An M/E k /1 queues with emergency non-preemptive priority of a diagnostic resource

Jie Zhou () and Jun Li ()
Additional contact information
Jie Zhou: Southwest Jiaotong University
Jun Li: Southwest Jiaotong University

Operational Research, 2017, vol. 17, issue 1, No 1, 16 pages

Abstract: Abstract Each patient is assigned to a specific scanner in CT department of a large-size hospital. Emergency patients have non-preemptive priority access to service. The service time of each CT scanner follows an Erlang distribution by data analysis from this hospital. We develop an M/E k /1 queueing model with emergency non-preemptive priority. Firstly, the expected waiting time of the jth phase regular patient in the waiting queue is given by Laplace transform. Using this and generating function of the steady-state of phase distribution, the expected waiting time of an arbitrary regular patient is obtained. A total cost function which includes the penalty cost for unutilized medical resources and waiting cost of regular patients is constructed. The optimal arrival rate of regular patients so as to minimize the total cost is given by Kuhn–Tucker condition. Some numerical examples which are based on real data are given.

Keywords: M/E k /1; Healthcare operations management; Emergency non-preemptive; Kuhn–Tucker condition; 90B22; 68M20 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s12351-015-0211-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:operea:v:17:y:2017:i:1:d:10.1007_s12351-015-0211-z

Ordering information: This journal article can be ordered from
https://www.springer ... search/journal/12351

DOI: 10.1007/s12351-015-0211-z

Access Statistics for this article

Operational Research is currently edited by Nikolaos F. Matsatsinis, John Psarras and Constantin Zopounidis

More articles in Operational Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().