network design to reduce the effect of COVID-19 outbreak," Annals of Operations Research, Springer, vol. 328(1), pages 903-975, September.
    4. Laurent Alfandari & Victoire Denoyel & Aurélie Thiele, 2020. "Solving utility-maximization selection problems with Multinomial Logit demand: Is the First-Choice model a good approximation?," Annals of Operations Research, Springer, vol. 292(1), pages 553-573, September.
    5. Ni, Ji & Chen, Bowei & Allinson, Nigel M. & Ye, Xujiong, 2020. "A hybrid model for predicting human physical activity status from lifelogging data," European Journal of Operational Research, Elsevier, vol. 281(3), pages 532-542.
    6. Aswani, Anil & Kaminsky, Philip & Mintz, Yonatan & Flowers, Elena & Fukuoka, Yoshimi, 2019. "Behavioral modeling in weight loss interventions," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1058-1072.
    7. Deng, Yewen & Li, Na & Jiang, Zhibin & Xie, Xiaoqing & Kong, Nan, 2021. "Optimal differential subsidy policy design for a workload-imbalanced outpatient care network," Omega, Elsevier, vol. 99(C).
    8. Méndez-Vogel, Gonzalo & Marianov, Vladimir & Lüer-Villagra, Armin, 2023. "The follower competitive facility location problem under the nested logit choice rule," European Journal of Operational Research, Elsevier, vol. 310(2), pages 834-846.
    9. Ma, Peng & Gong, Yeming & Mirchandani, Prakash, 2020. "Trade-in for remanufactured products: Pricing with double reference effects," International Journal of Production Economics, Elsevier, vol. 230(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Wei & (Ato) Xu, Wangtu, 2017. "Simulation-based robust optimization for the schedule of single-direction bus transit route: The design of experiment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 203-230.
    2. Jeong, Jaehee & Premsankar, Gopika & Ghaddar, Bissan & Tarkoma, Sasu, 2024. "A robust optimization approach for placement of applications in edge computing considering latency uncertainty," Omega, Elsevier, vol. 126(C).
    3. Antonio G. Martín & Manuel Díaz-Madroñero & Josefa Mula, 2020. "Master production schedule using robust optimization approaches in an automobile second-tier supplier," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 143-166, March.
    4. Brekke, Kurt R. & Holmas, Tor Helge & Straume, Odd Rune, 2011. "Reference pricing, competition, and pharmaceutical expenditures: Theory and evidence from a natural experiment," Journal of Public Economics, Elsevier, vol. 95(7), pages 624-638.
    5. Brekke, Kurt R. & Grasdal, Astrid L. & Holms, Tor Helge, 2009. "Regulation and pricing of pharmaceuticals: Reference pricing or price cap regulation?," European Economic Review, Elsevier, vol. 53(2), pages 170-185, February.
    6. Klamroth, Kathrin & Köbis, Elisabeth & Schöbel, Anita & Tammer, Christiane, 2017. "A unified approach to uncertain optimization," European Journal of Operational Research, Elsevier, vol. 260(2), pages 403-420.
    7. Krumke, Sven O. & Schmidt, Eva & Streicher, Manuel, 2019. "Robust multicovers with budgeted uncertainty," European Journal of Operational Research, Elsevier, vol. 274(3), pages 845-857.
    8. Mohammadi, Reza & He, Qing & Karwan, Mark, 2021. "Data-driven robust strategies for joint optimization of rail renewal and maintenance planning," Omega, Elsevier, vol. 103(C).
    9. Maria-Isabel Farfan-Portet & Carine Van de Voorde & France Vrijens & Robert Vander Stichele, 2012. "Patient socioeconomic determinants of the choice of generic versus brand name drugs in the context of a reference price system: evidence from Belgian prescription data," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 13(3), pages 301-313, June.
    10. Andreas Thorsen & Tao Yao, 2017. "Robust inventory control under demand and lead time uncertainty," Annals of Operations Research, Springer, vol. 257(1), pages 207-236, October.
    11. Bardey, D. & Bommier, A. & Jullien, B., 2010. "Retail price regulation and innovation: Reference pricing in the pharmaceutical industry," Journal of Health Economics, Elsevier, vol. 29(2), pages 303-316, March.
    12. Qiu, Haifeng & Gu, Wei & Liu, Pengxiang & Sun, Qirun & Wu, Zhi & Lu, Xi, 2022. "Application of two-stage robust optimization theory in power system scheduling under uncertainties: A review and perspective," Energy, Elsevier, vol. 251(C).
    13. Matteo Galizzi & Simone Ghislandi & Marisa Miraldo, 2011. "Effects of Reference Pricing in Pharmaceutical Markets," PharmacoEconomics, Springer, vol. 29(1), pages 17-33, January.
    14. Curcio, Eduardo & Amorim, Pedro & Zhang, Qi & Almada-Lobo, Bernardo, 2018. "Adaptation and approximate strategies for solving the lot-sizing and scheduling problem under multistage demand uncertainty," International Journal of Production Economics, Elsevier, vol. 202(C), pages 81-96.
    15. Herr, A. & Suppliet, M., 2011. "Co-Payment Exemptions and Reference Prices: an Empirical Study of Pharmaceutical Prices in Germany," Health, Econometrics and Data Group (HEDG) Working Papers 11/18, HEDG, c/o Department of Economics, University of York.
    16. Qian, Qu & Zhuang, Weifen, 2017. "Tax/subsidy and capacity decisions in a two-tier health system with welfare redistributive objective," European Journal of Operational Research, Elsevier, vol. 260(1), pages 140-151.
    17. Pejman Peykani & Jafar Gheidar-Kheljani & Reza Farzipoor Saen & Emran Mohammadi, 2022. "Generalized robust window data envelopment analysis approach for dynamic performance measurement under uncertain panel data," Operational Research, Springer, vol. 22(5), pages 5529-5567, November.
    18. Brekke, Kurt R. & Konigbauer, Ingrid & Straume, Odd Rune, 2007. "Reference pricing of pharmaceuticals," Journal of Health Economics, Elsevier, vol. 26(3), pages 613-642, May.
    19. Hanks, Robert W. & Weir, Jeffery D. & Lunday, Brian J., 2017. "Robust goal programming using different robustness echelons via norm-based and ellipsoidal uncertainty sets," European Journal of Operational Research, Elsevier, vol. 262(2), pages 636-646.
    20. Bendotti, Pascale & Chrétienne, Philippe & Fouilhoux, Pierre & Pass-Lanneau, Adèle, 2021. "Dominance-based linear formulation for the Anchor-Robust Project Scheduling Problem," European Journal of Operational Research, Elsevier, vol. 295(1), pages 22-33.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:263:y:2017:i:3:p:996-1006. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.