An Erlang Loss Bound for Finite Tandem Queues with Intensive-Medium Care Application

Nico Dijk () and Yufan Cui
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Nico Dijk: University of Amsterdam
Yufan Cui: University of Amsterdam

A chapter in Operations Research Proceedings 2024, 2025, pp 399-405 from Springer

Abstract: Abstract Finite tandem queues are known to be widely applicable but also hard to solve analytically. Particularly by the Covid-19 pandemic these revived as of practical and solvability interest. An Intensive Care system in a hospital can be regarded as a finite tandem queue with a finite Intensive Care (ICU) and a finite Medium Care Unit (MCU) (also known as Step-Down Unit). This may lead to losses or a hold up at the ICU. An ICU patient might pass both stages for recovery and observation. A key-indicator is the ICU congestion probability. The present paper aims to provide: a first-order if not reasonably accurate lower bound by a simple Erlang loss expression and numerical support for a realistic ICU-MCU application.

Keywords: Intensive care unit; Medium care/Step Down unit; Erlang loss probability; Tandem queue (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/978-3-031-92575-7_57

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