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 ?
The next question is, 'How can a relationship between the markets for oil and the Queuing Theory be explained?
While the literature reviewed above suggests that Vancouver's immigrants may not benefit from the local presence of a large immigrant community, Wanner (2000), supporting the queuing theory, finds that occupational status among immigrants increases with an ethnic groups' proportionate share of the total population.
The original 4,000 particles in the experiment can be reconstructed using queuing theory based on the formula:
This is in contrast to the voice network, which smoothes out over larger scales, making it relatively easy, using standard queuing theory, to estimate demand over time.
With static analysis techniques such as queuing theory and spreadsheets, he continues, "you know the average wait time and number of items in a queue, but there is no way to further examine the data.
What lessons queuing theory holds for hospitality organizations.
It's a paradox but a scientific principle, according to Stanford University Prof J Michael Harrison, who traffics in the exotic mathematical specialty known as queuing theory.
One instance of the successful application of queuing theory took place in an Oklahoma bank (Foote, 1976).
In order to assess performance criteria for each plant layout, mathematical models based on queuing theory principles were developed to enable the performance of each generic plant layout to be assessed on relative costs of WIP and machine idle time.
Perhaps most interesting are the implications for queuing theory.
Queuing theory and discrete event simulations help with such questions.
Some of the more common OR techniques are linear programming and formulations with trendy names like probability theory, queuing theory, Monte Carlo Methods and game theory (which is frequently referred to as simulation).