Seyed - As I responded on LinkedIn...
o Every "Markov decision process" is a sequential decision problem, but when people refer to MDPs in the OR community, they typically assume you are going to use Bellman's equation. I am sure there are countless papers using Bellman's equation in the academic literature, but as you suspect, I also suspect that there are very few real-world uses of Bellman's equation in practice, and there are a variety of reasons for this. One of the most important is the lack of transparency (a big issue in health).
o Doctors follow "protocols" which is the word they use for "policy". They don't design the protocols - those come from the medical research community and governing boards (I am not a health expert - I am not exactly sure of the process for designing protocols, but it is not the doctors).
o I do not know how the protocols are designed, but they have to use some method. I doubt that it is with Bellman's equation, but I can guarantee that it is one of my four classes of policies (see https://tinyurl.com/sdalinks for a wealth of information on this). The medical community needs transparency in their protocols, which Bellman's equation lacks. I am pretty sure that the process of designing the protocols can be described as a PFA or CFA (see the link above), but these imply tunable parameters, and I am not at all sure that the parameter tuning is being done in a formal way (but I honestly do not know the answer to this).
o Note that protocols are often designed as an output of a clinical trial, but not always. Some drugs are approved for one application, and then doctors discover other applications ("off label"). When this occurs, the protocol is being designed outside of a clinical trial (again - I am out of my expertise here).
I don't want to make any sweeping statements about how decisions are made in health - this is a deep and rich field with a lot of smart people, but I suspect that relatively few of the more sophisticated methods in the academic literature are used in practice. Don't let this discourage you - it is an opportunity. At the same time, rather than barging in to a field like health telling them they are doing it wrong, you need to look for areas where they are asking for help. My experience is that medical decision making may be difficult to crack.
An easier path into problem domains like health is to start from more strategic questions rather than trying to change how real decisions are made in the field. For example, you might want to estimate the level of adoption of a new COVID vaccine that requires simulating the decisions that doctor's make (rather than actually showing up and trying to change how they make decisions). ALthough a doctor might not use a sophisticated tool, you may still need a reasonably sophisticated method to mimic the intelligence of how doctor's make decisions (this is something we do at Optimal Dynamics, the company that I started where we optimize driver dispatching decisions in a simulator to help with other decisions).
Health is a huge area - spend some time in it and talk to experts who are familiar with how problems are solved to find the areas where people actually need help.
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Warren Powell
Chief Innovation Officer, Optimal Dynamics
Professor Emeritus, Princeton University
http://www.castle.princeton.edu/------------------------------
Original Message:
Sent: 12-06-2023 13:06
From: Seyed Amirhossein Moosavi
Subject: How Widespread Is the Application of MDPs in Medical Decision Making?
I'm curious about the current prevalence of Markov Decision Processes (MDPs) in medical decision-making. I've seen several research papers on this topic but was unable to find evidence of real-world implementations. Could you share examples of the widespread use of MDPs in the medical field (preferably with references)?
Thanks!
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Seyed Amirhossein Moosavi
University of Ottawa
Ottawa ON
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