queuing theory


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queuing theory

A theory by Danish mathematician AK Erlang (1878-1929), which he developed to determine the capacity of telephone networks. Queuing theory (QT) becomes immediately applicable to UK medical practice by substituting hospital beds for Erlang’s telephone lines, call arrival rate for admission rate into beds and average call duration for average length of stay. QT explains why average bed occupancy depends on the size and functional requirements of each specialty bed pool: whereas large hospitals in the USA and Europe have a 77–78% national average bed occupancy rate, the UK average is 87%, a rate which results in larger patient turnaway (e.g., due to queues for a bed, cancelled operations, medical patients in surgical beds), missed waiting time targets and organisational chaos manifested by increased use of antidepressants by overworked staff, increased hospital errors, cross-infection and patient deaths.

R Jones, author of a 2011 paper linking QT to the UK’s chronic bed shortage, argued that the Stafford Hospital scandal and the subsequent 400+ excess deaths were linked to the unrecognised role of excessive whole-hospital occupancy.
References in periodicals archive ?
Queuing theory is an integral part of Lean Six Sigma improvement methodology at Lehigh Valley Health Network, a critical tool during the planning phase that provides a sound framework for process optimization that includes staffing plan productivity.
The first is the conventional queuing theory model, in which the average service time of charger is 203 minutes.
Rooted in the techniques of collaboration in emergency supply chain coupled with queuing theory and system optimization, the proposed methodology embeds three mechanisms: (1) multiechelon supply chain model for disasters, (2) dynamic facility location and vehicle routing selection, and (3) rescue system management collaboration.
This phenomenon is analogous to reneging in case of queuing theory. The customers get impatient (reneged) following exponential distribution with parameter [xi].
The other side of the equation comes from the supply, or process of arrivals, and relates to how the oil industry can be explained using the Queuing Theory. The supply will not only be concerned with how much oil is coming out of the ground, but also will need to look into the refining capabilities for the industry overall.
Queuing theory in function of planning the capacity of the container terminal in port of Rijeka, Scientific Journal of Maritime Research, Vol.
After introducing the basic concepts and reviewing probability theory, they cover measurement and testing techniques, benchmarking and capacity planning, data representation and advanced topics on validation modeling, basics of queuing theory, queuing networks, operational and mean value analysis, simulation techniques, commonly used distributions in simulation and their application, analyzing simulation results, and simulation software and case studies.
The book is organised into nineteen chapters ranging from linear programming, Sequencing, Inventory management, Queuing theory, Replacement theory, PERT-CPM, Decision Theory to Markov Chains, Dynamic Programming, Simulation to Forecasting.
They studied queuing theory - which examines the best way to meet random demand for service - to help them figure out the proper staffing levels.
Mr Herdan retorted that officials had talked to Tesco about "queuing theory".
Keywords: earthwork, productivity, neural networks, queuing theory, systems of collaborating construction machines, construction industry.