Skip to main content
Log in

Probabilistic Modeling of Exam Durations in Radiology Procedures

  • Published:
Journal of Digital Imaging Aims and scope Submit manuscript

Abstract

In this paper, we model the statistical properties of imaging exam durations using parametric probability distributions such as the Gaussian, Gamma, Weibull, lognormal, and log-logistic. We establish that in a majority of radiology procedures, the underlying distribution of exam durations is best modeled by a log-logistic distribution, while the Gaussian has the poorest fit among the candidates. Further, through illustrative examples, we show how business insights and workflow analytics can be significantly impacted by making the correct (log-logistic) versus incorrect (Gaussian) model choices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Lloyd HD, Holsenback JE: The use of six sigma in health care operations: application and opportunity. Acad Health Care Manag J 2:41–49, 2006

    Google Scholar 

  2. Nitrosi A, Borasi G, Nicoli F, Modigliani G, Botti A, Bertolini M, Notari P: A filmless radiology department in a full digital regional hospital: quantitative evaluation of the increased quality and efficiency. J Digit Imaging 20:140–148, 2007

    Article  PubMed  PubMed Central  Google Scholar 

  3. Towbin AJ, Iyer SB, Brown J, Varadarajan K, Perry LA, Larson DB: Practice policy and quality initiatives: decreasing variability in turnaround time for radiographic studies from the emergency department. Radiographics 33(2):361–371, 2013

    Article  PubMed  Google Scholar 

  4. Boland GW, Halpern EF, Gazelle GS: Radiologist report turnaround time: impact of pay-for-performance measures. AJR Am J Roentgenol 195(3):707–711, 2010

    Article  PubMed  Google Scholar 

  5. Gunn ML, Lehnert BE, Maki JH, Hall C, Amthor T, Senegas J, Beauchamp NJ: Using modality log files to guide MR protocol optimization and improve departmental efficiency. Radiological Society of North America (RSNA) Annual Meeting 2015. Health Services, Policy and Research (Medical/Practice Management) SSM12-02. 2015.

  6. Gardiner JC, Luo Z, Xiaoqin T, Ramamoorthi RV: Fitting heavy-tailed distributions to health care data by parametric and Bayesian methods. J Stat Theory Pract 8(4):619–652, 2013. https://doi.org/10.1080/15598608.2013.824823

    Article  Google Scholar 

  7. Marazzi A, Paccaud F, Ruffieux C, Beguin C: Fitting the distributions of length of stay by parametric models. Med Care 36:915–927, 1998. https://doi.org/10.1097/00005650-199806000-00014

    Article  CAS  PubMed  Google Scholar 

  8. Silva E, Lisboa P: Analysis of the characteristic features of the density functions for Gamma, Weibull and log-normal distributions through RBF network pruning with QLP. Proceedings of the 6th WSEAS Int. Conf. on Artificial Intelligence, Knowledge Engineering and Data Bases, 2007;6: pp 223–228

  9. Clarke DE, Muhammad E: Some useful properties of log-logistic random variables for healthcare simulation. Int J Stat Med Res 4:79–86, 2015

    Article  Google Scholar 

  10. Levy R: Probabilistic models in the study of language, chapter 4–parameter estimation, under preparation, http://www.mit.edu/~rplevy/pmsl_textbook/chapters/pmsl_4.PDF. Last access - Nov 15, 2016

  11. Evans D, Drew J, Leemis L: The distribution of the Kolmogorov–Smirnov, Cramer–von Mises, and Anderson–Darling test statistics for exponential populations with estimated parameters. Commun Stat Simul Commun 37:1396–1421, 2008

    Article  Google Scholar 

  12. Ramakrishnan S, Nagarkar K, Degennaro M, Srihari K, Courtney AK: A study of CT scan area of a healthcare provider. In: Ingalls RG, Rossetti MD, Smith JS, Peters BA Eds. Proceedings of the 2004 Winter Simulation Conference, 2005:2: pp 2025–2031. https://doi.org/10.1109/WSC.2004.1371565

  13. Granja C, Almada-Lobo B, Janela F, Seabra J, Mendes A: An optimization based on simulation approach to the patient admission scheduling problem: diagnostic imaging department case study. J Digit Imaging 27(1):33–40, 2014. https://doi.org/10.1007/s10278-013-9626-3

    Article  PubMed  Google Scholar 

  14. Wang L: An agent-based simulation for workflow in emergency department. Systems and Information Engineering Design Symposium. Charlottesville, VA, 2009, pp 19–23.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Usha Nandini Raghavan.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Raghavan, U.N., Hall, C.S., Tellis, R. et al. Probabilistic Modeling of Exam Durations in Radiology Procedures. J Digit Imaging 32, 386–395 (2019). https://doi.org/10.1007/s10278-018-00175-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10278-018-00175-y

Keywords

Navigation