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Accepted for/Published in: JMIR Formative Research

Date Submitted: Oct 4, 2022
Date Accepted: Jan 23, 2023

The final, peer-reviewed published version of this preprint can be found here:

Optimizing an Adolescent Hybrid Telemedical Mental Health Service Through Staff Scheduling Using Mathematical Programming: Model Development Study

Palmer A, Johns G, Ahuja A, Gartner D

Optimizing an Adolescent Hybrid Telemedical Mental Health Service Through Staff Scheduling Using Mathematical Programming: Model Development Study

JMIR Form Res 2023;7:e43222

DOI: 10.2196/43222

PMID: 36976622

PMCID: 10131707

Warning: This is an author submission that is not peer-reviewed or edited. Preprints - unless they show as "accepted" - should not be relied on to guide clinical practice or health-related behavior and should not be reported in news media as established information.

Mathematical Modelling for Scheduling Staff in a Hybrid Telemedical Service: The Case of Adolescent Mental Health

  • Abigail Palmer; 
  • Gemma Johns; 
  • Alka Ahuja; 
  • Daniel Gartner

ABSTRACT

Background:

According to the WHO, globally, one in seven 10 to 19-year-olds experiences a mental disorder, accounting for 13% of the global burden of disease in this age group. Half of all mental illnesses begin by the age of 14 years old and some of them with severe presentations must be admitted to hospitals and assessed by highly skilled mental health care practitioners.

Objective:

Telehealth can be used to assess young people and children remotely and ultimately save travel costs for the health service. The aim of this paper is to share insights how we developed a decision support tool to assign staff to days and hospital locations where adolescent mental health patients are assessed face to face, or, where possible, patients are seen through video consultation.

Methods:

To model the problem, we used integer linear programming, a technique which is used in mathematical modelling. The model is implemented using an Open Source solver back-end.

Results:

In our case study, we focus on real-world demand coming from different hospital sites in UK’s National Health Service (NHS). We incorporate our model into a decision support tool and solve a realistic test instance using Microsoft Excel and the Open Source solver back-end.

Conclusions:

Our approach can be used by NHS managers to better match capacity and location-dependent demand within an increasing need for hybrid telemedical services and the aims to reduce travelling and the carbon footprint within healthcare organizations.


 Citation

Please cite as:

Palmer A, Johns G, Ahuja A, Gartner D

Optimizing an Adolescent Hybrid Telemedical Mental Health Service Through Staff Scheduling Using Mathematical Programming: Model Development Study

JMIR Form Res 2023;7:e43222

DOI: 10.2196/43222

PMID: 36976622

PMCID: 10131707

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