Queueing theoretic analysis of labor and delivery
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Author(s) • • •
Gombolay, Matthew
Golen, Toni
Shah, Neel
Shah, Julie A
Date Issued
September 2017
Journal
Health Care Management Science
Publisher
Springer US
Citation
Gombolay, Matthew, Toni Golen, Neel Shah, and Julie Shah. “Queueing Theoretic Analysis of Labor and Delivery.” Health Care Management Science 22, no. 1 (September 4, 2017): 16–33.
Version
Author's final manuscript
Abstract
Childbirth is a complex clinical service requiring the coordinated support of highly trained healthcare professionals as well as management of a finite set of critical resources (such as staff and beds) to provide safe care. The mode of delivery (vaginal delivery or cesarean section) has a significant effect on labor and delivery resource needs. Further, resource management decisions may impact the amount of time a physician or nurse is able to spend with any given patient. In this work, we employ queueing theory to model one year of transactional patient information at a tertiary care center in Boston, Massachusetts. First, we observe that the M/G/∞ model effectively predicts patient flow in an obstetrics department. This model captures the dynamics of labor and delivery where patients arrive randomly during the day, the duration of their stay is based on their individual acuity, and their labor progresses at some rate irrespective of whether they are given a bed. Second, using our queueing theoretic model, we show that reducing the rate of cesarean section – a current quality improvement goal in American obstetrics – may have important consequences with regard to the resource needs of a hospital. We also estimate the potential financial impact of these resource needs from the hospital perspective. Third, we report that application of our model to an analysis of potential patient coverage strategies supports the adoption of team-based care, in which attending physicians share responsibilities for patients.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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DOI of Published Version
https://doi.org/10.1007/s10729-017-9418-2