Appointments in care pathways: the \(Geo^x/D/1\) queue with slot reservations

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• 作者：Maartje E. Zonderland (1)
  Richard J. Boucherie (1)
  Ahmad Al Hanbali (2)
  
  1. Stochastic Operations Research & Center for Healthcare Operations Improvement and Research ; University of Twente ; Postbox 217 ; 7500 AE ; Enschede ; The Netherlands
  2. Industrial Engineering and Business Information Systems ; University of Twente ; Postbox 217 ; 7500 AE ; Enschede ; The Netherlands
  
• 关键词：Matrix ; geometric analysis ; Probability generating functions ; Healthcare ; Appointment planning ; Care pathways ; 60K25 ; 90B22
• 刊名：Queueing Systems
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：79
• 期：1
• 页码：37-51
• 全文大小：290 KB
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• 刊物类别：Business and Economics
• 刊物主题：Economics
  Operation Research and Decision Theory
  Computer Communication Networks
  Probability Theory and Stochastic Processes
  Production and Logistics
  Systems Theory and Control
  
• 出版者：Springer Netherlands
• ISSN：1572-9443

文摘

Motivated by the increasing popularity of care pathways in outpatient clinics, where some patients complete a significant part of the path in one day, hospitals aim to optimize the flow of these patients by prioritizing them in the appointment planning process. This paper considers the \(Geo^x/D/1\) queue with slot reservations that serves regular patients and priority patients. Priority patients reserve a time slot in a reservation window and are blocked when all slots in the reservation window are occupied by other priority patients. The reservation window models the advance reservation of service slots by patients on a care pathway. We model the \(Geo^x/D/1\) queue as a \(M/G/1\) -type queue and apply a matrix-analytic approach, which simplifies to a matrix-geometric solution. We use the vector generating functions to derive the patients鈥?waiting times. Numerical experiments illustrate the influence of the reservation window on the number of regular and priority patients present and the blocking probabilities for priority patients.