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Related Concept Videos

Block Diagram Reduction01:22

Block Diagram Reduction

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The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
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Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
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Constructing operating theatre schedules using partitioned graph colouring techniques.

Ahmed Kheiri1,2, Rhyd Lewis2, Jonathan Thompson2

  • 1Department of Management Science, Lancaster University, Lancaster, UK.

Health Systems (Basingstoke, England)
|November 8, 2021
PubMed
Summary
This summary is machine-generated.

Hospital operating theatre scheduling can be optimized to reduce patient cancellations. This study uses graph coloring to improve bed availability, leading to fewer delays and better patient flow.

Keywords:
OR in health servicesgraph colouringinteger programmingoptimisationscheduling

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Area of Science:

  • Operations Research
  • Healthcare Management
  • Computer Science

Background:

  • Scheduled operations are frequently cancelled due to insufficient post-operation recovery beds.
  • Operating theatre scheduling is a complex optimization problem with significant implications for hospital efficiency.

Purpose of the Study:

  • To develop an exact optimization technique for master surgery schedules to minimize elective operation cancellations.
  • To improve post-operative bed utilization and patient throughput.

Main Methods:

  • Utilized a partitioned graph coloring approach for optimal master surgery schedule construction.
  • Employed simulation to assess schedule robustness against stochastic patient arrivals.
  • Integrated a scenario-based model to account for stochastic bed requirements.

Main Results:

  • Optimized schedules increased post-operative bed utilization.
  • Demonstrated a significant decrease in the number of operation cancellations.
  • Simulation results indicated improved coping with patient arrival variability.

Conclusions:

  • The proposed graph coloring technique effectively minimizes surgery cancellations.
  • The scenario-based model enhances schedule robustness for stochastic bed demands.
  • The approach can lead to reduced patient waiting times and increased hospital throughput.