The Price of Anarchy, the Price of Stability, and the Price of Communication in Interacting Intensive Care Units

The price of anarchy (PoA), the price of stability (PoS), and the price of communication (PoC) are measures of how inefficient the system is if interacting intensive care units (ICUs) do not communicate, communicate but do not cooperate, and communicate and cooperate, respectively. For this project we model the interaction between two ICUs as a continuous-time Markov chain and calculate the PoA, PoS, and PoC, and interpret the results. The model can be extended to incorporate more ICUs, or units and wards in the same hospital.

Ashley Hanson

The University of Melbourne

Ashley Hanson is a current University of Melbourne student who has recently completed a Bachelor of Science (Chemical Physics) and Diploma in Mathematical Sciences. Ashley’s studies in mathematics have been focused in the areas of optimisation, probability, statistics and game theory. Last year, Ashley had the opportunity to work on a short project within his university that analysed the optimal loading-zone reservations for couriers. Ashley enjoys taking an everyday problem and analysing it in a mathematical way. In 2021, Ashley plans to commence a Master of Science (Mathematics and Statistics).

During his undergraduate studies, Ashley has been involved in the tutoring of first-year students in the School of Mathematics and Statistics at the University of Melbourne. Ashley has also taught mathematics to VCE students at two not-for-profit student-led organisations within his university. Ashley’s other extracurricular activities include hosting new university students at orientation week and being a regular student representative in his subjects. In taking part in these activities, Ashley has completed the Leaders in Communities Award.

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