Interviews in the Medical Physics residency match (too many, and what to do about it..)

Medical physics has a residency match, and like other residency matches it is suffering from (apparently) too many interviews.

Here's a signed editorial in the Journal of Applied Clinical Medical Physics (one correlate of it being an editorial rather than a paper is this:
"Received: 4 September 2019 | Accepted: 5 September 2019")

Some considerations in optimizing the Medical Physics Match
by Richard V. Butler1, John H. Huston1, George Starkschall2
1Department of Economics, Trinity University, San Antonio, TX,
2Department of Radiation Physics, The University of Texas MDAnderson Cancer Center, Houston, TX

"In 2018, 79% of graduates of CAMPEP‐accredited graduate programs were accepted into residency programs.4 Consequently, to ensure a match, candidates interview at many programs. There is also a harmful feedback mechanism here. As applicants apply to more programs, the acceptance rate at each program declines. Consequently, applicants may apply to even more programs to increase their perceived probability of acceptance into a program. This is costly for the candidates in terms of travel expenses, and costly for the interviewing faculty in terms of time away from research, clinic, and teaching.
...
"Because the problem of optimal applications is an economics problem, there has been a search for solutions and a developing literature on the subject. Balter et al.5 show that limiting the number of applications candidates can submit is superior to limiting the number of applications a program can evaluate. Entering an application limit into the Gale/Shapley algorithm that underlies the matching process, the authors conclude that "the optimal limit in the number of applications balances the tradeoff between being unmatched and gaining a better match in the aggregate, and the benefit can be considerable if the graduates'preferences over the positions are not very correlated.
...
"Another approach to a solution is "signaling." A program would be permitted to notify a small number (somewhere between three and five) of applicants prior to interviews that it is seriously interested in them. This gives the applicant useful information about his/her chances at that particular program and so makes the benefit function a bit less fuzzy. Because the problem in medical physics seems to be more at the interview stage than the initial application stage, some form of signaling by institutions offering residencies might help reduce uncertainty so that at least some applicants could focus on the places where they have good chance and pass on visits to some of their more marginal options."
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Here are earlier posts on the medical physics residency match.