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Application of Simulation and Queueing Theory to Scheduling Community Mental Health Assessment

A simulation study showing the benefits of local queue sharing for mental health assessment appointments across centres in Devon. Pilot implementation has demonstrated significant reductions in waiting times.

Outline

Devon Partnership Trust, who run mental health services across most of Devon, planned to implement a “choose and book” telephone booking system for mental health assessment. The Peninsula Collaboration for Health Operational Research and Development (PenCHORD) a research team based in the Medical School at Exeter University were asked to advise on how many appointment slots were needed in each team to meet waiting time targets. Simulation was used to assess the choose and book system and to demonstrate the principle of queue sharing where waiting times may be reduced by allowing teams to share work when appropriate. The result is that the trust has significantly reduced waiting times for mental health assessment.

Funding

This work formed part of the Collaboration for Leadership in Applied Health Research and Care for the South-West Peninsula (PenCLAHRC) funded by the National Institute for Health Research (NIHR)

Method

A simulation model was developed in Simul8. Patients arrive at random and in proportion to the demand in each team region. Patients may be seen by any team as identified in a “pooling matrix” – this may be used to limit patients being seen only by their local team or by being seen by close neighbouring teams (or a hypothetical model may be tested when any patient may be seen by any team – to understand the maximum beneficial effect of queue sharing). The simulation model contains a virtual diary of appointment slots available for each team; patients are then allocated to these diary slots.

Scenarios were tested with varying capacity within each team and also with varying strategies of sharing of work. The example below shows one example of queue-sharing between teams and demonstrates how most of the potential benefits of queue sharing can be obtained with local sharing between neighbouring teams.

Screen shot of simulation model used to access different queue sharing configurations

MH_SimulationScreen

Outputs

Scenarios were tested with varying capacity within each team and also with varying strategies of sharing of work. The example below shows one example of queue-sharing between teams and demonstrates how most of the potential benefits of queue sharing can be obtained with local sharing between neighbouring teams.

Map showing the suggested sharing sharing between centres and simulated impact of queue sharing

MH_MapAndOutput

Implementation and Impact

The choose and book system has been implemented with local queue sharing – appointment slots within the target time and within the local area are available to be booked by the patient.  The chart below shows a significant reduction in waiting times achieved during the roll-out of the first area (with sharing between two teams as necessary). The system is now being rolled out across Devon.

Graph showing the reduction in wait times for appointments experienced in pilot phase

MH_ImpactGraph

Further Information

For full information about this case study (and others by PenCHORD) go to: http://clahrc-peninsula.nihr.ac.uk/penchord

Client

Devon Partnership Trust

Developer

The Peninsula Collaboration for Health Operational Research and Development (PenCHORD)

Key Dates

2011

Contact Person

Prof Martin Pitt

Contact Email

m.pitt [at] exeter.ac.uk

Website

clahrc-peninsula.nihr.ac.uk/penchord

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